Question

A random sample of size 18 taken from a normally distributed population revealed a sample mean...

A random sample of size 18 taken from a normally distributed population revealed a sample mean of 100 and a sample variance of 49. The 95% confidence interval for the population mean would equal: Group of answer choices

93.56 - 103.98

97.65 – 107.35

95.52 -104.65

96.52 – 103.48

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution :

t /2,df = 2.110

Margin of error = E = t/2,df * (s /n)

= 2.110 * (7 / 18)

Margin of error = E = 3.48

The 95% confidence interval estimate of the population mean is,

- E < < + E

100 - 3.48 < < 100 + 3.48

96.52 < < 103.48

(96.52 , 103.48)

96.52 – 103.48

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
   A random sample of size 15 taken from a normally distributed population revealed a sample...
   A random sample of size 15 taken from a normally distributed population revealed a sample mean of 75 and a sample variance of 25. The upper limit of a 95% confidence interval for the population mean would equal: Group of answer choices 72.727. 77.273. 77.769. 72.231.
A random sample of size 16 taken from a normally distributed population revealed a sample mean...
A random sample of size 16 taken from a normally distributed population revealed a sample mean of 50 and a sample variance of 36. The upper limit of a 95% confidence interval for the population mean would equal: a)57.81 b)53.20 c)69.90 d)75.31
A random sample of size 15 is taken from a normally distributed population revealed a sample...
A random sample of size 15 is taken from a normally distributed population revealed a sample mean of 75 and a standard deviation of 5. The upper limit of a 95% confidence interval for the population mean would equal?
A random sample of size 17 is taken from a normally distributed population, and a sample...
A random sample of size 17 is taken from a normally distributed population, and a sample variance of 23 is calculated. If we are interested in creating a 95% confidence interval for σ2, the population variance, then: a) What is the appropriate degrees of freedom for the χ2distribution? b) What are the appropriate χ2Rand χ2L values, the right and left Chi-square values? Round your responses to at least 3 decimal places. χ2R= χ2L=
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample? mean, is found to be 112?, and the sample standard? deviation, s, is found to be 10. ?(a) Construct a 95?% confidence interval about mu? if the sample? size, n, is 18. ?(b) Construct a 95?% confidence interval about mu? if the sample? size, n, is 11. ?(c) Construct a 70?% confidence interval about mu? if the sample? size, n, is 18....
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar​, is found to be 109​, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 95​% confidence interval about mu if the sample​ size, n, is 18. ​(b) Construct a 95​% confidence interval about mu if the sample​ size, n, is 14. ​(c) Construct a 90​% confidence interval about mu if the sample​ size, n,...
A random sample of n=12 values taken from a normally distributed population resulted in the sample...
A random sample of n=12 values taken from a normally distributed population resulted in the sample values below. Use the sample information to construct an 80​% confidence interval estimate for the population mean. 106 101 95 95 107 108 113 110 105 110 101 100      The 80​% confidence interval is from ​$ to ​$
A simple random sample of size n=18 is drawn from a population that is normally distributed....
A simple random sample of size n=18 is drawn from a population that is normally distributed. The sample mean is found to be x overbar =50 and the sample standard deviation is found to be s=14. Construct a 90​% confidence interval about the population mean.
Suppose a random sample of size 11 was taken from a normally distributed population, and the...
Suppose a random sample of size 11 was taken from a normally distributed population, and the sample standard deviation was calculated to be s = 6.5. We'll assume the sample mean is 10 for convenience. a) Calculate the margin of error for a 90% confidence interval for the population mean. Round your response to at least 3 decimal places. Number b) Calculate the margin of error for a 95% confidence interval for the population mean. Round your response to at...
A simple random sample of size nequals17 is drawn from a population that is normally distributed....
A simple random sample of size nequals17 is drawn from a population that is normally distributed. The sample mean is found to be x overbar equals 61 and the sample standard deviation is found to be sequals11. Construct a 95​% confidence interval about the population mean. The 95​% confidence interval is ​( nothing​, nothing​). ​(Round to two decimal places as​ needed.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT