Question

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. 45 100 115 55 85 120 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 $

Answer #1

a)

**mean = x = 84.65**

**standard deviation = s = 29.84**

b)

sample mean 'x̄= | 84.65 | |

sample size n= | 20 | |

sample std deviation s= | 29.839 | |

std error 'sx=s/√n= | 6.6721 | |

for 90% CI; and 19 df, value of t= | 1.729132812 | |

margin of error E=t*std error = | 11.53697089 | |

lower bound=sample mean-E = | 73.11302911 | |

Upper bound=sample mean+E = | 96.18697089 | |

from above 90% confidence interval for population mean
=(73.1130,96.1869) |

**Lower limit = 73.11**

**Upper limit = 96.19**

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.
120
110
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30
23
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110
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(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.
90
45
85
110
55
35
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.
55
105
110
115
100
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 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.
55 100 100 100
105 40 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.
105
35
105
75
110
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 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.
75
70
90
45
75
90
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. 35 110 40 75 80 45 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.
100 100 55 70 95 75 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. 75 90 80 50 35 45 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.
70
50
115
110
35
100
30
23
100
110
105
95
105
60
110
120
95
90
60
70
(a) Use a calculator with mean and...

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