Question

You wish to test the following claim (H1H1) at a significance
level of α=0.002α=0.002.

Ho:μ=63.9Ho:μ=63.9

H1:μ<63.9H1:μ<63.9

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

data |
---|

82.5 |

57.8 |

79.7 |

47.4 |

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 =

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 63.9.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 63.9.
- The sample data support the claim that the population mean is less than 63.9.
- There is not sufficient sample evidence to support the claim that the population mean is less than 63.9.

Answer #1

Given that Ho:μ=63.9

H1:μ<63.9

using TI 84 calculator

enter the data given data set in L1

press stat then tests then select TTest

select data L1

press calculate

we get

test statistic = 0.346

p value = 0.3761

p value is greater than alpha(0.002)

we failed to reject Ho because p value is greater than significance level

There is sufficient evidence to warrant rejection of the claim that the population mean is less than 63.9.

You wish to test the following claim (H1H1) at a significance
level of α=0.002α=0.002.
Ho:μ=51.3Ho:μ=51.3
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You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=627n=627
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What is the test statistic for this sample? (Report answer accurate
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What is the p-value for this sample? (Report answer accurate to
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You believe the population is normally distributed and you know the
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You believe the population is normally distributed and you know the
standard deviation is σ=13.2σ=13.2. You obtain a sample mean of
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What is the test statistic for this sample?
test statistic = (Report answer accurate to 3 decimal
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What is the p-value for this sample?
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You wish to test the following claim (H1H1) at a significance
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