Question

You wish to test the following claim (H1H1) at a significance
level of α=0.01α=0.01.

Ho:μ=69.9Ho:μ=69.9

H1:μ>69.9H1:μ>69.9

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:

data |
---|

77.2 |

76.4 |

66.7 |

68.1 |

66 |

69.2 |

81.3 |

76.2 |

74.9 |

70.9 |

78.3 |

70.2 |

76.2 |

73.2 |

68.8 |

What is the critical value for this test? (Report answer accurate
to three decimal places.)

critical value =

What is the test statistic for this sample? (Report answer accurate
to three decimal places.)

test statistic =

The test statistic is...

- in the critical region
- not in the critical region

This test statistic leads to a decision to...

- reject the null
- accept the null
- fail to reject the null

As such, the final conclusion is that...

- There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 69.9.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 69.9.
- The sample data support the claim that the population mean is greater than 69.9.
- There is not sufficient sample evidence to support the claim that the population mean is greater than 69.9.

Answer #1

You wish to test the following claim (H1) at a significance
level of α=0.01.
Ho:μ=82.6
H1:μ>82.6
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
84.2
79.3
95
87.8
81.6
86.2
82.9
112.6
102.1
85
96.7
67.3
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate...

You wish to test the following claim (H1H1) at a significance
level of α=0.001α=0.001.
Ho:μ=82.3Ho:μ=82.3
H1:μ>82.3H1:μ>82.3
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=26n=26
with a mean of ¯x=90x¯=90 and a standard deviation of
SD=11.9SD=11.9.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate
to three...

You wish to test the following claim (H1H1) at a significance
level of α=0.01α=0.01.
Ho:μ=71.3Ho:μ=71.3
H1:μ>71.3H1:μ>71.3
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=33n=33
with mean M=78.3M=78.3 and a standard deviation of
SD=18.3SD=18.3.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value...

You wish to test the following claim (H1H1) at a significance
level of α=0.01α=0.01.
Ho:μ=65.1Ho:μ=65.1
H1:μ>65.1H1:μ>65.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=740n=740
with mean M=66.1M=66.1 and a standard deviation of
SD=17.1SD=17.1.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value...

You wish to test the following claim (H1H1) at a significance
level of α=0.01α=0.01.
Ho:μ=82.5Ho:μ=82.5
H1:μ≠82.5H1:μ≠82.5
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=449n=449
with mean M=81.7M=81.7 and a standard deviation of
SD=10.7SD=10.7.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value...

You wish to test the following claim (H1H1) at a significance
level of α=0.01α=0.01.
Ho:μ=79.5Ho:μ=79.5
H1:μ<79.5H1:μ<79.5
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=637n=637
with mean ¯x=79x¯=79and a standard deviation of s=10.3s=10.3.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =...

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:μ=72.8Ho:μ=72.8
Ha:μ>72.8Ha:μ>72.8
You believe the population is normally distributed and you know the
standard deviation is σ=5.8σ=5.8. You obtain a sample mean of
M=74.8M=74.8 for a sample of size n=46n=46.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =...

You wish to test the following claim (H1H1) at a significance
level of α=0.10α=0.10.
Ho:μ=79.9Ho:μ=79.9
H1:μ≠79.9H1:μ≠79.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=331n=331
with a mean of M=80.6M=80.6 and a standard deviation of
SD=8.2SD=8.2.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurate
to...

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:μ=57.9Ho:μ=57.9
Ha:μ>57.9Ha:μ>57.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=52n=52
with a mean of M=60.1M=60.1 and a standard deviation of
SD=10.7SD=10.7.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate
to three...

You wish to test the following claim ( H 1 ) at a significance
level of α = 0.05 . H o : μ = 78.8 H 1 : μ > 78.8 You believe
the population is normally distributed, but you do not know the
standard deviation. You obtain the following sample of data:
78.9, 81.9, 74.8, 74.5, 76.2, 85.2, 84.5, 71.4, 76.7, 95.5,
76.9, 82.8, 90.9, 76.9, 91.4, 90.9, 76, 75.8, 74.5, 79.7, 67.6,
85.5, 76.7, 82.5, 81.4, 81.2,...

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