Let x be a random variable that represents the pH of CVS brand water. The mean of this x distribution is u = 6.5 pH. A new company wants to sell its water at CVS locations. However, CVS management believes that the new brand will have a mean pH different from the CVS brand water. A random sample of 70 water samples were taken from this new company's water and it was found that the sample mean was 7.2 pH and the sample standard deviation was s = 2.5 pH. Do the data indicate that the new company's water has a mean pH level greater than 6.5, which is the pH of the CVS brand water? Use a 5% significance level. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypothesis H1 for the problem. 2. Identify and test statistic, the p-value and the calculator key used. Test Statistic (t): (Round to three decimal places) = p - value: (Round to four places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho? 4. State your conclusion.
Let x be a random variable that represents the pH of CVS brand water. The mean of this x distribution is u = 6.5 pH. A new company wants to sell its water at CVS locations. However, CVS management believes that the new brand will have a mean pH different from the CVS brand water. A random sample of 70 water samples were taken from this new company's water and it was found that the sample mean was 7.2 pH and the sample standard deviation was s = 2.5 pH. Do the data indicate that the new company's water has a mean pH level greater than 6.5, which is the pH of the CVS brand water? Use a 5% significance level. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypothesis H1 for the problem. 2. Identify and test statistic, the p-value and the calculator key used. Test Statistic (t): (Round to three decimal places) = p - value: (Round to four places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho? 4. State your conclusion.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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