SOLUTION: A sample of 62 night-school students' ages is obtained in order to estimate the mean age of night-school students. x = 25.1 years. The population variance is 26.
(a) Give a poin
Algebra.Com
Question 965061: A sample of 62 night-school students' ages is obtained in order to estimate the mean age of night-school students. x = 25.1 years. The population variance is 26.
(a) Give a point estimate for μ. (Give your answer correct to one decimal place.)
Correct: Your answer is correct.
(b) Find the 95% confidence interval for μ. (Give your answer correct to two decimal places.)
Lower Limit
Upper Limit
(c) Find the 99% confidence interval for μ. (Give your answer correct to two decimal places.)
Lower Limit
Upper Limit
I got part a) correct. And I know I have to deduct in either direction from the mean to find the limits (I think). But I am not sure how to figure out what to deduct. I have looked online and can't seem to find anything similar with clear cut, step by step instructions.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A sample of 62 night-school students' ages is obtained in order to estimate the mean age of night-school students. x-bar = 25.1 years. The population variance is 26.
(a) Give a point estimate for μ. (Give your answer correct to one decimal place.)
Ans: 25.1
Correct: Your answer is correct.
(b) Find the 95% confidence interval for μ. (Give your answer correct to two decimal places.)
Margin of Error = z*s/sqrt(n) = 1.96*26/sqrt(62) = 6.47
---------
Lower Limit = x-bar - ME = 25.1-6.47 = 18.63
---------------
Upper Limit = x-bar + ME = 25.1+6.47 = 31.57
==============================
(c) Find the 99% confidence interval for μ. (Give your answer correct to two decimal places.)
ME = 2.5758*26/sqrt(62) = 8.51
Lower Limit = 25.1-8.51
Upper Limit = 25.1+8.51
==============
Cheers,
Stan H.
RELATED QUESTIONS
A sample of 60 night-school students’ ages is
obtained in order to estimate the mean... (answered by Boreal)
according to a local school district, middle school students are assigned a mean of 2.5... (answered by stanbon)
A sample of 60 grade 9 students' ages was obtained to estimate the mean age of all grade... (answered by CPhill)
A recent article in a college newspaper stated that college students get an average of... (answered by Boreal)
A university is conducting a survey to study the number of hours students sleep at night... (answered by Boreal)
At the Fredericton High School it is estimated that at most 25% of the students ride... (answered by CPhill)
A market researcher wants to find a confidence interval estimate of the mean age of all... (answered by stanbon)
A market researcher wants to find a confidence interval estimate of the mean age of all... (answered by ewatrrr)
English people get a mean of 7 hrs sleep per night. A random sample of 36 students... (answered by stanbon)