A random sample of 36 orders at a fast food restaurant was studied to determine the amount of the order. The results had a mean of $15.50 with a standard deviation of $8.98. An article in the local paper claims that the average amount spent in a visit to the fast-food restaurant is less than $20. Is there significant evidence that the mean amount of orders at the fast foom restaurant is less than $20 at a 5% significance level? Use the P-value method to run the hypothesis test. Show all steps. 1.) Identify the null and alternative hypotheses. Enter»,<,>, or "not equal" for Ho: Hy:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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A random sample of 36 orders at a fast food restaurant was studied to determine the amount of the order. The results had a
mean of $15.50 with a standard deviation of $8.98. An article in the local paper claims that the average amount spent in a
visit to the fast-food restaurant is less than $20. Is there significant evidence that the mean amount of orders at the fast food
restaurant is less than $20 at a 5% significance level? Use the P-value method to run the hypothesis test. Show all steps.
1.) Identify the null and alternative hypotheses. Enter »,<,>, or "not equal" for
Ho:
H₂:1
2.) Find the test statistic: Test Statistic -
3.) Find the p-value: p-value=
(Round to two decimal places)
(Round to four decimal places)
4.) State the decision about the null hypothesis. (Type Reject or Fail to Reject in the answer box.)
D
5.) Conclusion: There
less than $20 (Type is or isn't into the answer box)
sufficient evidence that the mean amount of orders at the fast food restaurant is
Transcribed Image Text:A random sample of 36 orders at a fast food restaurant was studied to determine the amount of the order. The results had a mean of $15.50 with a standard deviation of $8.98. An article in the local paper claims that the average amount spent in a visit to the fast-food restaurant is less than $20. Is there significant evidence that the mean amount of orders at the fast food restaurant is less than $20 at a 5% significance level? Use the P-value method to run the hypothesis test. Show all steps. 1.) Identify the null and alternative hypotheses. Enter »,<,>, or "not equal" for Ho: H₂:1 2.) Find the test statistic: Test Statistic - 3.) Find the p-value: p-value= (Round to two decimal places) (Round to four decimal places) 4.) State the decision about the null hypothesis. (Type Reject or Fail to Reject in the answer box.) D 5.) Conclusion: There less than $20 (Type is or isn't into the answer box) sufficient evidence that the mean amount of orders at the fast food restaurant is
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