SOLUTION: Please help..I have taking stats online and trying to teach myself...I am very confused on this problem....Thank you A sample of 147 golfers showed that their average score on

Question 490312: Please help..I have taking stats online and trying to teach myself...I am very confused on this problem....Thank you
A sample of 147 golfers showed that their average score on a particular golf course was 91.85 with a standard deviation of 3.29.
Answer each of the following (show all work
and state the final answer to at least two decimal places.):

(A) Find the 90% confidence interval of the mean score for all 147 golfers.
(B) Find the 90% confidence interval of the mean score for all golfers if this is a sample of 125 golfers instead of a sample of 147.
(C) Which confidence interval is larger and why?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A sample of 147 golfers showed that their average score on a particular golf course was 91.85 with a standard deviation of 3.29.
Answer each of the following (show all work
and state the final answer to at least two decimal places.):
(A) Find the 90% confidence interval of the mean score for all 147 golfers.
xbar = 91.85
ME = 1.645*(3.29/sqrt(147) = 0.4464
--------
90% CI: 91.85-0.4464 < u < 91.85+0.4464
(91.4036,92.2964)
=========================
(B) Find the 90% confidence interval of the mean score for all golfers if this is a sample of 125 golfers instead of a sample of 147.
xbar = 91.85
ME = 1.645 = 0.4841
(91.3659,92.3341)
=========================
(C) Which confidence interval is larger and why?
The sample of 125 has a wider CI because 125 gives us
less information than a sample of 147.
The 125 sample has a larger margin of error(ME)
because the ME is always twice as wide as ME.
===============
Cheers,
Stan H.

RELATED QUESTIONS
Please help...i am taking an online stats class and am so confused on this problem..I... (answered by stanbon)

I am studying for a college algebra test and have hit a wall with this question: Let... (answered by oscargut)

Hello here is my question for my assisnment. Let's say you got a 78 on a Stats exam.... (answered by richwmiller)

I am so lost on what to do on this problem. Taking stats online so have no one on one... (answered by stanbon)

PLEASE HELP I HAVE BEEN WORKING ON THIS PROBLEM FOR THE LAST HOUR AND I HAVE STATS ONLINE (answered by stanbon)

A short quiz has two true-false questions and one multiple-choice question with four... (answered by stanbon)

Use algebraic procedures to find the exact solution(s) of the equation.... (answered by stanbon,jim_thompson5910)

I am confused about how to solve this problem?? If loga=1/3logX-3logv, what is the... (answered by greenestamps,josgarithmetic,ikleyn)

I am taking an algebra class online and I have no idea how to work this problem. Could... (answered by vertciel,Zucchini)