Question

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 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 not equal to 65.2.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 65.2.
- The sample data support the claim that the population mean is not equal to 65.2.
- There is not sufficient sample evidence to support the claim that the population mean is not equal to 65.2.

Answer #1

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You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:μ=63.1Ho:μ=63.1
Ha:μ>63.1Ha:μ>63.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=31n=31
with mean M=69.3M=69.3 and a standard deviation of
SD=10.4SD=10.4.
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 decimal places.)
p-value...

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:μ=82.1Ho:μ=82.1
Ha:μ>82.1Ha:μ>82.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=16n=16
with mean M=90.8M=90.8 and a standard deviation of
SD=13.9SD=13.9.
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=0.05α=0.05.
Ho:μ=85.4Ho:μ=85.4
Ha:μ>85.4Ha:μ>85.4
You believe the population is normally distributed and you know the
standard deviation is σ=14.2σ=14.2. You obtain a sample mean of
M=88.2M=88.2 for a sample of size n=64n=64.
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=0.05α=0.05.
Ho:μ≤70.8Ho:μ≤70.8
Ha:μ>70.8Ha:μ>70.8
You believe the population is normally distributed and you know the
standard deviation is σ=13.6σ=13.6. You obtain a sample mean of
¯x=74.5x¯=74.5 for a sample of size n=31n=31.
What is the critical value for this test? (Report answer accurate
to two decimal places.)
critical value =
What is the standardized 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=0.02.
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=0.05α0.05.
Ho:μ=81.4Hoμ81.4
Ha:μ>81.4Haμ81.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=67n67
with mean M=87.9M87.9 and a standard deviation of
SD=20.4SD20.4.
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 decimal places.)
p-value...

You wish to test the following claim (Ha) at a significance
level of α=0.05
Ho:μ=82.8
Ha:μ≠82.8
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=17 with
mean M=77.9 and a standard deviation of SD=16.9.
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.)...

You wish to test the following claim (Ha) at a significance
level of α=0.05
Ho:μ=84.2
Ha:μ<84.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=4 with
mean M=82.7 and a standard deviation of SD=6.1.
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=0.10α=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 (Ha) at a significance
level of α=0.005.
Ho:μ=87.1
Ha:μ≠87.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=642 with
mean M=88.5 and a standard deviation of SD=13.1.
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...

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