Mathematics Questions and Answers September 30, 2020

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes with a standard deviation of 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.The p -value is

Hi There, Could anyone please help me to with Q2 and Q5 in the assignment. Please find the link of data set and question in the link as well. Thanks in advance Please find the below data set and question in the comment

Question 9: (Conditional probability) In a class, 45% of the students are studying Artificial Intelligence (AI) and Machine Learning (ML), 55% of the students are studying AI. What is the probability of a student studying ML given that she/he is already studying AI

Suppose you test the hypotheses H 0 : p=0.60 and H A : p0.60.If your sample proportion is 0.75 and your p-value is 0.021, what can you say about the 99% confidence interval constructed using the same data? NBA player heights are normally distributed with a mean of 78 inches and a standard deviation of 4.5 inches.A player is 63 inches tall.What

Show all work 3- A car salesman is working on inventory, and he wants to record the make of each of his cars. To save space in his database he decides to code \"Domestic Made\" as 0 and \"Foreign Made" as 1. This variable is: (1-5 pm) numerical. categorical- quantitatively categorical. mof the answers are meet any

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28 and 25. Show all work and calculations. What is the minimum? What is the first quartile? What is the median? What is the third quartile? What is the maximum? Create the box plot for the data in #6. Label the five points on the box.

Need help please in this homework Chapter 3 Quiz Started: Apr 28 at 9:31am Quiz Instructions Sections 2-9 D Question 1 1 pts Let X be a random variable with cdf 0, x 30) (round off to second decimal place). D Question 7 1 pts The pdf of X is f (x) = 0.1,3 9). D Question 8 1 pts Let X be a random variable with pdf f (x) = 4e-x , x 20. Find P(0.5 z)

Para muestras dependientes, podemos asumir que la distribucin de las diferencias en la poblacin tiene una media de 30 0 25 Ninguna de las anteriores

The cost of all maintenance a car during its first year is approximately exponentially distributed with a mean of $250. Answer the following questions and your work a. Find f(x) b. Find the 6oth percentile

2. What is a between-subjects variable? How is it different than a within-subjects factor? What are some assumptions of between-subjects analysis of variance? [Chapter 15, Section 3] (5 pts)

A random sample of 16 pharmacy customers showed the waiting times below (in minutes). 26162518172418231420101819131716 Click here for the Excel Data File Find a 90 percent confidence interval for , assuming that the sample is from a normal population. (Round your standard deviation answer to 4 decimal places and t-value to 3 decimal places. Round

Si z es una variable normal estndar, encuentre la probabilidad. La probabilidad que z es mayor que -1.82 0.4656 0.9656 -0.0344 0.0344

1 point Which grows at the fastest rate? 4y3/2 9x2 OOOO ,2-3x-9 e

1 point Which grows at the fastes 0 9x2

A study claims that half of Statopian have Fire ability. A sample of size 100 Statopian and observe 37 of them have fire ability. Based on the sample result, is there sufficient evidence to show that the less than half of the population has Fire ability (as study's claim) at 0.05 significance level? What is decision rule for using critical value

In how many ways can we rearrange the letters in "MATH IS FUN" (a) with no restrictions? (b) if the first and last letter must be a vowel? PLEASE SHOW THE COMPLETE SOLUTION. THANK YOU

Given that P(B|A)=0.77 and P(A)=0.42, what is P(BANDA)? Round to three decimal places.

Find the probability that the proportion of individuals in the sample of 32 who have high blood pressure is between 0.25 and 0.33. The probability that the proportion of individuals in the sample of 82 who have high blood pressure is between 0.26 and 0.33 is D

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally

Using a sample to make generalizations about an aspect of population is called.. a. data mining b. descriptive statistics c. random sampling d. statistical inference

Let X1,X2, be a sequence of independent random variables with E(Xi) = p and Var(Xi) = 01-2. Show that if- L1 01-2 > 0, then in > y in probability

You are told that X is a normally distributed random variable with mean 47 and standard deviation 6.A random sample of size 30 is taken, and the mean was found to be 61 with a standard deviation of 15.Give the value that represents the population mean.

