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Fastball Speed Hypothesis Test

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I am having problem figuring out how to complete the following problems.

A college baseball coach read in a sports magazine that the average fastball speed of all the pitchers who competed last year in the college world series was 90.4 mph. The 16 pitchers who tried out for the school's team this year averaged 88.2 mph, and the standard deviation was 3.4 mph. What is the value of the test statistic?
a. -25.9
b. -0.65
c. -2.59
d. 0.65

Two samples of shelled corn were taken from a bin and the weight of each kernel was measured and compared to the mean from last year's entire bin. The test statistic from the first sample was 1.8, the test statistic from the second sample was 2.5, and the research team was astonished to learn that the mean and standard deviation were identical for both samples. If the first sample was composed of 16 kernels, how many kernels were weighed on the second occasion?
a. 8
b. 12
c. 22
d. 31

Suppose the average watermelon contains 144.0 brown seeds. Farmer Brown just picked 25 ripe melons from the south side of his big garden and found that the average was 141.0 seeds and the standard deviation was 2.4 seeds. The same test statistic was obtained from another sample of 36 melons picked from the north side of the garden, but this time the standard deviation was 3.6 seeds. What was the average number of seeds in each watermelon picked from the north side?
a. 140.25
b. 140.40
c. 140.54
d. 141.75

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Solution Summary

Word document shows how to find the value of a baseball test statistic.

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