Read below and tell us if you agree or disagree with her and why?

Scenario::

The manager of a hotel prides himself on the speedy check-in time. From his past years of experience, he believes the mean check-in time to be 131 seconds. Fawn, a long-time employee, is not so sure that is the case. In a sample of 15 check-ins, she found the mean check-in time of her sample to be 137 seconds with a standard deviation of 2 seconds. Run a hypothesis test to determine if the mean check-in time is different from 131 seconds. Alpha = 0.05

1. What is the mean of the population?

Mean of the population is 131

2. What is the mean of the sample?

Mean of the sample is 137

3. What is the sample size?

. Sample size is 15.

4. Is this a one-tail or a two-tailed test? Why?

This is a two-tailed test because the claim is mean check-in time is different from 131 seconds.

5. What would the null hypothesis be?

H_(0):=131

6. What would the alternative hypothesis be?

H_(a):131

7. Would you solve for z or t? What formula would you use?

Solve for the T test is used because this corresponds to a two-tailed test, for which a t-test for one mean, with unknown population standard deviation and sample standard deviation, will be used.

8. Let's pretend you found that the p-value was 0.06. Would you reject or fail to reject your null hypothesis? Why? What's the rule?

Fail to reject the null hypothesis because pretend p value= 0.06 >

= 0.05.

If the p-value is less than the level of significance, then test hypothesis should be rejected. and if the p-value is greater than level of significance then to reject the test hypothesis.

9. Let's pretend you failed to reject your null hypothesis. What would your conclusion be about the mean of the population?

Here given that let's pretend you failed to reject your null hypothesis. Therefore, there is not enough evidence to claim that mean check-in time is different from 131 seconds at the= 0.05 significance level.

Videos:

Basics of Hypothesis Testing: https://www.youtube.com/watch?v=DlwOTOydeyk

Null and Alternative Hypotheses: https://www.youtube.com/watch?v=ZzeXCKd5a18

Z test example: https://www.youtube.com/watch?v=pfrZYfcfJEA

P-Value method examples: https://www.youtube.com/watch?v=8Aw45HN5lnA

Example problems of hypothesis testing: https://www.youtube.com/watch?v=zJ8e_wAWUzE