Statistics Questions and Answers May 30, 2018

An event planner has found 6 types of entertainment for an upcoming event a magician, a band, a deejay, a comedian, a sketch artist, and a storyteller. He is going to choose 2 different types of entertainment 1 for the afternoon and 1 for the evening. What is the probability that the sketch artist is the afternoon entertainment a. 0.17 b. 0.33 c.

5251 3. In a group of 100 people, 20 smoke, 40 drink, 15 people smoke and drink. What is the probability that a person in this group smokes or drinks. Write the probability rule which applies. There is a 12 chance a person drinks or smoke In this example the addition rule is being used.

A certain public examination has a consistent past record of a 25% failure rate. For a group of 15 people writing the examination this year, calculate the probability that: a. at least 12 will pass; (4 marks) b. all will pass.(4 marks)

Question 5 (15 points, 555) Five departments (A through E) located in a rectangular building as shown below. Each grid is assumed to measure 10x10 D (1) Using the CRAFT twoway exchange procedure, indicate all the department pairs CRAFT would consider exchanging in the above layout. (2) By CRAFT, calculate the material handling cost between A and

Given the increasing availability of large, complex datasets (think social media activity, sensor data from smart cities), how can we develop robust statistical methods that can handle these datasets while also considering potential biases in data collection, measurement, and analysis to ensure reliable and generalizable conclusions?

A supermarket asked customers about their favourite type of bread. Seven percent responded that wholemeal bread was their favourite. Suppose 50 customers are randomly selected, find the probability that more than 10% of them say their favourite bread is wholemeal

A psychologist does a small survey on 'happiness'. Each respondent provides a vector with entries 1 or 0 corresponding to whether they answer 'yes' to a question or 'no', respectively. The question vector has attributes x = (rich, married, healthy) Thus, a response (1, 0, 1) would indicate that the respondent was 'rich', 'unmarried', 'healthy'. In

2. Individual Problems 172 Youre a contestant on a TV game show. In the final round of the game, if contestants answer a question correctly, they will increase their current winnings of 3 million to 6 million. If they are wrong, their prize is decreased to 1,500,000. You believe you have a 50 chance of answering the question correctly. Ignoring

6. (12 pts) Following are results from an analysis of variance. Treatments A B 58 62 61 61 60 59 54 228228a 60 59 58 61 64 62 KAAGGG 55 57 54 52 SUMMARY Groups Count Sum Average Variance ABC 6 354 59 8 6 366 61 4 6 338 56.3 11.1 ANOVA Source of Variation SS df MS F Pvalue F crit Between Groups 65.8 Within Groups 115.3 15 25 32.9 4.3 0.034 3.7 7.7

The state Department of Public Instruction (DPI) would like to sample high school mathematics teachers to complete a survey on teaching methods. Among high school teachers some are National Board Certified (NBC) Teachers. DPI would like to talk to at least 100 of these teachers. Below are several proposed methods of obtaining this sample. For

Consider a standard deck of 52 cards. Suppose you draw 3 cards without replacement. What is the probability that the third one is a Jack given that neither of the first two cards are Jacks? Round your answer to 4 decimal places

A gumball machine contains 7 red gumballs and 6 white gumballs. Two gumballs are purchased, one after the other, without replacement. Find the probability that at least one gumball is white. Express your answer as a decimal, rounded to the nearest hundredth.

3. A small manufacturing firm sells 1 machine per month with probability 0.3 it sells 2 machines per month with probability 0.1 it never sells more than 2 machines per month. If X represents the number of machines sold per month, (a) find the mean and variance of X. (b) If the monthly profit is 2x 3X 1 (in thousands of dollars), find the expected

Research has shown that children age 12 and older spend on average of 5.5 hours on their phones. What is the probability that a child spends more than 7 hours on phone?

