Question

A random sample of 30 students yielded a mean of x(bar) = 72 and a variance...

A random sample of 30 students yielded a mean of x(bar) = 72 and a variance of s2 = 10 for scores on a college placement test in mathematics. Assuming the scores to be normally distributed, construct a 95% confidence interval for σ2.

a.

[6.34 < σ2 < 18.07]

b.

[7.38 < σ2 < 20.37]

c.

[6.72 < σ2 < 19.36]

d.

[7.61 < σ2 < 21.69]

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A random sample of 30 students yielded a mean of x(bar) = 72 and a variance...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1. A random sample of 20 students yielded a mean ofT 72 and a variance of s2 16 for scores on a c...

    1. A random sample of 20 students yielded a mean ofT 72 and a variance of s2 16 for scores on a college placement test in mathematics. Assuming the scores to be normally distributed, construct a 98% confidence interval for σ2. Be sure to » State if the problem involves 1 population or 2 populations. If you have 2 populations, should they be paired or not? . State a State whether you should use z, t, or x2 and find...

  • 6. A random sample of 18 students obtained a mean score of 82 and a variance...

    6. A random sample of 18 students obtained a mean score of 82 and a variance of s2=16 on a college placement test in science. Assuming the scores to be normally distributed, construct a 90 percent confidence interval for variance, σ2.

  • A random sample of 49 observations is used to estimate the population variance. The sample mean a...

    A random sample of 49 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 59 and 3.1, respectively. Assume that the population is normally distributed. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Construct the 90% interval estimate for the population variance. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval b. Construct the...

  • A test on a random sample of 50 water balloons yielded a sample average weight of...

    A test on a random sample of 50 water balloons yielded a sample average weight of 1.2 pounds. Prior studies have shown that the population standard deviation is 0.2 pounds. Assume that water balloon weight is normally distributed. Construct a 95% confidence interval of the population mean?

  • A random sample of 43 observations is used to estimate the population variance. The sample mean...

    A random sample of 43 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 68.5 and 3.1, respectively. Assume that the population is normally distributed. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Construct the 95% interval estimate for the population variance. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval to b. Construct...

  • A test on a random sample of 26 tricornes (i.e., pirate hats) yielded a sample average...

    A test on a random sample of 26 tricornes (i.e., pirate hats) yielded a sample average length of 23 inches and a sample standard deviation of 1.5 inches. Assume that tricorne length is normally distributed. How many total samples are needed to construct a 95% confidence interval that differs from the sample mean by at most 0.5 inches?

  • = Question Help For a random sample of 400 students, the mean cost for textbooks during...

    = Question Help For a random sample of 400 students, the mean cost for textbooks during the first semester of college was found to be $374.75, and the sample standard deviation was $30.81. Assuming that the population is normally distributed, find the margin of error of a 95% confidence interval for the population mean The margin of error for a 98% confidence interval is (Round to two decimal places as needed.) I

  • College students annual earnings are normally distributed with standard deviation σ-$800. If the mean earning for...

    College students annual earnings are normally distributed with standard deviation σ-$800. If the mean earning for gro construct a 95% confidence interval estimate of the mean annual earnings for all college students. 10. up of 64 students is $4000,

  • A random sample of 20 recent weddings in a country yielded a mean wedding cost of...

    A random sample of 20 recent weddings in a country yielded a mean wedding cost of $ 26,323.26. Assume that recent wedding costs in this country are normally distributed with a standard deviation of ​$8400. Complete parts​ (a) through​ (c) below. a. Determine a​ 95% confidence interval for the mean​ cost, mu​, of all recent weddings in this country.

  • The mean replacement time for a random sample of 12 cd players is 8.6 years with...

    The mean replacement time for a random sample of 12 cd players is 8.6 years with a standard deviation of 3.5 years. Construct the 98% confidence interval for the population variance σ2. Assume the data are normally distributed.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT