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Mathematics Questions and Answers March 13, 2023

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Normal Distributions and Standard Scores The table below shows the average weight (in kilograms) and standard deviation of U.S. males from birth until 12 months. Using the information you learned about properties of the normal distribution, standard deviations, and z-scores to find the answers to the following problems. 1. Tommy is 3 months old

23% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c)

Hypothesis Test (Means for Two Populations) Collect 20 samples of each population of any variable and determine which one has a lower average with an alpha of 5%. For each minitab result needs to write a paragraph explaining the results and data tendencies that can be inferred in the report.

Cab Company Scheduling let Di = # of drivers who start their 8 hour shift in period I (I = 1,2,3,4,5,6) period 1 12:00:00 AM--4:00am period 4 12 noon -- 4:00pm period 2 4:00am -- 8:00am period 5 4:00pm -- 8:00pm period 3 8:00am -- 12 noon period 6 8:00pm -- midnight average fare/ driver # of drivers in each period period 1 80 period 2 500 period 3

Can pleasant smells improve learning? Researchers performed an experiment in which 42 subjects were randomly assigned to one of two comparison groups. Subjects assigned to the "treatment" group completed a paper-and-pencil maze with the presence of a floral aroma. Subjects assigned to the control group completed a paper-and-pencil maze without the

A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 130 ounces and a standard deviation of 0.30 ounce. You randomly select 45 can and carefully measure the contents. The sample mean of the cans is 129.9 ounces. Does the machine need to be reset? Explain your reasoning

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Data Driven Decision Making ECN 632 Module 4 Van Zandt Technology Case Study Assignment You have been asked to determine what Van Zandt Technology should bid in the contract for specialized individual data storage devices (thumb drives) for the U.S. Department of Defense. The minimum bid is a delivery of 600 drives per day. The winning bid will be

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When are you available agin? i lost the first part of the test. The second part is about 1-2 hours and I need to get it done today

The mean height of a group of 500 nonsmoking college students is 74 inches and the standard deviation is 5 inches. What is the probability that a random sample of 25 students from this group, the average height will be between 73 and 75 inches?

The American Society for quality(ASQ) conducted a salary survey of all its members. ASQ members work in allareas of manufacturing and service-related institutions, with a common theme ofan interest in quality. For the U.S. survey, e-mails were sent to 70227members, and 9449 valid response were received. The two most common jobs titleswere managers

Eric does not follow the delta property. He has just paid $215.00 for a certificate that allows him to call the flip of an unfair coin. If he calls it correctly he will win $500. If he calls it incorrectly he will win $0. His PISB for the certificate is $315. The Clairvoyant offers to tell Eric the outcome of the impending coin toss. What is

What is the actual number of officers from the sample who believe morale is low within the Philadelphia Police Department? (8 points) 35 126 234 335 A,B,C,D?????

which of the following statement about the normal distribution is TRUE? a) The area under the curve from one standard deviation above the mean to infinity is equal to 50% of the probability distribution. b) About 2/3 of the observatiions falls within -1 and +1 standard deviation from the mean. c) The normal curve is symmetrical around its standard

Test 2: Part B- SOCI 3443 Social Statistics CH6 to CH9 Please well prepared this exam using class material to answer these questions and you also have to take Part A: 30 multiple choices in Blackboard. Please type in your name above to prove that you answer this exam by yourself and understand the SHSU school policies in the syllabus. You HAVE TO

1. What is wrong with how Gold Coast Advertising measures its quality? Explain why Gold Coast should ask its customers about how they define quality. 2. Offer suggestions to George Stein on ways of identifying quality dimensions GCAs customers consider important. 3. Develop a short questionnaire to be filled out by GCAs customers that evaluates

Mean is 80, standard deviation is 25 What is the percentage of scores between 30 and 105? Round to 1 decimal place please Thank you!

The number of hot dogs sold by a street vendor each day during the same hour-long period is normally distributed, with a mean of 31.6 hot dogs and a standard deviation of 7.5. Using the empirical rule, identify the range of values around the mean that includes 68% of sales numbers. After your calculations, you find the range of numbers to be from

Use Chebyshevs inequality to show that P(X 2) 1/.

