Question: Construct a Confidence Interval with given the sample mean and the sample standard deviation. Assume the population is normally distributed and use the t-distribution to

Construct a Confidence Interval with given the sample mean and the sample standard deviation. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean.Interpret the results.

a) In a random sample of five people, the mean driving distance to work was 22.2 miles and the standard deviation was 5.8 miles.

b) You research driving distances to work and find thatthe population standard deviation is 5.2 miles. Repeat a) using the standard normal distribution with the appropriate calculations for a standard deviation that is known.Compare the results.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

You are given the sample mean and the sample standard deviation. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence...

You are given the sample mean and the sample standard deviation. Assume the population is normally distributed and use the T distribution define margin of error and construct a 95% confidence...

Assume that population mean is to be estimated from the sample described. Use the sample results to approximate the margin of error and 95% confidence interval. Sample size, n=100; sample mean,...

Assume that population mean is to be estimated from the sample described. Use the sample results to approximate the margin of error and 95% confidence interval. Sample size, n=64; sample mean, x=67.0...

Homework: Week 14 Chapter 6 Question 20, 6.3.19-T HW Score: 81.25%, 16.25 of 20 points Part 2 of 3 Score: 0.33 of 1 Save A researcher wishes to estimate, with 90% confidence, the population...

Part 1 of 4 Score: 0 of 1 You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean....

GENERAL JOURNAL ENTRIES Sengel Moon opened The Bike Doctor. Journalize the following transactions that occurred during the month of October of the current year. Use the following journal pages:...

Describe a consultative selling sales presentation that you experienced recently. How could it have been improved by fuller use of the AIDA framework?

The Doyle Trust reports distributable net income of $ 1 0 0 , 0 0 0 for the year and no income from tax - exeempt $ 0 urces. thider the terms of the trust instrument, the trustec must tistribute $ 3...

A company is preparing completing their Cash Budget. The following data has been prepared for cash receipts and payments. January February March Cash receipts $1,061,200 $1,182,400 $1,091,700 Cash...