The alternating current (AC) breakdown voltage of an insu- lating liquid indicates its dielectric strength. The article "Testing Practices for the AC Breakdown Voltage Testing of Insulation Liquids" (IEEE Electrical Insulation Magazine, 1995: 21-26) gave the accompanying sample observations on breakdown voltage (kV) of a particular circuit under

In a survey of 3226 adults, 1498 say they have started paying bills online in the last year. Construct a 99 confidence interval for the population proportion. Interpret the results. A 99 confidence interval for the population proportion is () (Round to three decimal places as needed.) Interpret your results. Choose the correct answer below. OA.

A social media company wants to improve user engagement on its platform. They have implemented a new feature and are monitoring its effect on two key metrics: daily logins and time spent per user. They collected data for one month before the feature launch (control group) and one month after (treatment group). The data shows a statistically

4. A national poll claims that 20 of all households with children have only one child. Delaney, a statistics student, wondered if the rate of single child families at her high school was different from the national proportion. To test this claim, she took a random sample of 150 students at her high school and tested the hypotheses listed below

10.16 needing the answers written not in excel.seenew photo below Consider the following data from two independent samples with equal population variances. Construct a \( 90 \% \) confidence interval to estimate the difference in population means. Assume the populat 2 answers

A community college student interviews everyone in a statisticsclass to determine the percentage of studentsthat own a car.A) stratified B) random C) cluster D) convenience E)systemat 2 answers

2. Your company manufactures hot water heaters. The life spansof the products are known to be normally distributed with a mean of13 years and a standard deviation of 1.5 years. What is theprobabili 2 answers

Utilice los datos de la siguiente tabla, que enumera laprecisin de los pedidos desde el automvil en cadenas populares decomida rpida. Suponga que los pedidos se seleccionan al azar delos incl 2 answers

Q2. La Divisin de Investigacin y Desarrollo de una empresa hadesarrollado tres posibles nuevos productos. Sin embargo, paraevitar la diversificacin indebida de la lnea de productos de laemp 2 answers

Cundo obtienen las personas creativas sus mejoresideas? USA Today hizo una encuesta de 966 inventores (quetienen patentes estadounidenses) y obtuvo la siguienteinformacin.Momento del da 2 answers

The serving size of a scotch drink is 50 milliliters. The AP price of a one-liter bottle of Scotch is $9.10, and its servable yield is 95 percent. What is the approximate servable cost of one serving 2 answers

participants 5. Of 1019 U.S. adults responding to a 2017 Harris poll, 47 said they always or often read nutrition labels when grocery shopping. (a) Construct a 95 confidence interval for the population proportion of U.S. adults who always or often read nutrition labels when grocery shopping. (b) What is the width of the 95 confidence interval (c)

As part of a project for their Intro Stat course, two students compared two brands of chips, Frito Lays and Golden Flakes, to see which company gives you more for your money. Five bags of each brand (which, according to the label, each contained 35.4 grams) were measured with a very accurate scale. Use the Wilcoxon Rank-Sum test to see if there

Enter the data from the table below into Minitab. Perform the onesample ttest on appropriate hypotheses using the pvalue approach at significance level .05. Compare the test outcome with the 95 twosided confidence bound on 1.3 1.1 216 1.2 0.9 0.7 1.0 1.7 1.7 0.9 1.7 1.9 1.3 2.1 1.6 1.8 1.4 1.3 1.9 1.6 0.8 2.0 1.7 1.6 2.3 2.0 Your report should

Modify the Pigskin spreadsheet model so that except for month 6, demand does not have to be met on time. The only requirement is that all demand must be met eventually by the end of month 6. How does this change the optimal production schedule? How does it change the optimal total cost?

Question

Conclusion Given the body temperatures in the table, what issue can be addressed by conducting a statistical analysis of the data?

