College Stats Help

Question

You wish to test the following claim () at a significance level of .      

      

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size  with mean  and a standard deviation of .What is the p-value for this sample?

(Report answer accurate to four decimal places.)

p-value = 

Answer 1

since we do not know the population standard deviation you will compute the t statistic

t = (57.7 - 64.5)/(8.2/sqrt(22)) = -3.89

the degrees of freedom is 22-1 = 21

since this is a 2-sided test the p-value = 2 * P(t < -3.89) at 21 DOF = 0.000845

Since the level of significance 0.01, you would reject Ho.