A professional baseball player changed his throwing motion to increase the velocity of his fastball. Before the change, the player threw his fastball at an average of 91 miles per hour. After the change in his throwing motion, the team watched him throw 64 fastballs with an average speed of 91.75 miles per hour and a standard deviation of 3 miles per hour.
a. Specify the null and alternative hypotheses to determine whether the baseball player increased the speed of his fastball.
b. Calculate the value of the test statistic and the p-value.
c. At the 1% significance level, can you conclude that the baseball player has increased the speed of his fastball? Explain.
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A professional baseball player changed his throwing motion to increase the velocity of his fastball. Before the change, the player threw his fastball at an average of 91 miles per hour. After the change in his throwing motion, the team watched him throw 6
Billy wants to test whether the average speed of his favorite pitcher’s fastball differs from the league average of 92 miles per hour. He takes a sample of 36 of the pitcher’s fastballs and computes a sample mean of 94 miles per hour. Assume that the standard deviation of the population is 4 miles per hour.a. Specify the null and alternative hypotheses to test Billy’s claim.b. Calculate the value of the test statistic and the p-value.c. At the 5% significance level,...