Perform a hypothesis test for the mean for the following sample, the significance level alpha is 5%.
Sample: 3.4, 2.5, 4.8, 2.9, 3.6, 2.8, 3.3, 5.5, 3.7, 2.8, 4.4, 4, 5.2, 3, 4.8.
Population standard deviation is =1.05. Test if mean is greater than 3.16.
Assume normality of the data.
1 Formulate the hypothesis by entering the corresponding signs: "<", ">", "=" or "≠" and numbers.
Hint: in your answers use "<>" instead of "≠".
H0: mean
H1:mean
2 Test statistics value (rounded to two decimal places):
3 Conclusions, based on the results, which of the following options is correct:
(type the corresponding capital letter, do not type the "dot" at the end)
A. Reject H0 and accept H1 at 5% significance level.
B. Accept H0 with 95% confidence.
C. Do not reject H0 at 5% significance level and reserve judgement.
D. Reject both, H0 and H1, the test has failed.
E. Accept both, H0 and H1, the test has failed.