Question

#1.       You are to construct a 99% confidence interval of a normally distributed population; the population...

#1.       You are to construct a 99% confidence interval of a normally distributed population; the population standard deviation is known to be 25. A random sample of size 28 is taken; (i) the sample mean is found to 76 and (ii) the sample standard deviation was found to be 30. Construct the Confidence interval. Clearly name the standard distribution you used (z, or t or F etc.) and show work. (10 points)

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

Homework Answers

Answer #1

Solution :

Here population standard deviation is known & population are normally distributed, so we use Z standard distribution.

99% Confidence interval : ( 63.81 , 88.19 )

Explanation :

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
Assuming that the population is normally​ distributed, construct a 99 %99% confidence interval for the population​...
Assuming that the population is normally​ distributed, construct a 99 %99% confidence interval for the population​ mean, based on the following sample size of n equals 5.n=5.​1, 2,​ 3, 44​, and 2020 In the given​ data, replace the value 2020 with 55 and recalculate the confidence interval. Using these​ results, describe the effect of an outlier​ (that is, an extreme​ value) on the confidence​ interval, in general. Find a 99 %99% confidence interval for the population​ mean, using the formula...
Assuming that the population is normally​ distributed, construct a 99​% confidence interval for the population mean...
Assuming that the population is normally​ distributed, construct a 99​% confidence interval for the population mean for each of the samples below. Explain why these two samples produce different confidence intervals even though they have the same mean and range. Sample A: 1,3,3,3,6,6,6,8 Sample B: 1,2,3,4,5,6,7,8 Q1. Construct a 99​% confidence interval for the population mean for sample A. ____ <_ u <_ _____ Q2. Construct a 99​% confidence interval for the population mean for sample B. ____ <_ u...
Use the standard normal distribution or the​ t-distribution to construct a 99​% confidence interval for the...
Use the standard normal distribution or the​ t-distribution to construct a 99​% confidence interval for the population mean. Justify your decision. If neither distribution can be​ used, explain why. Interpret the results. In a recent​ season, the population standard deviation of the yards per carry for all running backs was 1.21. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. 1.6 3.4 2.8 6.9 6.1 5.8 7.3 6.5...
Use the standard normal distribution or the​ t-distribution to construct a 99​% confidence interval for the...
Use the standard normal distribution or the​ t-distribution to construct a 99​% confidence interval for the population mean. Justify your decision. If neither distribution can be​ used, explain why. Interpret the results. In a random sample of 13 mortgage​ institutions, the mean interest rate was 3.59​% and the standard deviation was 0.42​%. Assume the interest rates are normally distributed. Select the correct choice below​ and, if​ necessary, fill in any answer boxes to complete your choice. A. The 99​% confidence...
We use the t distribution to construct a confidence interval for the population mean when the...
We use the t distribution to construct a confidence interval for the population mean when the underlying population standard deviation is not known. Under the assumption that the population is normally distributed, find t??2,df for the following scenarios. Use Table 2. (Round your answers to 3 decimal places.) t?/2,df              a. A 95% confidence level and a sample of 8 observations.      b. A 90% confidence level and a sample of 8 observations.      c. A 95% confidence level and a...
Construct the indicated confidence interval for the population mean of each data set. If it is...
Construct the indicated confidence interval for the population mean of each data set. If it is possible to construct a confidence interval, justify the distribution you used. If it is not possible, explain why. (a) In a random sample of 40 patients, the mean waiting time at a dentist’s office was 20 minutes and the standard deviation was 7.5 minutes. Construct a 95% confidence interval for the population mean. (b) In a random sample of 20 people, the mean tip...
10 state which type of parameter is to be estimated, then construct the confidence interval 10....
10 state which type of parameter is to be estimated, then construct the confidence interval 10. A simple random sample of size 17 has mean x̄ = 8.44 and standard deviation s = 5.38. The population is normally distributed. Construct a 95% confidence interval for the population standard deviation 10 state which type of parameter is to be estimated, then construct the confidence interval 10. A simple random sample of size 17 has mean x̄ = 8.44 and standard deviation...
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, overbar x​, is found to be 115​, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 98​% confidence interval about μ if the sample​ size, n, is 20. ​(b) Construct a 98​% confidence interval about μ if the sample​ size, n, is 25. ​(c) Construct a 99​% confidence interval about μ if the sample​ size, n,...
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 109, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 98% confidence interval about m μ if the sample​ size, n, is 21. ​(b) Construct a 98% confidence interval about mu μ if the sample​ size, n, is 26. ​(c) Construct a 99% confidence interval about mu μ if the sample​ size,...
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 115​, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 98​% confidence interval about mu if the sample​ size, n, is 16. ​(b) Construct a 98​% confidence interval about mu if the sample​ size, n, is 20. ​(c) Construct a 99​% confidence interval about mu if the sample​ size, n,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT