What critical value of t* should be used for a 95% confidence interval for the population mean based on a random sample of 30 observations?Find the t-table here.

For a 95% confidence interval, the middle 95% of the t-distribution is included, leaving 0.025 in each tail. With 30 observations, the degrees of freedom are 30 − 1 = 29. The t critical value for 29 degrees of freedom and two tails totaling 0.05 is 2.045, so the correct choice is t* = 2.045.

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