A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ouncebottles of cola has a mean caffeine content of 44.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.2 milligrams. At a = 0.02, can you reject the company's claim?Complete parts (a) through (e).(a) Identify Ho and Ha. Choose the correct answer below.OA. Ho: ≤44.4Ha: >44.4OC. Ho: μ≤45Ha:μ>45O E. Ho: μ#44.4Ha: H=44.4(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.(Round to two decimal places as needed.)OA. The critical value isOB. The critical values are +Identify the rejection region(s). Choose the correct answer below.OA.Fail to reject Ho-Reject HotHo.RejectOB.Fail to reject Ho. QReject HoOB. Ho: H=45Ha:μ#45O D. Ho: H=44.4Ha:μ#44.4OF. Ho: H#45Ha: H=45O C.Fail to reject Ho.Reject Ho A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ouncebottles of cola has a mean caffeine content of 44.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.2 milligrams. At a=0.02, can you reject the company's claim?Complete parts (a) through (e).OA.Fail to reject Ho-AReject Ho Reject Ho-0-4(c) Find the standardized test statistic.(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.O B.Fail to reject Ho.Reject HoOA. Since z is not in the rejection region, fail to reject the null hypothesis.OB. Since z is in the rejection region, fail to reject the null hypothesis.OC. Since z is not in the rejection region, reject the null hypothesis.O D. Since z is in the rejection region, reject the null hypothesis.(e) Interpret the decision in the context of the original claim.At the 2% significance level, thereenough evidence toQQGOC.Fail to reject Ho-Reject HoAthe company's claim that the mean caffeine content per 12-ounce bottle of colaQQ▼milligrams.

Answered: A company that makes cola drinks states…

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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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 45 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.3 feet. At a= 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? ASsume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table, Click here to view page 2 of the standard normal distribution table. 19.82 of 24 pts Question Help v O (a) Identify the claim and state Ho and H What is the claim? O A. The mean braking distance is greater for Make A automobiles than Make Bautomobiles. O B. The mean braking distance is…
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