Question

1) 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.

96 | 176 | 130 | 94 | 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 |

2)

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.

50 | 110 | 115 | 85 | 75 | 95 | 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 | $ |

3)

Over the past several months, an adult patient has been treated
for tetany (severe muscle spasms). This condition is associated
with an average total calcium level below 6 mg/dl. Recently, the
patient's total calcium tests gave the following readings (in
mg/dl). Assume that the population of *x* values has an
approximately normal distribution.

9.1 | 8.6 | 10.1 | 9.1 | 9.4 | 9.8 | 10.0 | 9.9 | 11.2 | 12.1 |

(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean reading *x* and the sample
standard deviation *s*. (Round your answers to two decimal
places.)

x = |
mg/dl |

s = |
mg/dl |

(b) Find a 99.9% confidence interval for the population mean of
total calcium in this patient's blood. (Round your answer to two
decimal places.)

lower limit | mg/dl |

upper limit | mg/dl |

Answer #1

Question 1

Values ( X ) | ||

96 | 128.4437 | |

176 | 4715.1157 | |

130 | 513.7793 | |

94 | 177.7769 | |

75 | 1045.4423 | |

94 | 177.7769 | |

116 | 75.1117 | |

100 | 53.7773 | |

85 | 498.7763 | |

Total | 966 | 7386.0001 |

Mean

Standard deviation

Confidence Interval

Lower Limit =

Lower Limit = 88.4992

Upper Limit =

Upper Limit = 126.1674

90% Confidence interval is ( 88.5 , 126.2 )

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.
Do you want...

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 xvalues has an approximately normal
distribution.
91
177
134
91...

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.
97
172
127...

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.
92
176
134...

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.
90
170
126...

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.
96
180
128...

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
132...

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.
100 175 127...

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.
90
175
132...

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.
94
178
135...

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