Subject 1 2 3 4 5 White 8.7 5.9 7.3 6.2 5.9 Red 4.91 5.59 4.44 4.80 5.17

Texting While Driving USA Today reported results from an Arity survey in which 2018 drivers were asked if they text while driving. Among the respondents, 42% said that they text while driving. What is the exact value that is 42% of the number of respondents? Could the result from part (a) be the actual number of respondents who said that they text

In Exercises 5-12, identify whether the given value is a statistic or a parameter. Drivers According to the Federal Highway Administration, there are 212 million licensed drivers in the United States. Birth Genders In the same study cited in the preceding exercise, 51% of the babies were girls. Prisoners According to the U.S. Bureau of Justice,

In Exercises 13-20, determine whether the data are from a discrete or continuous data set. House Attendance The Clerk of the U.S. House of Representatives records the number of representatives present at each session. Texting Fatalities The Insurance Institute for Highway Safety collects data consisting of the numbers of motor vehicle fatalities

In Exercises 21-28, determine which of the four levels of measurement (nominal, ordinal, interval, ratio) best describes the given data. College Students In order to better plan for the incoming freshman class, a college dean asks each newly admitted student to identify their likely major (physics, business, math, psychology, engineering, law,

In Exercises 29-32, identify the level of measurement of the data as nominal, ordinal, interval, or ratio. Also, explain what is wrong with the given calculation. Social Security Numbers As part of a project in a statistics class, students report the last four digits of their Social Security numbers, and the average (mean) of those digits is

Exercises 5-8 refer to the study of an association between which ear is used for cell phone calls and whether the subject is left-handed or right-handed. The study is reported in "Hemispheric Dominance and Cell Phone Use," by Seidman et al., JAMA Otolaryngology-Head & Neck Surgery, Vol. 139, No. 5. The study began with a survey e-mailed to 5000

In Exercises 9-20, identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster. Cormorant Density Cormorant bird population densities were studied by using the "line transect method" with aircraft observers flying along the shoreline of Lake Huron and collecting sample data at intervals of every 20 km

Critical Thinking: What's Wrong? In Exercises 21-28, determine whether the study is an experiment or an observational study, and then identify a major problem with the study. School Suspensions The Children's Defense Fund reported that among secondary school students suspended in one region, 67% were suspended at least three times. That statistic

In Exercises 5-8, identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are based on real data from Appendix B. Age (yr) of Best Actor When Oscar Was Won 20-29 30-39 40-49 50-59 60-69 70-79 Frequency 1 29 38

A manufacturing company produces a metal rod. Use the Excel output shown here to describe the weight of the rod. Interpret the probability values in terms of the manufacturing process. Normal Distribution Mean 227 mg Standard Deviation 2.3 mg x Value Probability

In Exercises 5-8, identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are based on real data from Appendix B. Blood Platelet Count of Males 0-99 100-199 200-299 300-399 400-499 500-599 600-699 Frequency 1

Normal Distributions. In Exercises 9-12, using a loose interpretation of the criteria for determining whether a frequency distribution is aproximately a normal distribution, determine whether the given frequency distribution is aproximately a normal distribution. Give a brief explanation. Blood Platelet Count of Females 100-199 200-299 300-399

A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 3, 14, 16, 5, and 3 = respectively. Using percentages, what are the relative frequencies of the five classes? Complete the table. Grade A B C D F Frequency 3 14 16 5 3 Relative frequency ?% ?% ?% ?% ?% (Round to two decimal places as needed.)

Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. Age (yr) when award was won 2534 3544 4554 5564 6574 7584 8594 Identify the lower class limits. 0.0.0.0.0.0.0 (Type integers or decimals. Do

The accompanying data set lists diastolic blood pressure measurements (mm Hg) of females. All of the values are even numbers. Construct a stemplot. Identify the two values that are closest to the middle when the data are sorted in order from lowest to highest. (These values are often used to find the median.) 66 76 76 60 72 90 82 66 72 68 68 66 78

Cumulative Frequency Distributions. In Exercises 25 and 26, construct the cumulative frequency distribution that corresponds to the frequency distribution in the exercise indicated. Exercise 5"(Age of Best Actress When Oscar Was Won) Exercise 6 (Age of Best Actor When Oscar Was Won)

Categorical Data. In Exercises 27 and 28, se the given categorical data to construct the relative frequency distribution. Software Piracy Here are the countries with the five highest estimated costs of software piracy: United States ($9.1 billion), China ($8.7 billion), India ($2.7 billion), France ($2.1 billion), United Kingdom ($1.9 billion).

