8-A researcher claims that the average cost of men's athletic shoes is less than $80He selects a random sample of 36 pairs of shoes from a catalog and finds the following costs (in dollars)The cost has been rounded to the nearest dollar. Is there enough evidence to support the research'sclaim a= 0.10, standard deviation 19.2 and sample means 75, Traditional Method?class(a)Identify the null and alternative hypotheses for this test.(b)What is the C.V number?(c)Identify the test statistic for this hypothesis test(d)Decision. Accept or reject.

Sample size n =36 Sample mean=75 Population standard deviation =19.2

Answered: 8-A researcher claims that the average…

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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3. A college professor suspects that students at his school are getting less than 8 hours of sleep a night, on average. To test his belief, the professor asks a random sample of 31 students, "How much sleep did you get last night?". His results had a mean of 7.6 hours and standard deviation of 1.52 hours. Do these data provide convincing evidence at the a = 0.01 significance level in support of the professor's suspicion? (5 points)
4. You are hired by the U.S. treasury to determine whether a batch of 5 quarters is counterfeit. Assume you are told that a standard U.S. quarter has a weight that is normally distributed with mean 5.67 grams and standard deviation 0.02 grams. Assume that the weight of counterfeit coins has a distribution with unknown mean and standard deviation. (a) What type of hypothesis test should you use to determine whether the quarters are counterfeit? Be specific. Write down a null and alternative hypothesis for your test. (b) Determine a rejection region for your test at a significance level of alpha = 0.01. (c) Assume you measure the weights of the 5 quarters to be 5.68, 5.65, 5.64, 5.63, and 5.61 respectively. What is the value of your test statistic, and what is its p-value? (d) What inference can you make about the null hypothesis at the alpha = 0.01 significance level?
New York State claims that the average cost for gasoline is less than $2.60 per gallon.You think this information is incorrect, so you travel to 41 different gas stations and findthat the mean cost of gas is $2.57 per gallon. Assume the population standard deviationis $0.25 per gallon. Is there enough evidence to support the claim for ? = 0.01? Be sureto identify the null and alternative hypotheses.
4
Jane has just begun her new job in the sales force of a very competitive company. In a sample of 36 sales calls it was found that she closed the contract for an average value of 97.08 dollars with a standard deviation of 18.24 dollars. What is the test statistic to test the hypothesis that the population mean is at least 107.64 dollars against the alternative that the population mean is less than 107.64 dollars?
i want to make sure
I am most confused on how to know if you use less than or greater than for the alternative hypothesis??
A city council is deciding whether or not to spend additional money to reduce the amount of traffic. The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 18 minutes. It decides to collect sample data a hypothesis test of the wait times. Waiting times were recorded for a sample of 28 main roads and the sample mean and sample standard deviation were computed. The sample statistics were used to compute a test statistic of 1.59. (a) Give the p-value (Round to three decimal places.) (b) State whether or not the city should increase its transportation budget, at the 5% significance level. Explain briefly.
Based on the information from the U.S census bureau the mean travel time to work in minutes for all workers 16 years old and older was 27.5 minutes. A large company with offices in several states randomly sample 85 of its workers to ascertain their commuting times. The sample mean was 23.6 minutes,and the population standard deviation is 5.41 minutes. At the 0.05 level of signifance can it be concluded that the mean commuting time is less for this particular company
A scientist wants to know if the average weight of a particular species of fish is different from 500 grams. He collects a sample of 15 fish and finds that their average weight is 490 grams with a standard deviation of 20 grams. Can he reject the null hypothesis that the true average weight of the fish is 500 grams, using a one sample t-test with a significance level of 0.05?

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