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...

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. 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.