Question

In: Statistics and Probability

STAT 2023 Assignment 8 Fall 2019 due by 10pm on Monday, October 21 Estimation of the...

STAT 2023 Assignment 8 Fall 2019 due by 10pm on Monday, October 21 Estimation of the Population Mean, Lesson 13 Whitmore Farms sells theAmeraucana hens who lay light blue eggs. A random sample of 64 of these hens produced a mean standing height of 14.4 inches. The standard deviation of standing height of Ameraucana hens is known to be .8 inch. Use this information to answer the rest of the questions on this assignment. 1. What is the point estimate for the population mean, the expected height of all Ameraucana hens, based on this sample of 64 hens from whitmorefarm.com? 2. What is the standard error for the point estimate for the mean height of Ameraucana hens? 3. Construct a 90% confidence interval to estimate the mean standing height of Ameraucana hens based on this sample of 64 hens from whitmorefarm.com. 4. Construct a 95% confidence interval to estimate the mean standing height of Ameraucana hens based on this sample of 64 hens from whitmorefarm.com. 5. Construct a 99% confidence interval to estimate the mean standing height of Ameraucana hens based on this sample of 64 hens from whitmorefarm.com. 6. What was the Bound of Error associated with the 90% confidence interval to estimate the mean standing heights of Ameraucana hens that was calculated above? 7. What was the Bound of Error associated with the 95% confidence interval to estimate the mean standing heights of Ameraucana hens that was calculated above? 8. What was the Bound of Error associated with the 99% confidence interval to estimate the mean standing heights of Ameraucana hens that was calculated above? 9. Describe in a sentence the relationship between the bound of error and the width of a confidence interval. 10. Describe in a sentence how increasing the confidence level of the interval estimators affects the width of the intervals. 11. What does it mean to increase the confidence of a confidence interval?

Expert Solution

1. What is the point estimate for the population mean, the expected height of all Ameraucana hens, based on this sample of 64 hens from whitmorefarm.com?

Point estimate for the population mean = Sample mean = 14.4 inches

2. What is the standard error for the point estimate for the mean height of Ameraucana hens?

standard error for the point estimate for the mean height = = 0.8 / = 0.1

3. Construct a 90% confidence interval to estimate the mean standing height of Ameraucana hens based on this sample of 64 hens from whitmorefarm.com.

Since population standard deviation is known, we will use z statistic for the confidence interval.

z = 1.645 for 90% confidence interval.

Margin of error = z * Std error = 1.645 * 0.1 = 0.1645

90% confidence interval is,

(14.4 - 0.1645, 14.4 + 0.1645)

(14.2355 , 14.5645)

4. Construct a 95% confidence interval to estimate the mean standing height of Ameraucana hens based on this sample of 64 hens from whitmorefarm.com.

z = 1.96 for 90% confidence interval.

Margin of error = z * Std error = 1.96 * 0.1 = 0.196

95% confidence interval is,

(14.4 - 0.196, 14.4 + 0.196)

(14.204 , 14.596)

5. Construct a 99% confidence interval to estimate the mean standing height of Ameraucana hens based on this sample of 64 hens from whitmorefarm.com.

z = 2.576 for 90% confidence interval.

Margin of error = z * Std error = 2.576 * 0.1 = 0.2576

95% confidence interval is,

(14.4 - 0.2576, 14.4 + 0.2576)

(14.1424 , 14.6576)

6. What was the Bound of Error associated with the 90% confidence interval to estimate the mean standing heights of Ameraucana hens that was calculated above?

Bound of Error = Margin of error = 0.1645

7. What was the Bound of Error associated with the 95% confidence interval to estimate the mean standing heights of Ameraucana hens that was calculated above?

Bound of Error = Margin of error = 0.196

8. What was the Bound of Error associated with the 99% confidence interval to estimate the mean standing heights of Ameraucana hens that was calculated above?

Bound of Error = Margin of error = 0.2576

9. Describe in a sentence the relationship between the bound of error and the width of a confidence interval.

The width of a confidence interval is twice the bound of error.

10. Describe in a sentence how increasing the confidence level of the interval estimators affects the width of the intervals.

The width of a confidence interval increases with the confidence level.

11. What does it mean to increase the confidence of a confidence interval?

Increasing the confidence of a confidence interval is to estimate the population parameter with a higher confidence.

orchestra answered 1 year ago

CSE/EEE 230 Assignment 4 Fall 2019 Due Sept 30 (11:59PM) In this assignment, you are to...

