Need P-Value, Decision on the Null hypothesis, and Interpret the Result, answered thank you.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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I Need P-Value, Decision on the Null hypothesis, and Interpret the Result, answered thank you. 

 

Thank you. 

The population mean waiting time to check out of a supermarket has been 5 minutes. Recently, in an effort to reduce the waiting time,
the supermarket has experimented with a system in which infrared cameras use body heat and in-store software to determine how
many lanes should be opened. A sample of 22 customers was selected, and their mean waiting time to check out was 4.31 minutes,
with a sample standard deviation of 2.19 minutes. At the 0.1 significance level is there evidence that the population mean waiting time
to check out is less than 5 minutes?
a. What are the null and alternate hypotheses?
Ho: (Click to select) v
H1: (Click to select) ♥ (Click to select) v
(Click to select) v
5
b. What is the level of significance?
(Round your answer to 2 decimal places.)
c. Compute the value of the test statistic?
sign in front of them)
(Round your answer to 3 decimal places. Negative values should have a minus
d. Determine the p-value
(Round your final answer to 4 decimal places.)
e. What is your decision regarding the null hypothesis?
O Fail to reject the null.
O Reject the null.
f. Interpret the result.
Transcribed Image Text:The population mean waiting time to check out of a supermarket has been 5 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a system in which infrared cameras use body heat and in-store software to determine how many lanes should be opened. A sample of 22 customers was selected, and their mean waiting time to check out was 4.31 minutes, with a sample standard deviation of 2.19 minutes. At the 0.1 significance level is there evidence that the population mean waiting time to check out is less than 5 minutes? a. What are the null and alternate hypotheses? Ho: (Click to select) v H1: (Click to select) ♥ (Click to select) v (Click to select) v 5 b. What is the level of significance? (Round your answer to 2 decimal places.) c. Compute the value of the test statistic? sign in front of them) (Round your answer to 3 decimal places. Negative values should have a minus d. Determine the p-value (Round your final answer to 4 decimal places.) e. What is your decision regarding the null hypothesis? O Fail to reject the null. O Reject the null. f. Interpret the result.
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