Question

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.

Ho:μ=61.2Ho:μ=61.2

Ha:μ<61.2Ha:μ<61.2

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

46.2 | 78.8 | 64 | 64.4 | 59.3 |

78.8 | 89.7 | 85.8 | 41.3 | 81.8 |

34 | 73.7 | 79.8 | 78 | 72.4 |

78.8 | 69.2 | 66.7 | 81.8 | 67.2 |

56 | 89.7 | 71.9 | 58.5 | 46.8 |

40.5 | 48.3 | 52.5 | 53.8 | 45.1 |

43.3 | 24.4 | 24.4 | 84.3 | 81.8 |

70.2 | 45.7 | 53.8 | 29.4 | 76.4 |

78 | 49.3 | 52.1 | 78 | 57.2 |

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 =

The p-value is...

- less than (or equal to) αα
- greater than αα

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 less than 61.2.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 61.2.
- The sample data support the claim that the population mean is less than 61.2.
- There is not sufficient sample evidence to support the claim that the population mean is less than 61.2.

Answer #1

test statistic = 0.408

P-value = 0.6575

The p-value is greater than α

fail to reject the null

There is not sufficient sample evidence to support the claim that the population mean is less than 61.2.

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=61.2Ho:μ=61.2
Ha:μ>61.2Ha:μ>61.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=125n=125
with mean ¯x=66x¯=66 and a standard deviation of
s=14.1s=14.1.
What is the test statistic for this sample?
test statistic = (Report answer accurate to 3 decimal
places.)
What is the p-value for this sample?
p-value = (Report answer accurate to 4 decimal
places.)
The...

You wish to test the following claim (HaHa) at a significance level
of α=0.10α=0.10.
Ho:μ=77.7Ho:μ=77.7
Ha:μ<77.7Ha:μ<77.7
You believe the population is normally distributed and you know the
standard deviation is σ=16.5σ=16.5. You obtain a sample mean of
M=74.8M=74.8 for a sample of size n=72n=72.
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 =
The p-value...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=80.9Ho:μ=80.9
Ha:μ<80.9Ha:μ<80.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=4n=4
with mean M=72.1M=72.1and a standard deviation of
SD=8.8SD=8.8.
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=0.10α=0.10.
Ho:μ=55.7Ho:μ=55.7
Ha:μ≠55.7Ha:μ≠55.7
You believe the population is normally distributed and you know the
standard deviation is σ=13.5σ=13.5. You obtain a sample mean of
¯x=60.9x¯=60.9 for a sample of size n=56n=56.
What is the test statistic for this sample?
test statistic = (Report answer accurate to 3 decimal
places.)
What is the p-value for this sample?
p-value = Use Technology (Report answer accurate to 4
decimal places.)
The p-value...

You wish to test the following claim (HaHa) at a significance
level of α=0.02.
Ho:μ=63.1Ho
Ha:μ<63.1Ha
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=67 with
mean M=54.6 and a standard deviation of SD=20.4.
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...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=50.1Ho:μ=50.1
Ha:μ<50.1Ha:μ<50.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=20n=20
with mean M=42.7M=42.7and a standard deviation of
SD=11.4SD=11.4.
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value = ___
The p-value is...
less than (or equal to) αα
greater than αα
This p-value leads to a...

You wish to test the following claim (Ha) at a significance
level of α=0.02.
Ho:μ=81.8
Ha:μ≠81.8
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=7 with
mean M=77 and a standard deviation of SD=9.1.
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...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=88.2Ho:μ=88.2
Ha:μ>88.2Ha:μ>88.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=27n=27
with mean M=92.6M=92.6 and a standard deviation of
SD=7.4SD=7.4.
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
less than (or equal to) αα
greater than αα
This p-value leads to a...

You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:μ=55.2Ho:μ=55.2
Ha:μ<55.2Ha:μ<55.2
You believe the population is normally distributed and you know the
standard deviation is σ=14.9σ=14.9. You obtain a sample mean of
¯x=47.2x¯=47.2 for a sample of size n=33n=33.
What is the test statistic for this sample?
test statistic = (Report answer accurate to 3 decimal
places.)
What is the p-value for this sample?
p-value = Use Technology (Report answer accurate to 4...

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:μ=65.2Ho:μ=65.2
Ha:μ≠65.2Ha:μ≠65.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
14.6
36.1
13.5
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 =
The p-value...

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