Errors in Hypothesis Testing In 9.2 the concepts of Type I and Type II errors are introduced. Now consider the situation where a husband and wife go to the doctors office to each get some tests run and the doctor accidently mixes up their charts. The doctor comes into the exam room with the results of the tests and declares that the wife is NOT

This worksheet was developed by Dr. Kurt Michael of Liberty University 2015 Page 1 of 6 SPSS Worksheet 3: (Two-Way ANOVA) Name: Jessica Chenoweth Instructions: Lesson 26 Exercise File 2 is located at the end of the chapter under the heading Exercises in your Green and Salkind textbook. Complete the exercise and then complete the worksheet below by

Astronauts increased in height by an average of approximately 40 mm (about an inch and a half) during the Apollo-Souyuz missions, due to the absence of gravity compressing their spines during their time in space. Does something similar happen here on Earth? An experiment supported by NASA measured the heights of six men immediately before going to

Functions Assignment (15 points) Due: 11/17/16 at 11:59 pm Submission: Please submit the .R file of your code and answers on Blackboard. Use comments (#) to state the p-value found in (1) and (2). 1) Write a function called \"t_test\" that outputs the p-value of a right-sided one sample t-test. The only two inputs should be a vector of data and

Newspaper headlines at the time and traditional wisdom in the succeeding decades have held that women and children escaped a sunken ship in greater proportion than men.Here's a table with the relevant data. Do you think that survival was independent of whether the person was male orfemale? Defend your conclusion. _ Male Female Yes 391 270 No 115

True or false: 1- A utility curve that shows utility increasing at an increasing rate as the monetary value increases represents the utility curve of a risk seeker 2- A seasonal index must be between -1 and +1 3- Utility theory provides a decision criterion that is superior to the EMV or EOL in that it may allow the decision maker to incorporate

BMRT 21004 Module 6 HW (15 Points) Note: There are 2 pages to this homework assignment. ROUND ALL ANSWERS TO AT LEAST 4 (FOUR) QUALITY DECIMAL POINTS. THIS INCLUDES PERCENTAGES. IF IT'S UNCLEAR TO YOU WHAT THIS MEANS, EMAIL ME AND I'LL EXPLAIN IT TO YOU. HW Problem 13. (5 pts) For the Generic Discrete Distribution in the table below, determine the

Question 1: The F test is used in Analysis of Variance (ANOVA). When would a researcher use an ANOVA? Explain. Questions 2: A research assistant is contemplating whether to use a One Way ANOVA or a Two Way ANOVA. The research assistant comes to you for consultation. Explain to this research assistant the differences between these two ANOVA tests.

In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained a measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected. Click

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Think about a density curve that consists of two line segments. The first goes from the point (0, 1) to the point (0.7, 1). The second goes from (0.7, 1) to (0.9, 2) in the xy-plane. What percent of observations fall between 0.7 and 0.9?

How is the rejection region defined, and how is that related to the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing? Can you think of examples in medicine, or in your area?

Give an example of a correlation study, and identify the independent and dependent variables.

Prof.: Dr. Suren Phansalker ADM2303X Spring-Summer 2016 Assignment 1 Part II Due Date: May 29 by 11:59 p.m You must attach your signed Integrity Statement to the Assignment which will be submitted in the ".pdf" format This Part II includes three questions. You must define your events and show your work. Simply writing numbers would be considered

Dear Students, this assignment is designed to help you to prepare for mastery of Social Work Competency #2: Engage Diversity and Difference in Practice. Specifically, in terms of outcomes and expected Behaviors, you should: Gain sufficient self-awareness to eliminate the influence of personal biases and values in working with diverse groups,

Name: Date: Topic Five: Correlation/Regression and Chi Square Excel Worksheet Directions: Answer all problems and submit to instructor at the end of Module 5 SYSTOLIC AND DIASTOLIC BLOOD PRESSURE OF FEMALES The following table represents systolic and diastolic blood pressure measurements of 40 females. A) Use the Excel Analysis ToolPak to find the

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A study of the ages of motorcyclists killed in crashes involves the random selection of 167drivers with a mean of 3 1 . 5 5 years. Assuming that = 1 1 . 7 years, construct and interpret a 9 5 % confidence interval estimate of the mean age of all motorcyclists killed in crashes.

