24. In a sample of 28 randomly selected women, it was found that their mean heig

Question

24. In a sample of 28 randomly selected women, it was found that their mean height was 63.4 inches From previous studies, it is assumed that the standard deviation of all women is 2.4. Assume the heights are normally distributed. Interpret your interval. a. Find a point estimate for the population mean height of women. Round to 2 decimal places and label your answer with correct notation 1 points] b. Construct the 95% confidence interval for the population mean height of all women Round to 2 decimal places 4 points) c. Interpret the confidence interval. 2 points Page 7 of t8

Explanation / Answer

a)
Point estimate for the population mean height of women = 63.4

b)

t value at 95% = 2.0518

mean = 63.4 , s = 2.4, n = 28

CI = mean +/- t *(s/sqrt(n))
= 63.4 +/- 2.0518 *(2.4/sqrt(28))
= (62.4694 , 64.3306 )

c)

we are 95% confident that the mean height of women are fall between 62.47 and 64.33

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