Question 2 2 pts A researcher rejected the null where r(146) = .148, p = .03 and concluded that the effect size was O Small O Medium O Large O Very Large O Extremely Large

11 11. (2 points) A research report presents the results of an independent-measures ANOVA as follows: F(3, 28) = 5.36, p

The histogram of a quantitative variable is positively skewed. The mean of the variable is 35. Which one of the following is a more likely value of the median? 55 30 35 Support your answer.

Verify that the conclusion of Clairaut's theorem holds, that is, u = U xy X With U = X " we have the following. X S XY = Y LI FX Since U xy = U Clairaut's theorem holds for u = xy

Find the indicated partial derivatives. WE V + 52 W azdyox aw axzay

Find the indicated partial derivatives. Y 5z azam Bx2 By

Month Average degree, C Jan -3,2 Feb -3,7 Mar -0,2 Apr 5,7 May 11,4 Jun 14,8 Jul 17,4 Aug 16,5 Sep 11,7 Oct 6.9 Nov 1,6 Dec -2,0

Use the squeeze theorem to find the limit. lim 1 xy sin (x, v) - (0, 0) 2 2

Use the squeeze theorem to find the limit. lim xy sin

The weights of a random sample of containers that are supposed to weigh 100 grams are listed below. 105.2 103.5 99.1. 97.8 98.6 100.3 101.2 96.0 The sample statistics are: = 100.213, = 3.025 Can we infer, at the 5% significance level, that the variance of container weights is greater than 7? Assume the required conditions are satisfied. Complete

A detailed asset register and depreciation schedule which includes property, plant and equipment from fixed asset transaction

I. What proportion of small offices are in Sydney based on the data for the entire population of small office locations? (2 marks)

Statistics question Question1 a) Find arithmetic mean and mode for the following frequency distribution. (Marks 10) C.I F 2-4 2 5-7 8 8-10 12 11-13 4 14-16 2 b) Given that event A and B are mutually exclusive events such that P(A) =0.3. P(B)=0.6 Find (AUB)

Complete the following ANOVA summary table by filling in the missing information. Do we accept or reject the null at p=.05? Source df SS MS F Between 80 20 Within Total 29 180

11 11. (2 points) A research report presents the results of an independent-measures ANOVA as follows: F(3, 28) = 5.36, p

In a survey, the planning value for the population proportion isp*=0.25. How large a sample should be taken to provide a95%confidence interval with a margin of error of0.1? Round your answer up to the next whole number.

The chance that both components of a two-stage rocket will function correctly is 0.95. The reliability of the first stage is 0.98. What is the reliability of the second stage?

Imagine you are writing exam questions for an algebra course. You want to write questions that include finding the zeros of polynomials. To balance the difficulty level of the test's questions, you decide to include two different types of questions, as described here: Question #1: A polynomial of degree at least 3 where all the zeros are positive

HELP ME PLEASE C. Choose 7 out of the 11 items D. Choose 8 out of the 11 items D. Suggested Enrichment/Reinforcement Activitylies My Learning Takeaway! Answer the following questions completely. 1. How do you differentiate the situations that involve permutation from those that involve combination? 2. Give 2 examples of situations in real life

I would appreciate help on this. Thanks a lot Let f(x) = (7x) m*. Find a simplified expression for f'(e)

6.(6pts) A clinical trial of 15 patients showed that improvement rates are approximately normal and have standard deviation s=2.57. Construct 95% confidence interval for standard deviation and viriance for this particular treatment

Let a, M E R. Calculate _exp{-ax2/2+ ux}dx. (Hint: recall that the PDF for a normal random variable Z ~ N(u, 02) is p(z) = (2702)-1/2 exp{-(z - u)2/(202)} and that J_ p(z)dz = 1.)

