Question

A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 
66 83 37 68 45 25 63 64 64 47 65 72 93 88 65 What are the null and alternative hypotheses?

What is the test statistic?

Identify the P value

Conclusion

Answer 1

	Values ( X )
	66	9
	83	400
	37	676
	68	25
	45	324
	25	1444
	63	0
	64	1
	64	1
	47	256
	65	4
	72	81
	93	900
	88	625
	65	4
Total	945	4750

Mean

Standard deviation

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


t = 0.6308

Test Criteria :-
Reject null hypothesis if


Result :- Fail to reject null hypothesis

Decision based on P value
P - value = P ( t > 0.6308 ) = 0.5383
Reject null hypothesis if P value < level of significance
P - value = 0.5383 > 0.01 ,hence we fail to reject null hypothesis
Conclusion :- Fail to reject null hypothesis

There is sufficient evidence to support the claim that the claim that a population mean equal to 60 seconds.

It does appear that students are reasonably good at estimating one minute