A group of researchers has devised a stress questionnaire consisting of 15 life events. They are interested in determining whether there is cross-cultural agreement on the relative amount of adjustment each event entails. The questionnaire is given to 300 Americans and 300 Italians. Each individual is instructed to use the event of marriage as the

Assignment X P 22 Basic Skills and Concepts X P Cover nxlhedcourse7845167productsBRNTHQ714K11KUpagesa6fbb290671511ec986c8b3661945d38localekey36591250714334... New Mexicos Fla... canvas P bio textbook ALEKS Dezirae... Google Docs 2 Exploring Data with Tables and Graphs Minitabgenerated histogram, which depicts the weights (grams) of all quarters

Freshman 15 Use the frequency distribution from Exercise 19 in Section 2-1 to construct a histogram. Does the histogram appear to depict a normal distribution?

Phase 1(4marks) In the first phase of the project: 1.Identify teammembers (Maximum fiveareallowed) 2.Create your account on kaggle.com 3.Explore various datasets available over kaggle.com 4.Select a problem in which you want to work on. 5.Download the datasetand select any four columns from the dataset andperform data cleansing steps if

Phase 1 Explore various datasets available over kaggle.com Select a problem in which you want to work on. Download the dataset and select any four columns from the dataset and perform data cleansing steps if required. Phase 2 In

Phase 1 (4 marks) In the first phase of the project: Identify team members (Maximum five are allowed) Create your account on kaggle.com Explore various datasets available over kaggle.com Select a problem in which you want to work on. Download the dataset and select any four columns from

ANSWER ALL THIS Phase 1 Create your account on kaggle.com Explore various datasets available over kaggle.com Select a problem in which you want to work on. Download the dataset and select any four columns from the dataset and perform data cleansing steps if required. Phase 2

How do the frequency distributions compare? Daily Commute Time in Los Angeles (minutes) 0-14 15-29 30-44 45-59 60-74 75-89 90-104 Frequency 6 18 14 5 5 1 1 Los Angeles Commute Time (minutes) 0-14 15-29 30-44 45-59 60-74 75-89 90-104 105-119 120-134 135-149 Frequency 157 324 282 103 98 7 18 0 0 11

How do the frequency distributions compare? Daily Commute Time in Boston (minutes) 0-29 30-59 60-89 90-119 120-149 Frequency 468 422 92 10 8 Dallas Commute Time (minutes) 0- 29 30- 59 60- 89 90- 119 120- 149 150-179 Frequency 547 339 92 15 0 7

Does the frequency distribution appear to be a normal distribution? Systolic Blood Pressure 80-99 100-119 120-139 140-159 160-179 180-199 Frequency 11 116 131 34 7 1

Does the frequency distribution appear to be a normal distribution? Diastolic Blood Pressure 40-54 55-69 70-84 85-99 100-114 Frequency 27 107 133 31 2

Does the frequency distribution appear to be a normal distribution? Earthquake Magnitudes 1-1.49 1.5-1.99 2-2.49 2.5-2.99 3-3.49 3.5-3.99 4-4.49 4.5-4.99 Frequency 19 97 187 147 100 38 8 4

State a generalization about the effect of the outlier on the histogram. Describe the effect of the outlier on the distribution, center , or spread of the data

General Direction Copy and answer each problems. 1. The approximate costs for a 30second spot for various cable networks in a random selection of cities are shown below. Estimate the true population mean cost for a 30second advertisement on cable network with 90 confidence. Was the interval estimate accurate if the true population mean cost for a

A random sample of 83 reconstructed clay vessels from the Turquoise Ridge archaeological site indicated the standard deviation of diameters to be approximately 5.5 cm. How many more such clay vessels must be found and reconstructed to be 95% sure that the sample mean of diameters is within 1 cm of the population mean of all such reconstructed clay

