The weekly incomes of a large group of sales clerks are normally distributed wit

Question

The weekly incomes of a large group of sales clerks are normally distributed with a mean of $900 and a standard deviation of $110. Use the normal distribution to calculate the following:

1. What percent of the clerks make at least $1200 a month?

2. Use the empirical rule to determine the following:

A About 68% of the observations lie between which two values?

B About 95% of the observations lie between which two values?

C About 99% of the observations lie between which two values?

PLEASE HELP WITH STEP BY STEP INSTRUCTIONS

3. Use the normal distribution to determine the following:

A 68% of the observations lie between which two values?

B 95% of the observations lie between which two values?

C 99% of the observations lie between which two values?

4. Discuss the differences in the results for question 2 and question 3.

Explanation / Answer

1. Z=(1200-900)/110=2.73. From normal distribution table, this gives p of 0.9968. Thus the answer is 99.68%

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