Question

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
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 82.6.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 82.6.
- The sample data support the claim that the population mean is greater than 82.6.
- There is not sufficient sample evidence to support the claim that the population mean is greater than 82.6.

Answer #1

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?...

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 (H1) at a significance
level of α=0.01
Ho:μ1=μ2
H1:μ1>μ2
You believe both populations are normally distributed, but you do
not know the standard deviations for either. However, you also have
no reason to believe the variances of the two populations are not
equal. You obtain a sample of size n1=20 with a mean of M1=84.6 and
a standard deviation of SD1=18.1 from the first population. You
obtain a sample of size n2=21 with...

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 (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 (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 (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 (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 =...

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