Question

The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 8.3 cm a. Find the probability that an individual distance is greater than 218.00 cm b. Find the probability that the mean for 25 randomly selected distances is greater than 203.70 cm c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal places as needed.) b. The probability is (Round to four decimal places as needed) c. Choose the correct answer below O A. The normal distribution can be used because the original population has a normal distribution OB. The normal distribution can be used because the probability is less than 0.5 OC. The normal distribution can be used because the mean is large O D The normal distribution can be used because the finite population correction factor is small Click to select your newers)

Answer 1

Let "X" be overhead reach distance.

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(1.5060, TRUE)" to find the probability.

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given: n=25

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-1.0843, TRUE)" to find the probability.

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The normal distribution can be used because the original population has a normal distribution.