Question

Data obtained from the National Center for Health Statistics show that men between the ages of 20 and 29 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 given below.

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

Use Minitab Express to perform a Normality Test on this data. Report your answers rounded to three decimal places, where applicable.

a) In the normal probability plot, the data  (does / does not) stay relatively close to the reference line.

b) The Anderson-Darling test results in a P-value of . The given data  (does /does not) provide significant evidence to claim that it did not come from a normal distribution.

Answer 1

a) In the normal probability plot, the data  does stay relatively close to the reference line.

b) The Anderson-Darling test results in a P-value of 0.448 . The given data   does not provide significant evidence to claim that it did not come from a normal distribution.

[ interpretation:-

i am using minitab to solve the problem.

steps:-

copy the data in a column of minitab and name it height graph probability plot single ok in graph variable select height in distribution select normal ok ok.

your normal probability plot be:-

for Anderson darling test p value = 0.448 >0.05,

so we do not have enough evidence to reject our null hypothesis...this means that there is not enough evidence to reject the claim that the data comes from a normal population. ]