Half-unit correction problem X Is binomial with p = 0.005 and n = 1000 (X is the # of tails from 1000 tosses of a very unfair coin) Find: a E(X) Var(X) C P(X

How do I calculate Occupancy Rate, when: LotCapacity - 863 LotOccupancy - 174

Statistics question Question 2 Two dice are rolled once. Construct the Sample Space. What is the probability of getting a total of a) 9? b) 70r1

1 point Find the derivative of y=x arctanx y'= (1+x2) - tan 1x y'= (1+x

poin Find derivaive arctan , Fi.i

A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test to determine if the die is fair. The data in the table below are the result of the 120 rolls. Calculate the P-value. Round to four decimal places. Face Value Frequency Expected Frequency 15 ? 29 16 15 3O 15 ONU'I-h-OOMH

Bill Anderson purchased 1,000 shares of Microsoft Corporation stock for $24,900 at the beginning of 2009. At the end of the year, he sold all of his Microsoft shares at $32.24 a share. He also earned a dividend of $0.43 per share during the year. a. What is Bill's total return on the investment? (Round your answer to 2 decimal places.) b. What is

Figure 1 shows the piecewise function (1), (II) and (III) for cumulative distribution 10 function F(x) for continuous random variable. marks F(x) IIT II culp 0 N 6 T Figure 1 Construct the probability density function f(x). Should one of the piecewise function (III) is not constant, explain the changes

Statistical methods are classified into two major categories: descriptive and inferential. How can you describe the general purpose for the statistical methods in each category?

Fit the model y = Cl($) + 1 to the following data: 3; 5.140 5.300 5.460 6.640 7.830 7.030 Which of the following is the best possible error for ywhen 3:2.1 '? O 1.029? 0 0.5467 0 0.191? 0 0.4?23 0 0.11?8 0 0.318

If making a card game and If I have a deck of cards (54 with Jokers). What is the probability of selecting 5 (any combination) of these particular cards (10, Jack, Queen, King, Ace, Joker). Secondly, what are the odds in favor and odds-against?

Given that there is a 24% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?

The question is attached in the picture below. AUDITIONS The drama club held tryouts for 6 roles in a oneact play. Five people auditioned for lead female, 3 for lead male, 8 for the best friend, 4 for the mother, 2 for the father. and 3 for the humorous aunt. How many different casts can be created from those who auditioned

Need help with 2 math problems. View screenshots below for problems. Thanks for your help.

3. The prices paid for a particular model of a new car are normally distributed with a mean of Ksh. 3,500,000 and a standard deviation of Ksh. 150,000. Use the 68-95-99.7 Empirical Rule to find the percentage of buyers who paid i. Ksh. 3,050,000 and Ksh. 3,650,000 ii. Ksh. 3,200,000 and Ksh 3,350,000 (Guide: Give answers in 2 decimal points and

Question 45 0.25 pts A point estimate is a single number that is used as an estimate of a population parameter or population characteristic. It is usually derived from a random sample from the population of interest. O True False Next

Consider the same model given in the last question Patient ID Heart Disease Predicted Probability for Heart Disease Predicted Label 1001 0 0.34 0 1002 1 0.58 1 1003 1 0.79 1 1004 0 0.68 1 1005 0 0.21 0 1006 0 0.04 0 1007 1 0.48 0 1008 1 0.64 1 1009 0 0.61 1 1010 1 0.86 1

The manufacturing of semiconductor chips produces defective chips at a probability of 0.04. Assume the chips are independent and that a lot contains 1,032 chips. Approximate the probability that more than 30 chips are defective

8. A 25 foot ladder is leaning against a wall. The bottom of the ladder is initially 15 feet away from the wall, and is being pulled away from the wall at a rate of 0.5 ft./s. How fast is the top of the ladder sliding down the wall 3 seconds after we start pulling

A oenteur map of a function is shown. Use it to make a rough sketch of the graph of 1'. J' 1!! 3 5 1

I need help answering this question A loan of $9,657 was repaid at the end of 12 months. What size repayment check (principal and interest) was written, if a 10.9% annual rate of interest was charged? The amount of the repayment check was $ . (Round to two decimal places.)

