Question

Perform a hypothesis test for the mean for the following sample. The significance level alpha is 5%.

Sample: 7.9, 8.3, 8.4, 9.6, 7.7, 8.1, 6.8, 7.5, 8.6, 8, 7.8, 7.4, 8.4, 8.9, 8.5, 9.4, 6.9, 7.7.

Test if mean≠8.7.

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 p-value (rounded to three 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)

1. Reject H0 and accept H1 at 5% significance level.
2. Accept H0 with 95% confidence.
3. Do not reject H0 at 5% significance level and reserve judgement. We may retain H0 but with some unknown probability.
4. Reject both, H0 and H1, the test has failed.
5. Accept both, H0 and H1, the test has failed.

Answer 1