A survey of 200 middle managers showed a distribution of the number of hours of

Question

A survey of 200 middle managers showed a distribution of the number of hours of exercise they participated in per week with a mean of 3.58 hours and a standard deviation of 4.78 hours. Complete parts (a) through (c) below. a) According to the Normal model, what percent of managers will exercise fewer than one standard deviation below the mean number of hours? % (Round to the nearest whole number as needed.) b) For these data, what does that mean? Explain. Select the correct choice below and fill in the answer box(es) within your choice (Type integers or decimals.) OA One standard deviation below the mean is OB One standard deviation below the mean is OC. One standard deviation below the mean is 0 D One standard deviation below the mean is hours. This means that %of managers are exerc sing exactly this number o hours. hours. This means hat %of managers are exercising no ewer than this number of hours. hours, which is impossible. hours. This means that % of managers are exercisng no more than this number of hours c) Explain the problem in using the Normal model for these data. Choose the correct answer below. OA. The distribution is uniform. O B. The distribution is exponential. O C. The distribution is strongly skewed to the right, not symmetric. Click to select your answer(s).

Explanation / Answer

Ans:

Given that

mean=3.58

standard deviation=4.78

a)One standard deviation below the mean means that z score is -1

P(z<-1)=0.1587 i.e. approximately 16%

b)

3.58-4.78=-1.2,which is impossible.(time can not be negative)

Option C is correct.

c)Option C is correct.

The distribution is strongly skewed to the right,not symmetric.

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