How could you use the data on the home price to income ratio to help you make a decision about frow much to spend when you are looking to buy a home. G W

Suppose the p-value for a right-tailed test is .0245. a.What would be your conclusion at the .05 level of significance? b.What would the p-value have been if it were a two-tailed test?

Why does a house broker usually recommend her clients the median house price in a A.community but not average price? B. Linear model y = a + b * x + e, can you teach me how to specify the (median ) L1-regression for this model? C. How can I measure Management Quality for a stock-selection strategy? D. What is the major contribution of Stephen Ross

A tire manufacturer wants to estimate the average number of miles that may be driven in a tire of a certain type before the tire wears out. Assume the population is normally distributed. A random sample of tires is chosen and are driven until they wear out and the number of thousands of miles is recorded, find the 99% confidence interval using the

Questions 1. A coin is tossed indefinitely. Let ]0, 1]\{1/2} be the probability of obtaining heads at one toss. Let be the random variable equal to the number of heads less the number of tails in n tosses. We set 0 = 0. i. Show that is a simple random walk. ii. Compute ( = 0), depending on the parity of . iii. Let = |{ = 0} be the number of times

Find the standard z-score such that a probability of 0.528 is to the left of this value

Find the standard zscore such that a probability of 0.528 is to the left of this value.

For a population with mean 165.8 and standard deviation 50.06, what is the value of the standard deviation of the sampling distribution of the sample mean for samples of size 131? Please give your answer correctly rounded to two decimal places.

An ice cream shop has 20 flavors. You also have the choice of a sugar cone, waffle cone or cup. If a person orders two scoops of different flavor ice cream, how many possible orders are there, if you do not care about the order of flavors? Number of possible orders =

Question 47 0.25 If a store manager has recently stated that she estimates the mean amount spent per customer per visit to be between $38.75 and $72.23, the numbers $38.75 and $72.23 are considered point estimates for the true population mean. O True O False Next

Let the continuous random variable X denote the distance in micrometers from the start of a track on a magnetic disk until the first flaw. Historical data show that the distribution of X can be modeled by a pdf: f (x) =. 500 500 , X > 0 Find the CDF. OF(x) = 1 - e-300 OF(x) = e-500x OF(x) = e- 300 OF ( x) = ex

Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normallydistributed, with a mean of 102 pounds and a standard deviation of 37.1 pounds. Random

I need help answering this question The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rate r to the nearest tenth of a percent. P = $4600.00, A = $4686.25, t = 3 months . . .. . % (Round to the nearest tenth of a percent.)

The table shows the anneal compensation of 40 randomly chosen CEO (millions of dollars) 5.04 1.87 26.32 9.06 12.44 6.18 2.83 4.96 194.14 17.45 25.86 8.25 14.94 15.32 1.8 3.03 70.98 17.89 23.22 4.02 9.2 6.41 1.95 3.87 26.78 13.62 18.97 5.71 9.28 4.41 0.62 3.68 37.79 10.82 23.51 7.49 8.21 4.76 1.66 3.16 Identify any unusual values (round your answer

I would really appreciate help on this question, thanks!

Let f (x) 2M 3 In(x 8) for x 8. Find (f l) (18)

Thank you let me know A value such that at least 80% of the data are below and no more than 20% are above the value, is called O Lower Quartile O Median O Po O Upper Quartile O None of the above

If f(x, y) , find the following f(5, 1) (b) (c) (d) f(x, x)

The chief cashier has recorded that last eight weeks of clearing balances (a longer period is available, but we will use just eight weeks here). The 40 observations of daily check clearing are shown below

What could be the consequences of incorrectly assuming a causal relationship from the perspective of a physician/ a pharmacist/ a healthcare administration. Give an example for each case.

