On a television show, eight contestants try to lose the highest percentage of weight in order to win a cash prize. As part of the show, the contestants are timed as they run an obstacle course. The table shows the times (in seconds) of thecontestants at the beginning of the season and at the end of the season. At a=0.01, is there enough evidence to support the claim that the contestants' times have changed? Assume the samples are random and dependent, and the populationis nomally distributed. Complete parts (a) through (e) below.ContestantTime (beginning)Time (end)46 7 8 o5127.8 139.2 116.5 108.4 107.5 142.5 106.9 123.7127.6 139,4 116.2 107.9 107.4 142.9 106.6 123,523(b) Find the critical value(s) and identify the rejection region(s).Select the corect choice below and fill in any answer boxes to complete your choice.(Round to three decimal places as needed.)O A. t>B. t<-3.500 or t> 3.500O C. <(c) Calculate d and sa-d= 0.125 (Round to three decimal places as needed.)Calculate s4Sg = 0.292 (Round to three decimal places as needed.)(d) Find the standardized test statistic t.t= 1.211 (Round to three decimal places as needed.)(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.V the null hypothesis. ThereV enough evidence toV the claim that the contestants' times have

For the given data ( e) Write the conclusion

Answered: (e) Decide whether to reject or fail to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Which set of numbers would correspond to a hypothesis test with the greatest power? Cohen's d = 0.6 & n = 500 O Cohen's d = 0.6 & n = 50 O Cohen's d = 0.5 & n = 50 O Cohen's d = 0.5 & n = 500
A type Il error A. arises when the false null hypothesis is not rejected. O B. is the rejection of a false null hypothesis. C. arises when the true null hypothesis is not rejected. D. is the rejection of a true null hypothesis.
A survey found that 55% of college professors believe that their online education courses are as good as or superior to courses that use traditional face-to-face instruction. Give the null hypothesis for testing the claim made by the survey. ... Ho: p (Type an integer or a decimal.)
When a new drug is created, the drug company must test it before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is "the drug it's not safe." What is a type II error? explain clearly a. Concluding that the drug is safe when, in fact, it is not. b. Not concluding that the drug is safe when, in fact, it is. c. Concluding that the drug is safe when, in fact, it is. d. Not concluding that the drug is not safe when, in fact, it is not.
In most judicial systems, a defendant is innocent until proven guilty. An attorney defends the null hypothesis that his client, the defendant, is innocent. From the judge’s point of view, what are the implications of making the following types of errors? A Type I error A Type II error
I. M. Schurr claims that students enjoy online classes more than professors. In order to test his claim, Schurr takes a sample of 60 students and determines 80% of the students enjoy online classes. For a sample of 40 professors, Schurr finds that 55% of the professors enjoy online classes. Do the data support Schurr’s claim that students enjoy online classes more than professors? a. State the null and alternative hypothesis that would be used to test whether students enjoy online classes more than professors.b. What is the appropriate test statistic?c. Determine the critical value(s) for this test using a 1% significance level.d. Calculate the value of the test statistic.e. What is your decision and conclusion?
Suppose a storeowner assumes that all his employees are honest; however, shortages in the cash received have been frequent in the past weeks. There is a possibility that one of the employees take the extra cash. The owner does not know whether to accuse or just let the situation pass since the shortage could be due accidental tendering of incorrect change to customers. a. State the null and alternative hypothesis in words. b. Describe the Type I or II error. c. Which do you think is the most serious error? Explain.
How do you write a null hypothesis and an alternative hypothesis in words? This is the question: The survey question: On the average day, about how many hours do you personally watch television? Suppose that your reading of professional research on the topic leads to the hypothesis that, on average, adults in the US watch three hours of TV each day. I planned to use a two-sided alternative hypothesis. In symbol, my null hypothesis would be H0 : equal 3 and my alternative hypothesis would be Ha not equal 3
A study found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the study? Will you reject the null hypothesis or not?
A credit card company claims that the mean credit card debt for individuals is greater than $5,100. You want to test this claim. You find that a random sample of 32 cardholders has a mean credit card balance of $5,242 and a standard deviation of $575. At a = 0.01, can you support the claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and H2. Which of the following correctly states H, and H,? O A. Ho: µ> $5,100 Ha: us $5,100 В. Но: и- $5,100 Hai µ > $5,100 С. Но: 3 $5,100 Ha: u# $5,100 O D. Ho: µ2 $5,100 Ha:u $5,100 Ha: us $5,100 Ο F H0: μS $5,1 00 Ha: µ > $5,100 (b) Find the critical value and identify the rejection region. What is the critical value, to? to = 0 (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region. Select the correct choice below and fill in the ansswer box within your choice. (Round to three decimal places as…
A stock price is currently $40. It is known that at the end of 1 year it will be either $48or $32. The risk-free Interest rate is 5% per annum with continuous compounding. What is the value of a portfolio today with a strike price of $527 (use A-0.25) Hint: draw a tree

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(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. the null hypothesis. There Venough evidence to V the claim that the contestants' times have