Calculate the degrees of freedom and the test statistic for

Calculate the degrees of freedom and the test statistic for a test of H_o:\\ mu = 0.295 against H_a:\\ mu != 0.295. Assume the requirements are satisfied. Round the t-statistic to three decimal places

Solution

The sample size here is n = 100.

So, the degree of freedom = n-1 = 99

And for the 95% confidence level, i.e. level of significance of 0.05, the two tailed t-statistic value is -

t^* = t_99,0.05 = 1.984

Hence, df = 99 and t = 1.984