The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minutes. We want to see if we can find significant evidence to prove that the mean waiting time of all customers is significantly more than 3 minutes. The test statistic is 2. What is the p-value? Round your answer to three decimal places.

Question

Corbin Vaughan

Mathematics

30 July, 10:20

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minutes. We want to see if we can find significant evidence to prove that the mean waiting time of all customers is significantly more than 3 minutes. The test statistic is 2. What is the p-value? Round your answer to three decimal places.

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Answers (1)

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Darian Roach · Answer 1

Answer: The critical value is: insufficient.

Step-by-step explanation: Refer to Exhibit 9-2. The p-value is:

a ...0500

b ...0228

c ...0456

d ...0250

In order to test the hypotheses H0: μ ≤ 100 and Ha: μ > 100 at an α level of significance, the null hypothesis will be rejected if the test statistic z is:

The practice of concluding "do not reject H0" is preferred over "accept H0" when we:

a. have an insufficient sample size.

b. have not controlled for the Type II error.

c. are testing the validity of a claim.

d. are conducting a one-tailed test.

In hypothesis testing, the critical value is: insufficient