Question

I have the remaining of this problem to do, I have it partially done. I am not sure how you 'test' and do the 5 steps in the Sample hypothesis for my own data I had to submit. It is the month of March, 31 days of temperatures.

4. Test the hypothesis that the mean of your data set is not equal to "the number you guessed in
Week 1". Show your work as you apply the five step procedure for hypothesis testing.
What is your conclusion?
				Data mean is	40.71
Step 1	State Hypothesis			"Guess"	51
	Ho: not equal to	51		Count is	31	( daily temps
	H1 : =	51				for March)
Step 2
	Apply level of signifigance of		0.05
	since none is given or known
Step 3	Identify the Test Statistic

This is the Information Megastat kicked out:

Descriptive statistics
	Temp.
count	31
mean	40.71
sample standard deviation	9.52
sample variance	90.68
minimum	21
maximum	64
range	43
population variance	87.75
population standard deviation	9.37
standard error of the mean	1.71
confidence interval 90.% lower	37.90
confidence interval 90.% upper	43.52
margin of error	2.81
z	1.645

Answer 1

Here we have 40.71, s -9.52, n -31 Hypotheses are Level of significance a-0.05 Test is two tailed Degree of freedom: df -n-1-30 Test Statistics: (40.71-51)/(9.52/sqrt(31)) --6.018 Critical value: Rejection Region: 2.042 If |t| >2.042, Reject HO Decision: Since test statistics lies in rejection region so we reject the null hypothesis P-value-0 P-value: Decision: Since p-value is less than level of significance so we reject the null hypothesis Excel function for critical value Excel function for p-value: TINV(0.05,30) TDIST(6.018,30,2)