The Answer to the Question
is below this banner.
Here's the Solution to this Question
The following null and alternative hypotheses need to be tested:
This corresponds to a two-tailed test, for which a t-test for one mean, with unknown population standard deviation, using the sample standard deviation, will be used.
Based on the information provided, the significance level is degrees of freedom, and the critical value for a two-tailed test is
The rejection region for this two-tailed test is
The t-statistic is computed as follows:
Since it is observed that it is then concluded that the null hypothesis is not rejected.
Using the P-value approach:
The p-value for two-tailed, degrees of freedom, is and since it is concluded that the null hypothesis is not rejected.
Therefore, there is not enough evidence to claim that the population mean is different than at the significance level.