Anton joined agolf club two years ago. He pays annual membership fee of $30 each time he pays a game of golf. The function below can be used to calculate the total yearly golfing fee, f(g), in dollar. f(g)= 895 +30, where g represents the number of times he played golf during the year. Last year he paid $2.065 as a total golfing fee. For how many

Instuctor's Annotated Edition TENTH EDITION Understandable Statistics Concepts and Methods Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College Australia Brazil Japan Korea Mexico Singapore Spain United Kingdom United States Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or

1)The breaking strength of a certain brand of steel cable is normally distributed with a mean =2500poundsand a standard deviation =250pounds. If a construction company buys 100 cables, what is the probability that they will have a mean breaking strength of at least 2,300 pounds? Please show work 2)The breaking strength of a certain brand of steel

Three research departments have9,8,and10 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?

2010 Age Group Under 20 20-29 30-39 40-49 50-59 60-69 70+ Total Drivers Distracted Drivers Drivers using cell phone 3,565 375 70 10,307 755 123 7,538 469 66 7,540 402 59 6,767 394 26 4,108 207 16 3,864 274 6 2011 Age group Under 20 20-29 30-39 40-49 50-59 60-69 70+ Total Drivers Distracted Drivers Drivers using cell phone 3212 344 72 10160 790 117

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Solve the problem. In a certain population, body weights are normally distributed. Not knowing the sample mean or standard deviation, how many people must be surveyed? Assume that we want 96% confidence that the error is no more than 4 percentage points. 660 317 501 232

Exercises 13.2 Interval Estimates for the Response Variable 17. In a simple linear regression based on 30 observations, the following information is provided: = 6.92 + 1.35x and se = 2.78. Also, se(0) evaluated at x = 30 is 1.02. a. Construct the 95% confidence interval for E(y) if x = 30. b. Construct the 95% prediction interval for y if x equals

A production manager knows that 5% of components produced by a particular manufacturing process have some defect. Six of these components, whose characteristics can be assumed to be independent of each other, were examined. What is the probability that two of these components has a defect?

Strayer Bus 510 Homework Assignment 7 Due in Week 8 and worth 30 points The experiment data in below table was to evaluate the effects of three variables on invoice errors for a company. Invoice errors had been a major contributor to lengthening the time that customers took to pay their invoices and increasing the accounts receivables for a major

Hello I need list of Pros and cons to the following statement, please rad the question carefully I have asked this before and got a crazy answer, it said it is answered so i doubt any tutor will come back to it, Please help, I hate wasting my money but i am to busy to think straight. Thank you so much. Require that people convicted of theft or

The following questions refer to a capital budgeting problem with sex projects represented by 0-1 variables x1, x2, x3, x4, x5, and x6: 1) write a constraint modeling a situation in which two of the projects 1, 3, 5 and 6 must be undertaken 2) write a constraint modeling a situation in which, if projects 3 and 5 must be undertaken, they must be

Portfolio Assignment #2 Due April 13 In a prior survey of 150 toothpaste users, only 18% of the respondents reported that they might buy Crest toothpaste. Naturally, the board of directors for Procter & Gamble wants a higher market share. Thus, the marketing director suggested that the company invest in a new marketing campaign that includes

Fatalities:(directlyorindirectly) -Alabama:2 -Florida:14 -Georgia:2 -Louisiana:1,577 -Mississippi:238 -Total:1,833 What was the percent of fatalities per state ? In 2009, a researcher from the ITT Technical Institute proposed (claimed) that the average cost per claim from private insurance companies were $2,500. In 2010, five years later; CNN

Linear Programming Modeling 16. The Hickory Cabinet and Furniture Company produces sofas, tables, and chairs at its plant in Greensboro, North Carolina. The plant uses three main resources to make furniture - wood, upholstery, and labor. The resource requirements for each piece of furniture and the total resources available weekly are as follows:

On a December day, the probability of snow is .30. The probability of a "cold" day is .50. The probability of snow and "cold" weather is .15. What is the conditional probability that snow will follow from the day being cold? a. .075 b. .65 c. .30 d. .50

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Dene the relation M(A,B) : AB = , where the domains for A and B are all subsets of Z. Which properties does the relation M satisfy? Hint: This problem causes a lot of grief. The relation M is a relation between subsets of Z. For example, {1,2}M{9} is true, since {1,2}{9} = . But {1,2}M{2,4,6,7} is false since {1,2}{2,4,6,7} = {2}, and not .

