Question

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.

Answer #1

**ANS.**

Obs. | X | X^2 |

1 | 52.2 | 2724.84 |

2 | 47.1 | 2218.41 |

3 | 54.7 | 2992.09 |

4 | 36.4 | 1324.96 |

5 | 54.2 | 2937.64 |

6 | 68.3 | 4664.89 |

7 | 38 | 1444 |

8 | 49.9 | 2490.01 |

9 | 31 | 961 |

SUM = | 431.8 | 21757.84 |

MEAN = | 47.97778 |

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. =

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.

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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...

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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...

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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.

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.

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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.

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Find the 95% confidence interval for a sample of size 38 with a
mean of 70.6 and a population standard deviation of 9.6. Enter your
answer as an open-interval (i.e.,
parentheses) accurate to 3 decimal places.
95% C.I. =
The answer should be obtained without any preliminary rounding.

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sample.
29.4
16.1
37.9
19.5
34.5
36.1
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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).

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