The manager of the greeting card section of Harveys department store is considering her order for a particular line of holiday cards. The cost of each box of cards is $3 each box will be sold for $5 during the holiday season. After the holiday season, the cards will be sold for $2 a box. The card section manager believes that all leftover cards

Submit 1 2 1 of 2 Question 1 Question 1 Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. A bank categorizes its customers into one of three groups based on their banking habits. A random sample of 30

The force F on object falling through a viscous medium bubble is dependent on the viscosity of the fluid of the material, the radius r of the object and terminal velocity V of the object. Use dimensional analysis to find the nature of dependence. Assume F=KxryVz . Find x,y,z .

A student in Singapore wants to apply to a business school in Singapore. Suppose there are 5 private and 3 public business schools in the city. She wants to select two schools from each sector. a. How many different choices can the student make? b. One of the private schools and one of the public schools have underperformed. If the student selects

Exactly 20 years ago, the mean age of a group of boys was 15.7 years and the sum of the squares of their ages was 16000. If the sum of the squares of their ages has increased by 8224 in this 20-year period, find the number of boys in the group.

How do we find the probability of a Beta Binomial distribution in Python using statsmodels library?

Write the formulas for Mean and Variance of a random variable Z if Z=aX+bY and Z is a function of X and Y respectively and they are both random variables.

A student in Singapore wants to apply to a business school in Singapore. Suppose there are 5 private and 3 public business schools in the city. She wants to select two schools from each sector. a. How many different choices can the student make? b. One of the private schools and one of the public schools have underperformed. If the student selects

Moths got into her yarn. Grandmother Jones is left with 6 colors of thick yarn and 8 colors of thin yarn. Whatre the odds that you can correctly guess the four colors of thin yarn that she used in her latest project in the order that she used them?

How accurate is the claim of the probability of success for EndRuns GIP? In what ways is the claim misleading?

10.19 A study was made to compare the costs of supporting a family of four Americans for a year in different foreign cities. The lifestyle of living in the United States on an annual income of 75,000 was the standard against which living in foreign cities was compared. A comparable living standard in Toronto and Mexico City was attained for about

In the 1910 article The Probability Variations in the Distribution of Particles (Philosophical Magazine, Series 6, No. 20, pp. 698707), E. Rutherford and H. Geiger described the results of experiments with polonium. The experiments indicate that the number of (alpha) particles that reach a small screen during an 8-minute interval has a Poisson

In a random sample of 10 adults from the united states, the mean waste generated per person per day was 4.50 pounds and the same standard deviation was 1.21 pounds.

You work for a regional healthcare system and have been recently promoted into an executive position in which you have some administrative and financial responsibilities over additional departments including an outpatient surgery center.As part of your onboarding and assessment of the new surgery center, youve discovered that few analytics on the

Gender Female Male 55 45

Steele Breakfast Foods, Inc. produces a popular brand of raisin bran cereal. The package indicates it contains 25.0 ounces of cereal. To ensure the product quality, the Steele Inspection Department makes hourly checks on the production process. As a part of the hourly check, 4 boxes are selected and their contents weighed. The results are reported

Movies Tonight is a typical video and DVD movie rental outlet for home-viewing customers. During the weeknight evenings, customers arrive at Movies Tonight with an arrival rate of 1.25 customers per minute. The checkout clerk has a service rate of 2 customers per minute. Assume Poisson arrivals and exponential service times. What is the average

Toy plc break even analysis.25000 per toy,variable cos 6500 per toy

The maintenance staff of a large office building regularly replaces fluorescent ceiling lights that have gone out. During a visit to a typical floor, the staff may have to replace several lights. The manager of this staff has given the following probabilities to the number of lights (identified by the random variable Y) that need to be replaced on

The production department for an aluminum valve plant is scheduling its work for next month. Each valve must go through three separate machines during the fabrication process. After fabrication, each valve is inspected by a human being, who spends 15 minutes per valve. There are 525 inspection hours available for the month. The time required (in

