Question

In 2012, the mean number of runs scored by both teams in a Minor League Baseball game was 7.72. In 2013, a sample of 32 games yielded a mean number of runs of 7.09 with a standard deviation of 2.85. Perform a hypothesis test to determine whether the mean number of runs in 2013 is less than it was in 2012. Use the   0.05 level. Provide the null and alternate hypotheses, compute the value of the test statistic, and state a conclusion.

Answer 1

Solution :

The null and alternative hypothesis is ,

H0 :   = 7.72

Ha : < 7.72

Test statistic (t) =

= ( - ) / s / n

= (7.09 - 7.72) / 2.85 / 32

Test statistic = -1.25

P-value = 0.1103

= 0.05

P-value >

Reject the null hypothesis.

There is no sufficient evidence to support the claim.