Random samples of size 5, 20, and 80 are drawn from a population with a mean of 100 and a standard deviation of 15 a Give the mean of the sampling distribution of y for each of the three sample sizes b Give the standard deviation of the sampling distribution of y for each of the three sample sizes c Based on the results obtained in parts (a) and (b), what do you conclude about the accuracy of using the sample mean y as an estimate of population mean

Question: Random samples of size 5, 20, and 80 are drawn from a population with a mean of = 100 and a standard deviation of

Random samples of size 5, 20, and 80 are drawn from a population with a mean of μ = 100 and a standard deviation of σ = 15.
a. Give the mean of the sampling of y for each of the three sample sizes.
b. Give the standard deviation of the sampling of y for each of the three sample sizes.
c. Based on the results obtained in parts (a) and (b), what do you conclude about the accuracy of using the sample mean y as an estimate of population mean μ?

Step by Step Solution

★★★★★

3.48 Rating (178 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The mean of the sampling distribution of ybar is 100 for each of the sample sizes o... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

595-M-S-P (4209).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

1. Complete a vertical and horizontal analysis on the tabs labeled "Balance Sheet" and "Income Statement," use total assets on the balance sheet and net sales on the income statement for your...

How many different simple random samples of size 5 can be obtained from a population whose size is 50?

Random samples of size n=25 are taken from a normally distributed population with mean =20 and standard deviation =10. a. Construct the centerline and the upper and lower control limits for the x...

Random samples of size n=36 are taken from a population with mean =150 and standard deviation = 42. a. Construct the centerline and the upper and lower control limits for the x chart. b. Suppose...

4. The life spans of trucks manufactured by company A are normally distributed with a mean of 10 years and variance of 25 years. [40 Marks] a) What is the probability that a random truck bought from...

(Computer project) Use the = RAND( ) function in your spreadsheet to create 100 samples of size 25 (which are effectively all from the same population). Compute the mean and standard deviation of...

Use the = RAND( ) function in your spreadsheet to create 100 samples of size 25 (which are effectively all from the same population). Compute the mean and standard deviation of each sample. Calculate...

5.27 (Computer project) Use the = RAND( ) function in your spreadsheet to create 100 samples of size 25 (which are effectively all from the same population). Compute the mean and standard deviation...

A relay microchip in a telecommunications selite sa le expectancy that follows a normal distribution with a mean of months and a standard deviation of mois. When the computer relay microche...

8. (9 points) A very large number of random samples of size 5, 100, and 1000 are drawn from a single population that has a mean u = 150 and a standard deviation of o = 15. a. Give the mean of the...

Random samples of size 64 are drawn from the population in Example 2. Find the mean and standard deviation of the sampling distribution of sample means. Then sketch a graph of the sampling...

The CSF flows through the: a. Dura mater b. Choroid plexus c. Pia mater d. Arachnoid space

The Carroltons are deliberating whether to purchase a house or continue to rent for the next 10 years. They are assured by both of their employers that no transfers to new locations will occur for at...

1 . 4 6 x 1 0 ^ 1 3 meters to tetrameter

Beta Companys net income for the year is $4 million and the number of common shares out-standing is 3 million (there is no change in shares outstanding during the year). Beta has options and warrants...

The financial data below should be used to answer the following two questions. WRESTLING FEDERATION OF AMERICA, INC. Capital Structure and Earnings for Year 7 Number of common shares outstanding on...

For the 2010-2011 viewing season, the top five syndicated programs were Wheel of Fortune (wof), Two and Half Men (THM), Jeopardy (Jep), Judge Judy (JJ), and the Oprah Winfrey Show (OwS) (Nielsen...

Disk City, Inc. is a retailer for digital video disks. The projected net income for the current year is $200,000 based on a sales volume of 200,000 video disks. Disk City has been selling the disks...

Morton Company's contribution format income statement for last month is given below: Sales (15,000 units $30 per unit) . . . . . . . . . $450,000 Variable expenses . . . . . . . . . . . . . . . . ....

How much freedom should there be online? Why?

The following data represent the afternoon high temperatures for 50 construction days during a year in St.Louis. a. Construct a frequency distribution for the data using five class intervals. b....

A packaging process is supposed to ll small boxes of raisins with approximately 50 raisins so that each box will weigh the same. However, the number of raisins in each box will vary. Suppose 100...

The owner of a fast-food restaurant ascertains the ages of a sample of customers. From these data, the owner constructs the frequency distribution shown. For each class interval of the frequency...

Based on the following data, determine a reasonable valuation that YOU as an investor would place on a company in issuing a term sheet to make an investment in that company. Note that all amounts...

Consider the following information: Rate of Return if State Occurs Probability of State State of Economy of Economy Stock A Stock B Recession .20 .05 -.18 Normal .55 .08 11 Boom .25 13 .28 a....

Calculate cash balance at the end of the year Cash Balance at Beginning of Year___________ $80,000 Activity During the Year_________________________________ Increase in accounts...