If mean of population is 5000 and standard deviation is 1000, what is the corresponding z score for a value of 6500?

The coffee company American Expresso has a promotion where "if you don't get your take away coffee within 180 seconds, it's free!". American Expresso has commissioned an independent study which found that the time to prepare a take away coffee at one of their stores is approximately normally distributed with a mean time of 156 seconds and a

which of the following 2 or more statements about the standard normal distribution are always true? a. if b is less than c, then the area to the left of b is less than the area to the left of c b. if a z-score is negative, then the area to the left of the z-score is negative c. if z-score is positive, then the area to the right of the z-score is

Against the wind a commercial airline in South America flew 204 miles in 2 hours. With a tailwind the return trip took 1.5hours. What was the speed of the plane in still air? what was the speed of the wind?

1. The ability to examine the variability of a solution due to changes in the formulation of a problem is an important part of the analysis of the results. This type of analysis is called __________ analysis. (Points : 2) sensitivity implicit normal scale objective 0 1252430055 MultipleChoice 3 Question 2. 2. The correlation coefficient resulting

One of the major measures of the quality of service provided by an organization is the speed with which the organization responds to customer complaints.A large family-held department store selling furniture and flirting, including carpet , had undergone a major expansion in the past several years .In particular , the flirting department has

What does the equation: R = 1 [VAR( E )/VAR( X )] mean?

Testing in Clinical and Counseling Psychology - Describing a Personality Test File In this assignment, you will examine and interpret a hypothetical examinee's scores on both the MMPI2 and the 16PF. Your task will be to integrate and describe findings from both tests in the context of information about the examinee. Learning to competently

The following charts the number of hours 12 students watch TV in a weekend and the scores of each student taking a test on Monday. 0 hours 96 on the test 1 85 2 82 3 74 3 95 5 68 5 76 5 84 6 58 7 65 7 75 10 50 Draw a scatter plot by hand. Is this data positively correlated, negatively correlated, or not correlated? Enter this data into your

Assuming you have data for a variable with n = 2,000 values, using the 2k n guideline, what is the estimated number of groups that should be used in developing a grouped frequency distribution? 6 11 5 10 20 Flag this Question Question 2 1 pts When constructing a grouped frequency distribution, would groups such as 60-70, 70-80, 80-90 be

1. We must use a t distribution table (not a Z or normal distribution table) when: a. is known and n is below 30 b. is known and n is 30 or larger c. is unknown and n is below 30 d is unknown and n is 30 or larger e. never

1. Since food trucks have been gaining popularity, Mi Casa Front Porch is testing a seasonal food truck for special events around the Phoenix Metropolitan area. The data gathered by the research team identified that the average menu item from food trucks was $6.50 and daily revenue at the events was $9500.00 with a standard deviation of $250.00.

A multiple regression model is to be constructed to model the time spent using the internet per week among internet users. The explanatory variables are age, hours spent working per week and annual income. 140 56 39 28 257 35 31 79 163 35 35 34 115 33 52 27 182 45 36 37 214 51 57 80 187 44 37 50 142 26 55 41 251 19 47 35 203 21 42 36 243 28 25 26

Passenger Vehicle Deaths The number of people killed in each state from passenger vehicle crashes for a specific year is shown. find the range, variance, and standard deviation. Please show all work for this problem. 778 309 1110 324 705 1067 826 76 205 152 218 492 65 186 712 193 262 452 875 82 730 1185 2707 1279 390 305 123 948 343 602 69 451 951

Full-Time Students Local Foreign Starting Enrollmen per Tuition Tuitiion English Work Salary Business School t Faculty ($) ($) Age %Foreign GMAT Test Experience ($) Melbourne Business School 200 5 24,420 29,600 28 47 Yes No Yes 71,400 University of New South Wales (Sydney) 228 4 19,993 32,582 29 28 Yes No Yes 65,200 Indian Institute of Management

Economics 309 - Spring 2016 Homework 1 Name: _______________________________________ CIN: _________________ Excel Workbook (submit via email to larroyo2@calstatela.edu by 10:00pm on April 15, 2016) Chapter 8: Exercise 8-1 (a,b) Chapter 9: Exercise 9-1, Exercise 9-2, Exercise 9-3, Exercise 9-4. Make sure to also state your answer in a sentence.

