Question

The lengths of major league baseball games are approximately normally distributed and average 2 hours and 50.1 minutes (170.1 minutes), with a population standard deviation of 18 minutes. It has been claimed that New York Yankee baseball games last, on the average, longer than the games of the other major league teams. To test the truth of this statement, a sample of eight Yankee games were randomly identified and the "time of the game" (in minutes) for each obtained.

199

196

202

213

187

169

169

188

At the 0.05 level of significance, does this data show sufficient evidence to conclude that the mean time of Yankee baseball games is longer than that of other major league baseball teams?

(a) The alternate hypothesis is: H_a: μ  ---Select--- =170.1 <170.1  >170.1 ≠ 170.1
(b) Find the p-value. (Give your answer correct to four decimal places.)

(c) State the appropriate conclusion.

The p-value is < α = 0.05; Reject H₀; there is sufficient evidence to support the contention that Yankee games, on the average, last longer than games of Major League Baseball.

The p-value is > α = 0.05; Reject H₀; there is sufficient evidence to support the contention that Yankee games, on the average, last longer than games of Major League Baseball.    

The p-value is > α = 0.05; Fail to reject H₀; there is not sufficient evidence to support the contention that Yankee games, on the average, last longer than games of Major League Baseball.

The p-value is < α = 0.05; Fail to reject H₀; there is not sufficient evidence to support the contention that Yankee games, on the average, last longer than games of Major League Baseball.

Answer 1