81. Random people versus read about the time it takes with you tomorrow in the morning. Standard deviation of the super random sample is 2.3 minutes. The test statistic for the sample is 105.8. Find the critical values, using a significance level of 0.10, needed to tastic mean that the standard deviation of all commute time is equal to 2.0 minutes. State the initial conclusion.
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.