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According to one year\'s Student Survey, the mean height of males is 177 cm. wit

ID: 3044621 • Letter: A

Question

According to one year's Student Survey, the mean height of males is 177 cm. with a standard deviation of 7.5 cm. Assume that these results are true for the population of all students. For each statement, decide whether it is True or False.

The chance that the height of one randomly chosen male student is between 170.5 and 184.5 is about 68%.

True/False

The chance that the mean of a random sample of 25 male students is between 170.5 and 184.5 is about 68%.

True/False

The chance that the height of one randomly chosen male student is between 175.5 and 178.5 is about 68%.

True/False

The chance that the mean of a random sample of 25 male students is between 175.5 and 178.5 is about 68%.

True/False

Explanation / Answer

1)true as 170.5 and 184.5 are one std deviation from mean

2) false ; as std error =(std deviation/(n)1/2 =7.5/(25)1/2 =1.5 ; therefore scores are not 1 standard deviation from mean

3) false

4) True.

(Note : for part 1: the socres should be between 169.5 and 184.5; can u ask anybody for correction; please revert)

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