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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: