Question

You wish to test the following claim (Ha) at a significance level of α 0.01. Ha: μ > 85.6 and you know the standard deviation is σ 18.5. You obtain a sample mean of M- 87.2 for a sample of size n-63 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.. O less than (or equal to) α O greater than α

Answer 1

Please read the answer below. Don't hesitate to give a "thumbs up" in case you're satisfied with the answer.

Popdev = 18.5
Sample mean = 87.2
n = 63
Pop. mean = 85.6

test statistic = (sample mean- pop. mean)/(stdev/sqrt(n))
= (87.2-85.6)/(18.5/sqrt(63))
=0.687

p-value is basically P(Z>.687) = 0.2462

The p-value is (greater than alpha) [alpha is .01]

This test statistic leads to a decision to...

c.fail to reject the null [because p-value>alpha]

As such, the final conclusion is that...

d. There is not sufficient evidence to support the claim that the population mean is greater than 85.6