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To find the critical values for this hypothesis test, we need to use a t-distribution with n-1 degrees of freedom, where n is the sample size. Since the sample test statistic is 105.8 and the standard deviation is 2.3 minutes, we can calculate the degrees of freedom using the formula:
(105.8 - 2.0) / (2.3 / sqrt(n)) = t
Using the significance level of 0.10, we can find the critical values for a two-tailed test with the specified degrees of freedom. The initial conclusion would be to reject the null hypothesis if the test statistic falls outside of the critical values.