From the book Networks, Crowds, and Markets: Reasoning about a Highly Connected World. By David Easley and Jon Kleinberg. Cambridge University Press, 2010. Complete preprint on-line at http://www.cs.cornell.edu/home/kleinber/networks-book/ Chapter 16 Information Cascades 16.1 Following the Crowd When people are connected by a network, it becomes

\fDine In (1)/Take Out (2) Satisfaction with Service Satisfaction with Food 1 4 1 2 1 3 1 5 2 3 2 2 2 3 1 4 2 3 1 2 2 1 2 2 1 5 1 4 1 4 1 3 1 4 2 3 2 3 1 4 2 4 1 2 2 3 2 3 1 3 2 4 2 3 1 4 2 3 1 4 2 2 2 2 1 4 2 3 2 3 1 3 1 3 1 4 2 3 2 3 1 4 2 3 2 2 1 3 2 4 1 2 2 4 1 4 Overall Satisfaction 4 3 3 5 4 4 4 3 3 3 3 2 4 5 5 4 3 4 4 5 5 3 5 4 4 5 3 4 4 5

3. Among 15 electrical components exactly 3 are known not to function properly. If 6 components are randomly selected, find the following probabilities: (i) The probability that all selected components function properly. (ii) The probability that exactly 2 are defective. (iii) The probability that at least 1 component is defective. a) (i) 0.2286

A consumer survey indicates that the average household spendsu = $185 on groceries each week. The distribution of spending amounts is approximately normal with a standard deviation$25. Based on this distribution, a. What proportion of the population spends more than $200 per week on groceries? b. What is the probability of randomly selecting a

The waiting time for a commuter bus is normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes. If there are 3,000 riders a day, which of the following is the shortest time interval associated with 2,000 riders? a. 7.1 to 14 minutes b. 0 to 8.9 minutes c. 6.1 to 9.9 minutes d. 6.1 to 8 minutes

3.1 : Use the data in the spreadsheet test.xls to do the following: i. Read the data from this file into a SAS data set. Note that there are missing data values "NA" in the spreadsheet and a code "S" that you can treat as unknown. ii. Use DATA step programming to produce a data set that has the following variables: year merchandise_line total

The table lists the number of defective 60-watt lightbulbs found in samples of 100 bulbs selected over 25 days from a manufacturing process. Assume that during this time the manufacturing process was not producing an excessively large fraction of defectives. Day 1 2 3 4 5 6 7 8 9 10 Defectives 4 2 5 8 3 4 5 6 6 2 Day 11 12 13 14 15 16 17 18 19 20

Challenge #1 Step 1: Locate your store's weekly data and the group you are in below based on your last name. Group 1 - A -H or Group 2 - J - M or Group 3 - N - Z Step 2: Locate the following Data Columns from your store's weekly report. A) B) C) D) E) Sales Transactions Traffic UPT OppVol Step 3: There will be 5 functions you will have to compute

Suppose that the heights of adult women in the United States are normally distributed with a mean of 63.5 inches and a standard deviation of 2.4 inches. Jennifer is taller than 70% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to at least

School Type Private Private Private Public Private Public Private Private Private Private Private Private Private Private Private Public Public Private Private Private Best College ROI by Majo 2013: Payscale.com Cost 30 Year ROI Annual ROI $222,700.00 $1,786,000.00 $176,400.00 $1,758,000.00 $212,200.00 $1,714,000.00 $125,100.00 $1,535,000.00

You have been given the task of estimating the percentage of southwest flights that arrive on time, which is no later than 15 minutes after the scheduled arrival time. How many flights must you survey in order to be 80% confident that your estimate is within three percentage points of the true population percentage? Assume that nothing is known

The ______ distribution is the probability associated with distribution for events or variables with only two possible outcomes. factorial bimodal arrangement binomial A,B,C,D??????????

