Question

Customers arrive at a movie theater at the advertised movie time
only to find that they have to sit through several previews and
prepreview ads before the movie starts. Many complain that the time
devoted to previews is too long (*The Wall Street Journal*,
October 12, 2012). A preliminary sample conducted by *The Wall
Street Journal* showed that the standard deviation of the
amount of time devoted to previews was four minutes. Use that as a
planning value for the standard deviation in answering the
following questions. Round your answer to next whole number.

**a.** If we want to estimate the population mean
time for previews at movie theaters with a margin of error of 75
seconds, what sample size should be used? Assume 95%
confidence.

**b.** If we want to estimate the population mean
time for previews at movie theaters with a margin of error of 1
minute, what sample size should be used? Assume 95% confidence.

Answer #1

a)

for95% CI crtiical Z = | 1.960 | |

standard deviation σ= | 4.0 | |

margin of error E = | 1.25 | |

required
sample size
n=(zσ/E)^{2 }
= |
40.0 |

b)

for95% CI crtiical Z = | 1.960 | |

standard deviation σ= | 4.0 | |

margin of error E = | 1 | |

required
sample size
n=(zσ/E)^{2 }
= |
62.0 |

Customers arrive at a movie theater at the advertised movie time
only to find that they have to sit through several previews and
prepreview ads before the movie starts. Many complain that the time
devoted to previews is too long. A preliminary sample conducted by
The Wall Street Journal showed that the standard deviation of the
amount of time devoted to previews was five minutes. Use that as a
planning value for the standard deviation in answering the
following questions....

Customers arrive at a movie theater at the advertised movie time
only to find that they have to sit through several previews and
prepreview ads before the movie starts. Many complain that the time
devoted to previews is too long. A preliminary sample conducted by
The Wall Street Journal showed that the standard deviation
of the amount of time devoted to previews was three minutes. Use
that as a planning value for the standard deviation in answering
the following questions....

Customers arrive at a movie theater at the advertised movie time
only to find that they have to sit through several previews and
prepreview ads before the movie starts. Many complain that the time
devoted to previews is too long. A preliminary sample conducted by
The Wall Street Journal showed that the standard deviation
of the amount of time devoted to previews was three minutes. Use
that as a planning value for the standard deviation in answering
the following questions....

Customers arrive at a movie theater at the advertised movie time
only to find that they have to sit through several previews and
prepreview ads before the movie starts. Many complain that the time
devoted to previews is too long. A preliminary sample conducted by
The Wall Street Journal showed that the standard deviation of the
amount of time devoted to previews was three minutes. Use that as a
planning value for the standard deviation in answering the
following questions....

Customers arrive at a movie theater at the advertised movie time
only to find that they have to sit through several previews and
prepreview ads before the movie starts. Many complain that the time
devoted to previews is too long. A preliminary sample conducted by
The Wall Street Journal showed that the standard deviation of the
amount of time devoted to previews was four minutes. Use that as a
planning value for the standard deviation in answering the
following questions....

Customers arrive at a movie theater at the advertised movie time
only to find that they have to sit through several previews and
prepreview ads before the movie starts. Many complain that the time
devoted to previews is too long. A preliminary sample conducted by
The Wall Street Journal showed that the standard deviation of the
amount of time devoted to previews was five minutes. Use that as a
planning value for the standard deviation in answering the
following questions....

Customers arrive at a movie theater at the advertised movie time
only to find that they have to sit through several previews and
prepreview ads before the movie starts. Many complain that the time
devoted to previews is too long (The Wall Street Journal, October
12, 2012). A preliminary sample conducted by The Wall Street
Journal showed that the standard deviation of the amount of time
devoted to previews was four minutes. Use that as a planning value
for the...

Customers arrive at a movie theater at the advertised movie time
only to find that they have to sit through several previews and
prepreview ads before the movie starts. Many complain that the time
devoted to previews is too long (The Wall Street Journal,
October 12, 2012). A preliminary sample conducted by The Wall
Street Journal showed that the standard deviation of the
amount of time devoted to previews was 4 minutes. Use that as a
planning value for the...

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