Question

College algebra students believe that the mean score on the first weekly test is 73. A statistics instructor thinks the mean score is higher than 73. He samples ten statistics students and obtains the scores 70; 65; 73; 68; 81; 82; 71; 67; 74; 82. He performs a hypothesis test using a 5% level of significance. The data are assumed to be from a normal distribution.

a) Use a calculator function (Ttest / Ztest) to compute the p-value. (5 points)

b) Compare the p-value with the stated alpha significance level. (2 point)

c) State the conclusion. (3 points)

Answer 1

Minitab:

Stat --> Basic Statistics --> one sample t test

(a) P-value = 0.4424

(b) P-value = 0.4424 >0.05=alpha

(c) As P-value = 0.4424 >0.05=alpha, we fail to reject H0.

That is , there is not sufficient evidence to conclude that mean score is higher than 73.