Question

You intend to estimate a population mean μμ with the following sample.

77.3 |

78.3 |

103.3 |

78.4 |

70.4 |

75.1 |

69.8 |

80.4 |

73.3 |

52.6 |

91.9 |

You believe the population is normally distributed. Find the 99.5%
confidence interval. Enter your answer as an
**open-interval** (*i.e.*, parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).

99.5% C.I. =

Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

Answer #1

Sample mean =77.3455

Sample standard deviation =12.79

Sample size =11

Level of significance=1-0.995=0.005

Degree of freedom =10

t critical value is (by using t table)=3.581

Confidence interval formula is

=(63.54,91.16)

You intend to estimate a population mean μμ with the following
sample.
52.2
47.1
54.7
36.4
54.2
68.3
38
49.9
31
You believe the population is normally distributed. Find the 95%
confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).
95% C.I. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

You intend to estimate a population mean μμ with the following
sample.
66.8
41.4
104.2
83.5
50.6
48.2
44.9
You believe the population is normally distributed. Find the 90%
confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).
90% C.I. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

You intend to estimate a population mean μμ with the following
sample.
70.8
54.9
74
64.7
69.4
59.7
71.6
60.1
You believe the population is normally distributed. Find the 90%
confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).
90% C.I. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

You intend to estimate a population mean μμ with the following
sample.
37.2
33.3
32.1
49
60
44.8
42.2
35.7
44.6
46.7
32.9
You believe the population is normally distributed. Find the 80%
confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).
80% C.I. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal...

You intend to estimate a population mean μμ with the following
sample.
50.5
55.6
67.3
43.3
44.2
56.4
69
52.9
55.6
46.9
53.7
65.3
You believe the population is normally distributed. Find the 80%
confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).
80% C.I. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3...

You intend to estimate a population mean μ with the following
sample. 70.4 64.2 69.5 65.6 58.6 You believe the population is
normally distributed. Find the 99% confidence interval. Enter your
answer as an open-interval (i.e., parentheses) accurate to twp
decimal places (because the sample data are reported accurate to
one decimal place). 99% C.I. = Answer should be obtained without
any preliminary rounding. However, the critical value may be
rounded to 3 decimal places.

You intend to estimate a population mean μμ with the following
sample.
29.4
16.1
37.9
19.5
34.5
36.1
12
41.8
You believe the population is normally distributed. Find the 99.5%
confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).

You intend to estimate a population mean μμ with the following
sample.
50.8
65
60
54.7
49.9
55.2
67.6
55.7
67.5
58.9
61.2
53.4
You believe the population is normally distributed. Find the 90%
confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).
90% C.I. =

Assume that a sample is used to estimate a population mean μμ.
Find the 99.5% confidence interval for a sample of size 61 with a
mean of 34.5 and a standard deviation of 7.4. Enter your answer as
an open-interval (i.e., parentheses)
accurate to 3 decimal places.
99.5% C.I. = ?
The answer should be obtained without any preliminary rounding.

You intend to estimate a population mean μ with the following
sample. 33 40.7 52.9 47.7 27.9 You believe the population is
normally distributed. Find the 99% confidence interval as
open-interval (i.e., parentheses) accurate to twp decimal places
(because the sample data are reported accurate to one decimal
place). 99% C.I. = Answer should be obtained without any
preliminary rounding. However, the critical value may be rounded to
3 decimal places.

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