SOLUTION: It was reported that a certain population had a mean of 27. To test this claim, you selected a random sample of size 100. The computed sample mean and sample standard deviation wer

Question 335773: It was reported that a certain population had a mean of 27. To test this claim, you selected a random sample of size 100. The computed sample mean and sample standard deviation were 25 and 7, respectively. At the 0.05 level of significance, you can claim that the average of this population is:
a. not equal to 25.
b. equal to 25.
c. not equal to 27.
d. equal to 27.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It was reported that a certain population had a mean of 27. To test this claim, you selected a random sample of size 100. The computed sample mean and sample standard deviation were 25 and 7, respectively. At the 0.05 level of significance, you can claim that the average of this population is:
a. not equal to 25.
b. equal to 25.
c. not equal to 27.
d. equal to 27
-------------------------
----
t(25) = (25-27)/[7/sqrt(100)] = -2.8571
------
The critical values are +-invT(0.025 with df= 99) = -1.9842
----
Since the test stat is in the reject interval, reject Ho.
Ans: a
======================
Cheers,
stan H.
RELATED QUESTIONS
It was reported that a certain population had a mean of 27. To test this claim, you... (answered by stanbon)

Question 1 A fast food restaurant claims that the mean time is not equal to 3 minutes. (answered by stanbon)

Good evening, may I please have help with this problem. I'm stuck. I would use a t-score, (answered by Boreal)

My apologies, I did not submit the whole problem. I could really use any assistance.... (answered by math_tutor2020,Theo)

In a test of H0 : μ = 100 against Ha : μ < 100, a random sample of size 65... (answered by jim_thompson5910)

The mean I.Q of a sample of 1600 children was 99. Is it likely that this was a random... (answered by math_tutor2020)

Question 1 of 40 0.0/ 2.5 Points A researcher wants to check the claim that... (answered by Alan3354,MathTherapy)

suppose it is known that 30% of a certain population are immune to some disease. if a... (answered by stanbon,ewatrrr)

An electronics manufacturing process has a scheduled mean completion time of 70 minutes. (answered by stanbon)