If, in a sample of n = 16 selected from a normal population,
and
, what is your statistical decision if the level of significance,
, the null hypothesis,
, is
, and the alternative hypothesis,
, is
?
a) Determine the critical value(s).
b) Determine the test statistic,.
c) State your statistical decision.
i. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from
ii. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from
iii. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from
iv. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from