The average height of young adult males has a normal distribution with standard deviation of 2.5 inches. You want to estimate the mean height of students at your college or university to within one inch with 90% confidence. How many male students must you measure?

The total number of male students is 24 and this can be determined by using the formula of margin of error.

Given :

The formula of margin of error can be used in order to determine the sample size. The formula of margin of error is given by:

     ----- (1)

Now, substitute the known terms in the equation (1).

Cross multiply in the above expression.

n = 24.01

n 24

So, the total number of male students is 24.

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The male students must you measure 'n' = 24

Step-by-step explanation:

Step(i):-

Given Population standard deviation = 2.5 inches

Given the margin of error = 1 inches

Step(ii):-

90% confidence interval of Margin of error is determined by

cross multiplication , we get

√n  =  4.9

squaring on both sides , we get

n = 24.01≅ 24

Final answer:-

The male students must you measure 'n' = 24

2 x t divided by n

step-by-step explanation:

45

step-by-step explanation: