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# 1)What percentage of hospitals provide at least some charity care | Complete Solution

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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 =

thousand dollars

s =

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

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## [Solved] 1)What percentage of hospitals provide at least some charity care | Complete Solution

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• Submitted On 10 Aug, 2015 08:59:33
a) x = 62.2 % s = 8.0 % b) lower...
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)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 so...
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### 1)What percentage of hospitals provide at least some charity care | Complete Solution

A) x = 62.2 % s = 8.0 % b) lower limit 58.1% upper limit 66.4% 2) a) x = 64.2 crimes per 1000 people s = 27.9 crimes per 1000 people...

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