During any period, a potential customer arrives at a certain facility at a probability 1/2. If there are already two people at the facility (including the one being served), the potential customer leaves thee facility immediately and never returns. However, if there is one person or less, he enters the facility and becomes an actual customer. The

A student earned grades of A, C, B, A, and D. Those courses had these corresponding numbers of credit hours: 5, 3, 4, 3, and 2. The grading system assigns quality points to letter grades as follows: A = 4; B= 3; C = 2; D= 1; F = 0. Compute the grade-point average (GPA). If the dean's list requires a GPA of 3.20 or greater, did this student make

A random sample of 10 subjects have weights with a standard deviation of 10.8148 kg. What is the variance of their weights? Be sure to include the appropriate units with the result.

Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 84 18 34 3 53 37 87 69 55 20 67

Listed below are measured amounts of caffeine (mg per 12oz of drink) obtained in one can from each of 14 brands. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are the statistics representative of the population of all cans of the same 14 brands consumed? 34 57 40 57 30 32 48

Listed below are pulse rates (beats per minute) from samples of adult males and females. Does there appear to be a difference? Find the coefficient of variation for each of the two samples; then compare the variation. Male 86 71 63 68 68 50 62 53 83 69 60 60 99 58 66 Female 64 82 81 68 72 83 87 85 87 88 90 69 87 80 77 The coefficient of variation

Escobar et al. (A-3) performed a study to validate a translated version of the Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC) questionnaire used with Spanish-speaking patients with hip or knee osteoarthritis. For the 76 women classified with severe hip pain, the WOMAC mean function score (on a scale from 0 to 100 with a

Pulse Rates. Among a sample of 1037 adult women, pulse rates are normally distributed with a mean of 74.0 beats per minute, but 75% of the women have pulse rates greater than 74.0 beats per minute.

1. Fitting a straight line to a set of data yields the following prediction line: Yi = 16 - 0.5Xi a. Interpret the meaning of the Y intercept, b0. b. Interpret the meaning of the slope, b1. c. Predict the value of Y for X = 6.

According to a 2018 Pew Research Center report on social media use, 28% of American adults use Instagram. Suppose a sample of 150 American adults is randomly selected. We are interested in finding the probability that the proportion of the sample who use Instagram is greater than 30%. a. Without doing any calculations, determine whether this

Tabitha, Jack and Khadija each took part in a quiz and the ratio of their scores was 3: 5:12. The mean of their scores was 360. What was Tabitha's score?

Question 1 Consider the following optimal simplex tableau of a maximization problem of total profit () with constraints and main decision variables x1, x2. Basic Z x1 x2 X3 x4 x5 Right Side Z 1 0 0 2 0 x1 0 1 0 27 0 37 127 X4 0 217 1 37 377 x2 0 0 Y 17 0 27 207 Part a) List the optimal solution for decision variables. Identify special cases if

Construct box plots and dotscale diagrams for each of the variables in the data set Ohio Education Performance. What conclusions can you draw from them? Are any possible outliers evident? Question about data analysis, statistics.

Given that the second light is yellow, find the probability that the first light is red.

Hello, I worked with you before. Are you able to complete this work? Let me know, I have attached the directions in case this copy and paste doesn't look good. Please follow the following steps and in accordance with the due dates. 1. Find Some Data You are encouraged to find a data source on your own, via internet searches, data from your job,

A manufacturing company produces plastic bottles for the dairy industry. Some of the bottles are rejected because of poor quality. Causes of poor-quality bottles include faulty plastic, incorrect labeling, discolouration, incorrect thickness, broken handle, and others. The following data for 500 plastic bottles that were rejected include the

Studies have shown that tired children have trouble learning because neurons become incapable of forming new synaptic connections that are necessary to encode memory. The problem is that the school day starts too early. Awakened at dawn, teenage brains are still releasing melatonin, which makes them sleepy. Several years ago, Edina, Minnesota,

Give the 5 steps of hypothesis testing. Ensure to explain them very well.