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 53.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.3 milligrams. At α=0.08, 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 random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 53.4 milligrams. Assume the population is normally distributed anpopulation standard deviation6.3 milligrams. At a = 0.08, can you reject the company's claim? Complete parts (a) through (e).(a) Identify Ho and H3. Choose the correct answer below.O A. Ho: µ= 53.4H3: u# 53.4O B. Ho: H= 55Hạ: H# 55ОС. Но: рs 53.4O D. Ho: Hs 55H3: u> 55Ha: u> 53.4Ο Ε. H : μ# 55OF. Ho: H# 53.4Hạ: µ= 55Ha: u= 53.4(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 isO B. The critical values are +Identify the rejection region(s). Choose the correct answer below.O A.OB.OC.Fail to reject Ho-Fail to reject HoFail to reject Ho-Reject Ho-Reject HoReject Ho.Reject Hn-(c) Find the standardized test statistic.z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis.O A. Since z is not in the rejection region, fail to reject the null hypothesis.O B. Since z is not in the rejection region, reject the null hypothesis.OC. Since z is in the rejection region, reject the null hypothesis.O 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 8% significance level, thereenough evidence tothe company's claim that the mean caffeine content per 12-ounce bottle of colamilligrams.

Name: A company that makes cola drinks states that the mean caffeine content
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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

Solution: a. The given claim is that the mean caffeine content per 12-ounce bottle of cola is 55…

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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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 53.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.3 milligrams. At α=0.08, can you reject the company's claim? Complete parts (a) through (e).

(d) Decide whether to reject or fail to reject the null hypothesis.
O A. Since z is not in the rejection region, fail to reject the null hypothesis.
O B. Since z is not in the rejection region, reject the null hypothesis.
OC. Since z is in the rejection region, reject the null hypothesis.
O 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 8% significance level, there
enough evidence to
the company's claim that the mean caffeine content per 12-ounce bottle of cola
milligrams.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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