Question

Thirty-two small communities in Connecticut (population near
10,000 each) gave an average of *x* = 138.5 reported cases
of larceny per year. Assume that *σ* is known to be 42.3
cases per year.

(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

lower limit | |

upper limit | |

margin of error |

(b) Find a 95% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.)

lower limit | |

upper limit | |

margin of error |

(c) Find a 99% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.)

lower limit | |

upper limit | |

margin of error |

(d) Compare the margins of error for parts (a) through (c). As the
confidence levels increase, do the margins of error increase?

As the confidence level increases, the margin of error decreases.As the confidence level increases, the margin of error increases. As the confidence level increases, the margin of error remains the same.

(e) Compare the lengths of the confidence intervals for parts (a)
through (c). As the confidence levels increase, do the confidence
intervals increase in length?

As the confidence level increases, the confidence interval increases in length.As the confidence level increases, the confidence interval decreases in length. As the confidence level increases, the confidence interval remains the same length.

Answer #1

a)

lower limit =126.2 | |

upper limit =150.80 | |

margin of error =12.3 |

b)

lower limit =123.8 | |

upper limit =153.2 | |

margin of error =14.7 |

c)

lower limit =119.2 | |

upper limit =157.8 | |

margin of error =19.3 |

d)

.As the confidence level increases, the margin of error increases.

e)

As the confidence level increases, the confidence interval increases in length.

Thirty-three small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 41.5
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-one small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 45.1
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-four small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that ? is known to be 40.1
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-two small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases of larceny
per year. Assume that σ is known to be 40.5 cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal place.)
lower limit upper limit margin of error
(b) Find a 95% confidence interval for the...

Thirty small communities in Connecticut (population near 10,000
each) gave an average of x = 138.5 reported cases of larceny per
year. Assume that σ is known to be 42.5 cases per year. (a) Find a
90% confidence interval for the population mean annual number of
reported larceny cases in such communities. What is the margin of
error? (Round your answers to one decimal place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-one small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 43.3
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-four small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases of larceny
per year. Assume that σ is known to be 40.3 cases per year. (a)
Find a 90% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.) lower
limit upper limit margin of error (b) Find a 95% confidence
interval for the...

Thirty-one small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 44.5
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty-two small communities in Connecticut (population near
10,000 each) gave an average of x = 138.5 reported cases
of larceny per year. Assume that σ is known to be 45.1
cases per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

Thirty small communities in Connecticut (population near 10,000
each) gave an average of x = 138.5 reported cases of
larceny per year. Assume that σ is known to be 40.3 cases
per year.
(a) Find a 90% confidence interval for the population mean
annual number of reported larceny cases in such communities. What
is the margin of error? (Round your answers to one decimal
place.)
lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the...

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