Question

We use Student’s t distribution when creating confidence intervals for the mean when the population standard...

We use Student’s t distribution when creating confidence intervals for the mean when the population standard deviation is unknown because....

We are estimating two parameters from the data and wish to have a wider confidence interval

The central limit theorem does not apply in this case

We do not want a confidence interval that is symmetric about the sample mean

We have greater certainty of our estimate

Homework Answers

Answer #1

We use student's t distribution when creating confidence interval for the mean when the population standard deviation is unknown because..... in interval estimation we have greater certainty of our estimate other than point estimation.

  • when we use confidence interval method our target is to take the shortest confidence interval for accurate result.
  • student T test does not violate the rules of central limit theorem
  • for the large number of sample the student t distribution follow the normal distribution symmetrically with confidence interval
Know the answer?
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
Similar Questions
Confidence intervals are designed to predict where the population mean will fall. We use the Z...
Confidence intervals are designed to predict where the population mean will fall. We use the Z distribution when we know the population standard deviation, and we use the T distribution when we have or can find the sample standard deviation. Explain why two different distributions are needed for this process?
For this term, we will create confidence intervals to estimate a population value using the general...
For this term, we will create confidence intervals to estimate a population value using the general formula: sample estimator +/- (reliability factor)(standard error of the estimator) Recall that the (reliability factor) x (standard error of the estimator)= margin of error (ME) for the interval. The ME is a measure of the uncertainty in our estimate of the population parameter. A confidence interval has a width=2ME. A 95% confidence interval for the unobserved population mean(µ), has a confidence level = 1-α...
The width of a confidence interval estimate for a population mean when the population standard deviation...
The width of a confidence interval estimate for a population mean when the population standard deviation is known will (A)   become narrower if the size of the sample being used is increased and the confidence level is unchanged. (B)    not change if only the sample size is increased. (C)    become wider if the sample size remains the same and the confidence level decreases. (D)   become narrower if the size of the sample is decreased and the confidence level is unchanged....
Consider the non-parametric methods for creating confidence intervals for a single mean and hypothesis testing for...
Consider the non-parametric methods for creating confidence intervals for a single mean and hypothesis testing for a single mean. Answer each of the following questions with one of the following options: confidence interval estimation, hypothesis testing, both, or neither. a. (1 point) Which method involves shifting the sample data? b. (1 point) Which method creates a distribution that is centered at the observed sample mean? c. (1 point) Which method involves using sample data and sampling with replacement? d. (1...
1. To estimate the mean of a population with unknown distribution shape and unknown standard deviation,...
1. To estimate the mean of a population with unknown distribution shape and unknown standard deviation, we take a random sample of size 64. The sample mean is 22.3 and the sample standard deviation is 8.8. If we wish to compute a 92% confidence interval for the population mean, what will be the t multiplier? (Hint: Use either a Probability Distribution Graph or the Calculator from Minitab.)
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...
A confidence interval for a population mean is a region around the sample mean that we...
A confidence interval for a population mean is a region around the sample mean that we are fairly sure or confident in this case, that this interval contains a population mean. This is the confidence level. This level is a percentage of how confident we are that the interval contains the population mean. The car mileage case in the chapter is one common example of a confidence interval, which shows strong evidence that the mean EPA city and highway miles...
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 tα/2,df for the following scenarios. (You may find it useful to reference the t table. Round your answers to 3 decimal places.) tα/2,df a. A 90% confidence level and a sample of 11 observations. b. A 95% confidence level and a sample of 11 observations. c. A...
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 tα/2,df for the following scenarios. (You may find it useful to reference the t table. Round your answers to 3 decimal places.) tα/2,df a.A 95% confidence level and a sample of 22 observations. b.A 99% confidence level and a sample of 22 observations. c.A 95% confidence level...
Consider the non-parametric methods for creating confidence intervals for a single mean and hypothesis testing for...
Consider the non-parametric methods for creating confidence intervals for a single mean and hypothesis testing for a single mean. Answer each of the following questions with one of the following options: confidence interval estimation, hypothesis testing, both, or neither. (1 point) Which method involves shifting the sample data? (1 point) Which method creates a distribution that is centered at the observed sample mean? (1 point) Which method involves using sample data and sampling with replacement? (1 point) Which method requires...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Suppose that the time (in hours) that Irene spends on an untimed final exam follows an...
    asked 6 minutes ago
  • The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal...
    asked 19 minutes ago
  • what type of graph is best suitable for data obtained from customer ratings. The ratings are...
    asked 23 minutes ago
  • Determine the cumulative 15-year 18 kip ESAL’s in the design lane for 2-lane highway for the...
    asked 30 minutes ago
  • Q: Dr.Grimace, the evil dentist, is trying to find out if his patients suffer from periodontal...
    asked 30 minutes ago
  • After collecting data on 19283 dogs, you find that male vallhunds have an average weight of...
    asked 32 minutes ago
  • Research Target Corporation and assess your satisfaction with the company you researched and make recommendations about...
    asked 33 minutes ago
  • Evidence suggests that 70% of FSU students like turtles. Suppose we randomly sampled 15 FSU students....
    asked 33 minutes ago
  • Ulrich challenges the appropriateness of the nearly universal symbolism of the spinning wheel as the marker...
    asked 34 minutes ago
  • Differential Equations: Please try to computer type, if not possible be clear and organize. Thank you...
    asked 34 minutes ago
  • In your opinion, what are the three (3) most important benefits an employer can give to...
    asked 40 minutes ago
  • In a test of the effectiveness of garlic for lowering​ cholesterol, 81 subjects were treated with...
    asked 43 minutes ago