7. Given the information below, test the hypothesis using the P-value approach.
Ηο: μ = 103
n = 35,
versus H1: μ≠ 103
2= 100, s = 5.7
(i) Must the population be normally distributed to test this hypothesis?
(2 points)
A. Yes, because n ≥ 30.
B. Yes, because the sample is random.
C. No, because n ≥ 30.
D. No, because the test is two-tailed.
(ii) Write the specific calculator function that you used and the values that you entered.
(iii) Report the P-value for this test.
P-value =
(iv) Report the test statistic value. to =
(3 points)
(4 points)
(3 points)
(v) If a level of significance of a = 0.05 is used, which of the following is correct?
(3 points)
A. Since P-value > a, reject the null hypothesis.
B. Since P-value > a, do not reject the null hypothesis.
C. Since P-value <a, do not reject the null hypothesis.
D. Since P-value <a, reject the null hypothesis.
(vi) Construct a 98% confidence interval for this situation and give a correct interpretation of the confidence
(5 points)
interval.
