How would you answer him back below: Do you agree or disagree with him using referernce. please APA

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 still determining if 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 differs from 131 seconds. Alpha = 0.05 Preliminary questions: 1. What is the mean of the population? The population mean it is 131 seconds. 2. What is the mean of the sample? The sample mean is 137 seconds. 3. What is the sample size? The same size would be n = 15. 4. Is this a one-tail or a two-tailed test? Why? This would be a two-tailed test. The reason is that the interest is to determine whether the mean check time is equal to 131 seconds or not. This would imply using "=" or a two-tailed test 5. What would the null hypothesis be? Ho: =131. The mean check-in time is equal to 131 seconds. 6. What would the alternative hypothesis be? Ha: =131. The mean check-in time is not equal to 131 seconds.

7. Would you solve for z or t? Which formula would you use? The best option would be T-Test because the T-test is used since there is a small sample size (n = 15). This is because this is less than 30

The formula of the t statistics is given by: t=(ns)x where: x - sample mean - population mean s - sample standard deviation n - sample size 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?

We would fail to reject the null hypothesis. The rule is to reject the null if the p-value is less than alpha (0.05). Since 0.06 is greater than 0.05, we fail to reject the null. 9. Let's pretend you failed to reject your null hypothesis. What would your conclusion be about the mean of the population?

The alpha would equal 0.05; there is sufficient evidence to say that the mean check-in time equals 131 seconds.

references; APA

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