Access over 20 million homework & study documents

Until this year, the mean braking distance of a Nikton automobil

Content type
User Generated
Type
Exam Practice
Rating
Showing Page:
1/2
Solution
a) given
alpha=0.05
formula used
confodence interval= [ 81 - z(alpha)/2]*(27/81) , 81 - z(alpha)/2]*(27/81)]
so by putting values
xbar+/- Z*s/vn
--> 167 +/- 1.96*27/sqrt(81)
--> (161.12, 172.88)
b) it is seen from the data that we have 95% confident that the population mean
will be within this interval because this means that if you take 100 samples of size
81 in 95% case the sample mean will fall in this interval
c) let n=required sample size,alpha=0.05
[z(alpha)/2]*(27/n) = 2 (by the question)
z(alpha)/2 can be found from normal table .

Sign up to view the full document!

lock_open Sign Up
Showing Page:
2/2

Sign up to view the full document!

lock_open Sign Up
Unformatted Attachment Preview
 Solution a) given alpha=0.05 formula used confodence interval= [ 81 - z(alpha)/2]*(27/81) , 81 - z(alpha)/2]*(27/81)] so by putting values xbar+/- Z*s/vn --> 167 +/- 1.96*27/sqrt(81) --> (161.12, 172.88) b) it is seen from the data that we have 95% confident that the population mean will be within this interval because this means that if you take 100 samples of size 81 in 95% case the sample mean will fall in this interval c) let n=required sample size,alpha=0.05 [z(alpha)/2]*(27/n) = 2 (by the question) z(alpha)/2 can be found from normal table . putting values n=(Z*s/E)^2=(1.96*27/2 ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Anonymous
Really useful study material!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4