Question

Evaluate the 95% CIs for the mean and the standard deviation of a population. How would...

Evaluate the 95% CIs for the mean and the standard deviation of a population. How would I do this in R program?

I used the t-test for the mean but not sure about the standard deviation.

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

Homework Answers

Answer #1

Obtain the sample size n and the (sample) standard deviation s.

Calculate the critical values needed for your calculation using the χ2-distribution:

The R code is:

qchisq(alpha/2,n-1,lower.tail=TRUE)
qchisq(alpha/2,n-1,lower.tail=FALSE)

You can calculate the confidence interval:

Since you want the C.I. for the standard deviation, you need to take the square root of everything in the trilinear inequality:

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
7. If I have a population of an unknown mean and unknown standard deviation, what is...
7. If I have a population of an unknown mean and unknown standard deviation, what is the 95% confidence interval estimate of the mean if a. A random sample of size 25 gives a mean of 50 and a standard deviation of 12 b. A random sample of size 16 gives a mean of 50 and a standard deviation of 12 8. The average cost per night of a hotel room in New York City is $325. Assume this estimate...
To estimate with 95% confidence the mean of a normal population whose standard deviation is assumed...
To estimate with 95% confidence the mean of a normal population whose standard deviation is assumed to be 4 and the maximum allowable sampling error is assumed to be 1, what must the random sample size be? Make sure to round your answers up to the nearest whole number.
In constructing a 95% confidence level estimate of the mean when the population standard deviation (σ)...
In constructing a 95% confidence level estimate of the mean when the population standard deviation (σ) is known what will be your z score used in the formula?
2.) What test statistic is used when testing the population proportion? Population Mean? Population Standard Deviation?...
2.) What test statistic is used when testing the population proportion? Population Mean? Population Standard Deviation? 3.) Under what scenarios would you use a Z statistic, T statistic, Chi-Square statistic?
I have calculated the following Sample mean: 80.91. The actual population mean = 82.51 Population standard...
I have calculated the following Sample mean: 80.91. The actual population mean = 82.51 Population standard deviation = 12.65724 sample size = 100 How would I test the hypothesis that H0 = Population mean HA ≠ Population mean
1. A random sample of 30 has a mean of 95 and a population standard deviation...
1. A random sample of 30 has a mean of 95 and a population standard deviation of 7. Find a 95% confidence interval. What is the smaller value? [Round to the nearest thousandths] 2. What is the larger value? [Round to the nearest thousandths]
population mean = 41.17 ; mean of sample means = 41.14 population standard deviation = 15.60...
population mean = 41.17 ; mean of sample means = 41.14 population standard deviation = 15.60 ; standard deviation of sample means = 4.26 a) From the above information , comment the result of : i) population mean and mean of sample means; ii) population standard deviation and standard deviation of sample means
One can calculate the 95% confidence interval for the mean with the population standard deviation known....
One can calculate the 95% confidence interval for the mean with the population standard deviation known. This will give us an upper and a lower confidence limit. What happens if we decide to calculate the 99% confidence interval? Describe how the increase in the confidence level has changed the width of the confidence interval. Do the same for the confidence interval set at 80%. Include an example with actual numerical values for the intervals in your post to help with...
One can calculate the 95% confidence interval for the mean with the population standard deviation known....
One can calculate the 95% confidence interval for the mean with the population standard deviation known. This will give us an upper and a lower confidence limit. What happens if we decide to calculate the 99% confidence interval? Describe how the increase in the confidence level has changed the width of the confidence interval. Do the same for the confidence interval set at 80%. Include an example with actual numerical values for the intervals in your post to help with...
One can calculate the 95% confidence interval for the mean with the population standard deviation known....
One can calculate the 95% confidence interval for the mean with the population standard deviation known. This will give us an upper and a lower confidence limit. What happens if we decide to calculate the 99% confidence interval? Describe how the increase in the confidence level has changed the width of the confidence interval. Do the same for the confidence interval set at 80%. Include an example with actual numerical values for the intervals in your post to help with...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT