A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 56.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.4 milligrams. At α=0.01, can you reject the company's claim? Complete parts (a) through (e). A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a randomsample of thirty 12-ounce bottles of cola has a mean caffeine content of 56.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.4milligrams. At = 0.01, can you reject the company's claim? Complete parts (a) through (e).(a) Identify Ho and Ha. Choose the correct answer below.Ο Α. HΟ: μ= 55Hai µ#55О В. Но: и 356.4Ha: µ#56.4о с. Но: и2 56.4Ha:µ< 56.4O D. Ho: µ+55Ha:µ= 55E. Ho: μ25Hai H< 55O F. Но: и#56.4Ha: H= 56.4(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.)O A. The critical value isR. The critical values are ±Identify the rejection region(s). Choose the correct answer below.OA.O B.С.Fail to reject Ho-Fail to reject Ho -Fail to reject Ho -Reject Ho,Reject Ho.Reject Ho.Reject Ho,-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.A. Since z is not in the rejection region, reject the null hypothesis.B. Since z is in the rejection region, reject the null hypothesis.C. Since z is not in the rejection region, fail to reject the null hypothesis.D. Since z is in the rejection region, fail to reject the null hypothesis.(e) Interpret the decision in the context of the original claim.At the 1% significance level, thereenough evidence tothe company's claim that the mean caffeine content per 12-ounce bottle of colamilligrams.

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Description: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffei

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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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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 56.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.4 milligrams. At α=0.01, can you reject the company's claim? Complete parts (a) through (e).

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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