Question

You wish to test the following claim at a significance level of α=0.002α=0.002.

Due SUITITIVI ZUTY 1:39 PIIL You wish to test the following claim at a significance level of o=0.002. Hol = 80.7 H1:14 > 80.7 You believe the population is normally distributed but you do not know the standard deviation. You obtain a sample of size 102 with mean 84.1 and a standard deviation of 12.3. What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) test statistic = Questions Q1 (0/1) Q2 (0/1) ► 3 (0/3) Q4 (0/3) Q5 (0/5) Q6 (0/5) ► 07 (0/2) Q8 (0/1) ► 9 (0/2) ► 10 (0/1) CQ 11 (3.2/4) CQ 12 (2.6/4) ✓Q 13 [4/4] ✓Q 14 [4/4] Q 15 (0/4) ✓Q 16 [4/4] ► 17 (074) CQ 18 (1.1/4) Q19 [6/6] Q 20 (0/4) ► 21 (0/2) What is the p-value for this sample? (Report answer accurate to 4 decimal places.) p-value = The p-value is... less than or equal to) a greater than o This test statistic leads to a decision to... reject the nul accept the null fail to reject the null Grade: 24.9168 Print Version As such, the final conclusion is that... there is sufficient evidence to conclude that the population mean is equal to 80.7. there is not sufficient evidence to conclude that the population mean is equal to 80.7. Othere is sufficient evidence to conclude that the population mean is greater than 80.7. Othere is not sufficient evidence to conclude that the population mean is great er than 80.7.

Answer 1

The statistical software output for this problem is:

One sample T summary hypothesis test: V: Mean of population Ho : = 80.7 HA: > 80.7 Hypothesis test results: Mean Sample Mean Std. Err. DF T-Stat 84.1 1.2178815 101 2.7917331 P-value 0.0031

Hence,

Test statistic = 2.792

p - Value = 0.0031

Less than (or equal to) $\small \alpha$

Reject the null

Final conclusion: Option C is correct.