An incubation period is a time between when you contract a virus and when your symptoms start. Assume that the population of incubation periods for a novel coronavirus is normally distributed. By surveying randomly selected local hospitals, a researcher was able to obtain the following sample of incubation periods of 37 patients:

6	11	7	5	9
6	9	9	11	10
10	10	9	11	10
9	9	8	8	7
10	12	9	6	6
9	8	7	9	8
5	8	4	6	6
8	8

(Note: The average and the standard deviation of the data are respectively 8.19 day(s) and 1.91 day(s).)

At 1% significance level, test the claim that the average incubation period of the novel coronavirus is greater than 5 day(s).

Procedure: Select an answer One variance χ² Hypothesis Test One mean Z Hypothesis Test One proportion Z Hypothesis Test One mean T Hypothesis Test

Assumptions: (select everything that applies)

Step 1. Hypotheses Set-Up:

$\displaystyle {H}_{{0}}:$  Select an answer μ σ² p =	, where Select an answer p μ σ² is the Select an answer population proportion population variance population mean and the units are Select an answer weeks days months years
$\displaystyle {H}_{{a}}:$ Select an answer p σ² μ ? < ≠ >	, and the test is Select an answer Left-Tail Right-Tail Two-Tail

Step 2. The significance level $\displaystyle \alpha=$ %

Step 3. Compute the value of the test statistic: Select an answer χ²₀ f₀ t₀ z₀ = (Round the answer to 3 decimal places)

Step 4. Testing Procedure: (Round the answers to 3 decimal places)

CVA	PVA
Provide the critical value(s) for the Rejection Region:	Compute the P-value of the test statistic:
left CV is and right CV is	P-value is

Step 5. Decision:

CVA	PVA
Is the test statistic in the rejection region?	Is the P-value less than the significance level?
? yes no	? no yes

Conclusion: Select an answer Reject the null hypothesis in favor of the alternative. Do not reject the null hypothesis in favor of the alternative.

Step 6. Interpretation:

At 1% significance level we Select an answer DO DO NOT have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.