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.

110 | 70 | 50 | 55 | 95 | 50 | 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-bar* and sample
standard deviation *s*. (Round your answers to two decimal
places.)

x-bar = |
$ |

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)

xabr = 80.15

s = 28.93

b)

sample mean, xbar = 80.15

sample standard deviation, s = 28.93

sample size, n = 20

degrees of freedom, df = n - 1 = 19

Given CI level is 90%, hence α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05, tc = t(α/2, df) = 1.729

ME = tc * s/sqrt(n)

ME = 1.729 * 28.93/sqrt(20)

ME = 11.2

CI = (xbar - tc * s/sqrt(n) , xbar + tc * s/sqrt(n))

CI = (80.15 - 1.729 * 28.93/sqrt(20) , 80.15 + 1.729 *
28.93/sqrt(20))

CI = (68.97 , 91.33)

lower limit = 68.97 | $ |

upper limit = 91.33 |

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.
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...

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.
40
105
70
70
70
55
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.
120
110
110
65
105
115
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.
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.
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.
55 100 100 100
105 40 30 23
100 110
105 95 105 60
110 120 95 90
60 70
(a) Use a calculator with mean and...

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