Suppose the population of all public Universities shows the annual parking fee per student is $110 with a standard deviation of $18. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a sample mean between $100 and $115 is _______.

A random variable follows a uniform distribution between 25 and 45. What is the possibility that the observed value is exactly equal to 34?

Manhattan Brooklyn Queens The Bronx Staten Island Education Marital Status 3 3 4 4 4 3 4 4 4 2 4 4 4 3 2 1 2 4 2 3 4 1 4 3 2 4 2 3 4 4 4 4 2 3 4 4 1 2 4 2 2 2 4 2 1 2 3 5 5 5 5 5 2 4 4 5 5 5 3 2 2 5 5 5 3 5 2 5 5 2 5 5 5 5 2 5 5 5 1 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 2 3 4 4 1 1 2 2 2 2 5 2 2 2 3 4 5 1 2 2 4 2 4 4 1 1 4 4 1 1 1 3 2 1 2 2 1 4 1 3 5 4

Please chose the correct answer from below. Thanks so much for your help! The estimation of which of the following requires sampling? The average SAT score of incoming freshmen at a university U.S. unemployment rate The Cleveland Indians' hitting percentage in 2010 Total rainfall in Phoenix, Arizona, in 2010

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Part IV. Hypothesis Testing 14. Your researcher's claim is that the continine level for the ETS group is not equal to zero. Compose a hypothesis test with a level of significance of .05 to test your claim. Step 1. Determine parameter of interest and compose null and alternative hypotheses. The parameter of interest is the population mean continine

TAB] Id Age 301 451 501 642 901 1701 1752 1753 1901 1951 1952 2001 2101 2401 3102 3142 3541 3551 4201 4301 4351 5151 5152 5201 5601 5642 5702 6042 6101 6801 6851 7201 7251 7252 7253 8501 8801 9101 9201 9301 9501 9801 10041 10401 10451 FEV 9 8 7 9 9 8 6 6 8 9 6 8 8 8 8 7 5 6 9 9 5 5 4 7 9 3 9 5 8 9 5 9 8 7 5 8 9 8 8 8 9 8 5 8 5 Hgt 1.708 1.724 1.72

Let X be a random variable that is uniformly distributed on (0,1). Show that for any constants a

At the Wilmington Trust Bank, on average 4 customers arrive per hour at the drive-through window. What is the probability that, in any hour, less than 4 will arrive? Round your answer to 4 decimals.

If a point is selected randomly in a square, what is the probability that it is to lie on a diagonal of that square?

The boss ask you to use probability skills to build a model to help determine the number of staff members assigned to the drive up window at the bank. You know that the most drive up customers in one day is 80 and the smallest amount served is 10. Based on this information which probability model would be a good candidate for the number of drive

A researcher wishes to estimate, with 95% confidence, the population proportion of adults who are confident with their country's banking system. His estimate must be accurate within 4% of the population proportion. A)What is the minimum sample size needed assuming that no prior information is available? N? B)What is the minimum sample size needed

On a day in May, the probability of it being a hot day is 0.45, and the conditional probability that wind will result from the day being hot is 0.40. What is the joint probability that it will be both hot and windy? a. 0.18 b. 0.67 c. 0.89 d. 0.45

David Mashley teaches two undergraduate statistics courses at Kansas College. The class for Statistics 201 consists of 7 sophomores and 3 juniors. The more advanced course, Statistics 301, has 2 sophomores and 8 juniors enrolled. As an example of a business sampling technique, Professor Mashley randomly selects, from the stack of Statistics 201

Question 3. We have created a 95% confidence interval for with the result (10, 15). a) What decision will we make if we test H0: = 16 versus H1: 16 at = 0.05? Justify your answer. A) Reject H0 in favor of H1. B) Accept H0 in favor of H1. C) Fail to reject H0 in favor of H1. D) We cannot tell what our decision will be from the information given. b)

Finite Mathematics 1. What is the difference between an expected value and a mean? 2. A couple has two children and the older child is a boy. If the probabilities of having a boy or a girl are both equal, what is the probability that the couple has two boys? 3. Suppose that an event A has a probability 0:4. Suppose moreover that P(B|A) = 0:3 and

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