Question

# 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 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 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 55.7.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 55.7.
• The sample data support the claim that the population mean is not equal to 55.7.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 55.7.

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