Question

You wish to test the following claim at a significance level of 0.001.

Due Sun 11/10/2019 11:59 pm You wish to test the following claim at a significance level of 0.001. HO: L = 66.9 H1:> 66.9 You believe the population is normally distributed, but you do not knowthe standard deviation. You obtain a sample of size 63 with a mean of 72.2 and a standard deviation of 16.3. What is the critical value for this test? (Report answer accurateto 3 decimal places.) What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) Questions Q1 (0/1) Q2 (0/1) Q3 (0/3) ► 04 (0/3) ► 05 (0/5) ► 06 (0/5) ► 07 (0/2) Q8 (0/1) ► 9 (0/2) Q10 (0/1) C Q11 (3.2/4) CQ 12 (2.6/4) Q13[4/4] ✓Q 14[4/4] Q 15 (014) Q16[4/4] Q17 (014) CQ 18 (1.1/4) 19[6/6] Q 20 (0/4) Q21 (0/2) The test statistic is in the critical region not in the critical region This test statistic leads to a decision to Oreject the null accept the null fail to reject the null Grade: 24.9/68 Print Version As such, the final conclusion is that Othere is sufficient evidence to conclude that the population mean is equal to 66.9. Othere is not sufficient evidence to conclude that the population mean is equal to 66.9. Othere is sufficient evidence to conclude that the population mean is greater than 66.9. Othere is not sufficient evidence to conclude that the population mean is greater than 66.9.

Answer 1

The statistical software output for this problem is:

One sample T summary hypothesis test: : Mean of population Ho : = 66.9 HA: > 66.9 Hypothesis test results: Mean Sample Mean Std. Err. DF T-Stat P-value 72.2 2.053607 62 2.5808249 0.0061

Hence,

Critical value = 3.227

Test statistic = 2.581

Not in the critical region

Fail to reject the null

Final conclusion: Option D is correct.