Part # 1
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.
80 115 110 55 40 70 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 $
Part # 2
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.
100 177 129 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 =
s =
(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
upper limit
Part #3
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):
57 55.9 52.6 65.7 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
##Part(1)
(a) {80, 115, 110, 55, 40, 70, 30, 23, 100, 110, 105, 95, 105, 60, 110, 120, 95, 90, 60, 70}, n=20
Sample mean:
Sample standard deviation:
The sample mean, and sample standard deviation,
(b) 90% confidence interval for mean population prices of summer bags,
The formula to calculate confidence interval is:
At 90% CI, , s=29.56, n=20
Lower limit:
Upper limit:
The 90% confidence interval contains the true population mean prices for summer bags,
##Part(2)
{100, 177, 129, 91, 75, 94, 116, 100, 85}, n=9
(a) Using the formula in part (a) we can calculate the sample mean and standard deviation for this set also or using a calculator easily.
Sample mean,
Sample standard deviation,
(b) 90% confidence interval for
s= 30.61, n=9,
Lower limit:
Upper Limit:
The 90% confidence interval contains the population average startup costs μ for candy store franchises,
##Part(3)
(a) {57 55.9 52.6 65.7 59.0 64.7 70.1 64.7 53.5 78.2} , n=10
Sample mean,
Sample standard deviation,
(b) The 90% confidence interval for population average , percentage providing some charity.
,
Lower limit:
Upper limit:
The 90% confidence interval contains the the population average μ of the percentage of hospitals providing at least some charity care,
Part # 1 How much does a sleeping bag cost? Let's say you want a sleeping...
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 ($) for sleeping bags in this temperature range is given below. Assume that the population of x values has an approximately normal distribution. 105 120 105 105 75 70 30 23 100 110 105 95 105 60 110 120 95 90 60 70 (a) Use a calculator with mean and...
How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F. A random sample of prices ($) for sleeping bags in this temperature range is given below. Assume that the population of x values has an approximately normal distribution. 40 85 90 85 90 50 30 23 100 110 105 95 105 60 110 120 95 90 60 70 (a) Use a calculator with mean and...
How much does a sleeping beg cost? Let's say you want a sleeping bag that should keep you warm in temperatures frem range is given below. Assume that the population of x values has an approximately normal distribution. i 20°F to 45'F. A random sample of prices (8) for sieeping bags in ehes temperature 45 55 90 120 0 90 30 23 100110 10595 105 60110 12095 90 60 () Use a cakculator with -$ 81.15 -$ 29.72 mean and...
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. 105 100 50 110 85 70 30 23 100 110 105 95 105 60 110 120 95 90 60 70 (a) Use a calculator with mean and...
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): 56.9 56.2 53.2 66.4 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...
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): 57.2 56.3 53.4 65.7 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...
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): 56.9 56.2 52.8 65.8 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...
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): 57.3 56.3 52.8 66 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...
that 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): 57.2 56.4 52.6 65.7 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...
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): 57.4 56.4 53.4 66 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...