1. The distribution of the weekly incomes of a restaurant manager follows a normal distribution with...
1. The distribution of the weekly incomes of a restaurant manager follows a normal distribution with a mean of $1000 and the standard deviation of $100. Using the concept of area under the normal cure and the z-score table, determine the following:
a. What percentage of the managers earn a weekly income between $750 and $1225? Draw a normal curve, and shade the desired area on your diagram.
b. What percentage of the managers earn a weekly income between $1100 and $1225? Draw a normal curve, and shade the desired area on your diagram.
2. The mean daily sales are $2000 for a sample of 40 days at a fast-food restaurant. The standard deviation of the population is $3000.
a. What is the population mean? (Hint: Use the concept of point estimate)
b. Develop a 99% confidence interval for the population mean.
Homework Answers
1.a. Here we need to find 
As distribution is normal we can convert x to z
b. 
2. a. Point estimate of mean is 
b. z value for 99% CI is 2.576 as P(-2.576<z<2.576)=0.99
So Margin of Error is 
Hence CI is 
Add Answer to:
1. The distribution of the weekly incomes of a restaurant
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