Question

In: Statistics and Probability

Data show that men between the ages of 20 and 29 in a general population have...

Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3​ inches, with a standard deviation of 2.9 inches. A baseball analyst wonders whether the standard deviation of heights of​ major-league baseball players is less than 2.9 inches. The heights​ (in inches) of 20 randomly selected players are shown in the table.

72
74
71
72
76
70
77
76
72
72
77
73
75
70
73
74
75
73
74
73

Solutions

Expert Solution

From the given sample data : n=20 , ,

The sample standard deviation is ,

Hypothesis : Vs  

The test statistic is ,

Teh critical value is ,

The Excel function is , =CHIINV(0.95,19)

Decision : Here , teh value of the test statistic lies in the rejection region

Therefore , reject Ho.

Conclusion : Hence , at the 5% significance level , there is sufficient evidence to support the claim that the standard deviation of heights of​ major-league baseball players is less than 2.9 inches.

orchestra answered 2 years ago
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