Using Excel when applicable and notes for me to use in the future is appreciated A Pizza Hut advertises that it will deliver your pizza in 35 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 35 minutes. For the simple random sample of 13 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 39.4 minutes with a standard deviation of 6.4 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.05 level of significance. a. Write the null and alternative hypotheses using the correct notation. b. Is the population standard deviation known or unknown in this problem? Give a reason to support your answer citing the specific wording in the problem that helped you decide. c. Is the rejection region in one-tail or two-tails? Give a specific reason to support your answer. d. Find the critical value that should be used for this problem. e. Calculate the test statistic. Round your answer to the third decimal place as needed.
Using Excel when applicable and notes for me to use in the future is appreciated
A Pizza Hut advertises that it will deliver your pizza in 35 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 35 minutes. For the simple random sample of 13 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 39.4 minutes with a standard deviation of 6.4 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.05 level of significance.
a. Write the null and alternative hypotheses using the correct notation.
b. Is the population standard deviation known or unknown in this problem? Give a reason to support your answer citing the specific wording in the problem that helped you decide.
c. Is the rejection region in one-tail or two-tails? Give a specific reason to support your answer.
d. Find the critical value that should be used for this problem.
e. Calculate the test statistic. Round your answer to the third decimal place as needed.
f. Using the bell-shaped curve below, label the following:
- Critical Value (CV)
- Test Statistic (TS)
- Shade and label the rejection region
g. Should the null hypothesis be rejected or not rejected (e.g., fail to reject)? Using complete sentences, clearly state your answer (reject or not reject the null hypothesis) and provide your reason to support that answer citing specific work/answers from the previous parts you used to make your decision.
h. Consider the claim from the Pizza Hut chain that it will deliver your pizza in 35 minutes from when the order is placed. Should that claim be rejected or not rejected? Using complete sentences, clearly state you answer (reject or not reject the claim) and give a reason to support your answer citing specific work/answers from the previous parts you used to make your decision.
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