1) What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following information is obtained (units in percentage of hospitals providing at least some charity care):
56.6 56.4 53.5 65.6 59.0 64.7 70.1 64.7 53.5 78.2
Assume that the population of x values has an approximately normal distribution.
(a) Use a calculator with mean and sample standard deviation keys to find the sample mean percentage x and the sample standard deviation s. (Round your answers to one decimal place.)
x = %
s = %
(b) Find a 90% confidence interval for the population average μ of the percentage of hospitals providing at least some charity care. (Round your answers to one decimal place.)
lower limit %
upper limit %
2) The following data represent crime rates per 1000 population for a random sample of 46 Denver neighborhoods.†
63.2 36.3 26.2 53.2 65.3 32.0 65.0
66.3 68.9 35.2 25.1 32.5 54.0 42.4
77.5 123.2 66.3 92.7 56.9 77.1 27.5
69.2 73.8 71.5 58.5 67.2 78.6 33.2
74.9 45.1 132.1 104.7 63.2 59.6 75.7
39.2 69.9 87.5 56.0 154.2 85.5 77.5
84.7 24.2 37.5 41.1
(a) Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviation s. (Round your answers to one decimal place.)
x = crimes per 1000 people
s = crimes per 1000 people
(b) Let us say the preceding data are representative of the population crime rates in Denver neighborhoods. Compute an 80% confidence interval for μ, the population mean crime rate for all Denver neighborhoods. (Round your answers to one decimal place.)
lower limit crimes per 1000 people
upper limit crimes per 1000 people
e) Compute a 95% confidence interval for μ, the population mean crime rate for all Denver neighborhoods. (Round your answers to one decimal place.)
lower limit
upper limit
3) How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F. A random sample of prices ($) for sleeping bags in this temperature range is given below. Assume that the population of x values has an approximately normal distribution.
45 110 120 50 70 55 30 23 100 110
105 95 105 60 110 120 95 90 60 70
(a) Use a calculator with mean and sample standard deviation keys to find the sample mean price x and sample standard deviation s. (Round your answers to two decimal places.)
x = $
s = $
(b) Using the given data as representative of the population of prices of all summer sleeping bags, find a 90% confidence interval for the mean price μ of all summer sleeping bags. (Round your answers to two decimal places.)
lower limit $
upper limit $
4) Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. Assume that the population of x values has an approximately normal distribution.
91 179 135 91 75 94 116 100 85
(a) Use a calculator with mean and sample standard deviation keys to find the sample mean startup cost x and sample standard deviation s. (Round your answers to one decimal place.)
x =
Incorrect: Your answer is incorrect.
thousand dollars
s =
Incorrect: Your answer is incorrect.
thousand dollars
(b) Find a 90% confidence interval for the population average startup costs μ for candy store franchises. (Round your answers to one decimal place.)
lower limit thousand dollars
upper limit thousand dollars