In a sample of n=9 lichenspecimens, the researchers found the mean and standard deviation of the amount of the radioactiveelement, cesium-137, that was present to be 0.009 and 0.005 microcurie permilliliter, respectively. Suppose the researchers want to increase the sample size in order to estimate the mean to within 0.001 microcurie per

The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Monthly Monthly Income Rent 24 7.0 16 4.5 19 6.5 31 11.6 10 4.5 27 8.5

Steve interviewed several musicians to be a part of his band. If he interviewed 2 guitarists, 5 drummers, and 7 vocalists, and the band consists of one guitarist, one drummer, and one vocalist, how many different bands can Steve create? Number of possible bands =

Find the limit. lim " y) - (2, 4 ) 2y3 - By2 )

Find the limit. lim (x2y3 8y2)

Hypotheses for population mean : H0:=10 HA:>10 Data and Statistics: Sample size: n = 425 Sample mean:x=10.7 Sample s.d.:s=5.65 p-value = . . .

How would decreasing a sample size for an SRS change the sampling distribution?

Please help with this question and show the work. To prepare for a new CDI program, an HIM manager must include 4 new Full-Time Equivalent coders, in the department labor budget. At an average salary of $25 per hour, non productive hours of $15%, and anticipated 50% productivity reduction due to ICD-10, what is the projected annual salary expense?

"What do you think is the ideal number of children for a family to have?" A Gallup Poll asked this question of 1020 randomly chosen adults. Slightly less than half (48%) thought that a total of two children was ideal.Suppose that p = 0.48 is exactly true for the population of all adults. What is the probability that a sample proportionpfalls

For the function f (a) = -x2 - 5x - 6, find the slope of the secant line between = -4 and x = -1

I'd like help with this question, thank you Consider the following function 624x 0 f (x ) = x = 0 1- - 7x 3.x - + x * 20 (a) What value of c would make f(x) right continuous at x = 0? (b) What value of c would make f(x) left continuous at x = 0

A computed X 2 value that is larger than thex 2 a/2value allows us to reject the null hypothesis that _______ is based on a _______ . a. sigma1=sigma2, small sample b. sigma=sigma0, small sample c. sigma=sigma0, large sample d. sigma1=sigma2, large sample

Justify your Answers please!! Thankyou 1. Which is the following is correct? a. The probability of a type I error is B. b. The probability of a type II error is (1 - B). C. The probability of a type II error is a. d. The probability of a type I error is (1 - a). e. none of the above 2. A random sample of 10 items is taken from a normal population.

Let v(t) = < 1/(t+1), 4t, 6 sin(3t) >. (a). Find an equation (vector or parametric) for the tangent line to this curve at t = 1. (b). Find an antiderivative r(t) to v(t) such that r(0) = < 0, 1, -3 >.

Let v(t) = < 1/(t+1), 4t, 6 sin(3t) >. (a). Find an equation (vector or parametric) for the tangent line to this curve at t = 1. (b). Find an antiderivative r(t) to v(t) such that r(0) = < 0, 1, -3 >.

IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. the middle 95 percent? [Remember, the middle 95 percent straddles the line perpendicular to the mean (or the 50th percentile), with half of 95 percent, or 47.5 percent, above this line and the remaining 47.5 percent below this line.] the middle

Question 4 Positive correlations mean two variables are associated and negative correlations mean two variables are not associated. O True False

In how many ways can a committee of three men and four women be formed from a group of 8 men and 8 women?

Justify your Answers please!! Thankyou 1. Which is the following is correct? a. The probability of a type I error is B. b. The probability of a type II error is (1 - B). C. The probability of a type II error is a. d. The probability of a type I error is (1 - a). e. none of the above 2. A random sample of 10 items is taken from a normal population.

here is a measury theory question with answer, I am quite new to this, I still can't comrpehend what the answer means. Please help explain with more details, a drawing will be much appreciated. thanks

Let Z be a standard normal random variable. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a)= P (Z > 1.93) = (b)= P (Z 1.65) = (c)= P ( 0.84 < Z < 2.04) =

You conduct a study in which you compare the effects of eating oatmeal daily on cholesterol levels in a group of 10 men (Nx=10) compared to a group of 10 women (Ny=10). Men's average cholesterol level was 100 [Mx= 136], and women's average cholesterol level was 120 [My= 120] after the study was completed. The standard deviation of the distribution