CSE/EEE 230 Assignment 4 Fall 2019 Due Sept 30 (11:59PM) In this assignment, you are to complete a MIPS program so it will perform the required tasks. The main function of the code is provided. Do not change the code in the main function. There is a loop in the main function. You are to complete the program by writing two functions. Pay particular attention to the purpose of each function and how the parameters and return value are to...

CSCE 3600: Systems Programming Recitation Assignment 4 – Bash script Due: 06:00 PM on Monday October...

CSCE 3600: Systems Programming Recitation Assignment 4 – Bash script Due: 06:00 PM on Monday October 12 2020 DESCRIPTION: You need to write a bash script to compile and execute a C program. Please feel free to ask for assistance from your TA or fellow classmates, but make sure that you turn in your own work. Please note that you are writing bash scripts, not C programs, for this exercise. Write a bash script that accepts a C file name...

CS 238 – Assembly Language Programming Fall 2019 Assignment 1 (Due: September 10, 2019) Submission Instructions:...

CS 238 – Assembly Language Programming Fall 2019 Assignment 1 (Due: September 10, 2019) Submission Instructions: Online submissions on Blackboard are preferred. Feel free to edit this Word document to insert your answers. Multiple online submissions on Blackboard are allowed, but only the last online submission made by the midnight of September 10 will be graded. Alternatively, a paper submission is possible, but it needs to be done in class on September 10. 1. Data can be interpreted as required...

Assignment 1 (assessment worth 10%) Due Date Monday 8th May by 5pm GMT+8 [Submission will be...

Assignment 1 (assessment worth 10%) Due Date Monday 8th May by 5pm GMT+8 [Submission will be strictly observed. Make submission via Turnitin] Question 1 An Australian investor holds a one month long forward position on USD. The contract calls for the investor to buy USD 2 million in one month’s time at a delivery price of $1.4510 per USD. The current forward price for delivery in one month is F= $1.5225 per USD. Suppose the current interest rate interest is...

A. Grove Corporation issued Dh 720,000 of 8% bonds on October 1, 2016, due on October...

A. Grove Corporation issued Dh 720,000 of 8% bonds on October 1, 2016, due on October 1, 2021. The interest is to be paid twice a year on April 1 and October 1. The bonds were sold to yield 10% effective annual interest. Grove Corporation closes its books annually on December 31. Instructions Complete the following amortization schedule for the dates indicated. (Round all answers to the nearest dollar.) Use the effective-interest method. DebitCredit Credit Cash Interest Expense Bond Discount...

Sheffield Corp. issued $6,498,000 of 8% bonds on October 1, 2020, due on October 1, 2025....

Sheffield Corp. issued $6,498,000 of 8% bonds on October 1, 2020, due on October 1, 2025. The interest is to be paid twice a year on April 1 and October 1. The bonds were sold to yield 9% effective annual interest. Sheffield Corp. closes its books annually on December 31. Complete the following amortization schedule for the dates indicated. Use the effective-interest method. (Round answers to 0 decimal places, e.g. 5,275.) Date Cash Interest Expense Bond Discount Carrying Amount of...

Grove Corporation issued $2,400,000 of 8% bonds on October 1, 2012, due on October 1, 2017....

Grove Corporation issued $2,400,000 of 8% bonds on October 1, 2012, due on October 1, 2017. The interest is to be paid twice a year on April 1 and October 1. The bonds were sold to yield 10% effective annual interest. Grove Corporation closes its books annually on December 31. Instructions (a) Complete the following amortization schedule for the dates indicated. (Round all answers to the nearest dollar.) Use the effective-interest method. Debit Credit Carrying Amount Credit Cash Interest Expense Bond Discount ...

Officially, the UK is due to leave the EU on 31 October 2019. How the UK...

Officially, the UK is due to leave the EU on 31 October 2019. How the UK and the world could cope with it in business?

CSCE 3600: Systems Programming Recitation Assignment 3 – Sed and Gawk Due: 06:00 PM on Monday...

CSCE 3600: Systems Programming Recitation Assignment 3 – Sed and Gawk Due: 06:00 PM on Monday October 12 2020 DESCRIPTION: In this recitation assignment, you will just practice to run sed and gawk commands and record your work session into a file. In other words, just type and run commands specified in bold Consolas (except $ sign :) below on your terminal. Let’s start. First, open a terminal (bash) session. Issue the first command $ script FirsName_LastName_04.txt where FirsName_LastName_04.txt is...

ACCOUNTING 203 NAMES: EXAM #3 (CH.8) 75 PTS. DUE DATE: Monday, February 26, 8:30 AM ...

ACCOUNTING 203 NAMES: EXAM #3 (CH.8) 75 PTS. DUE DATE: Monday, February 26, 8:30 AM The Grilton Tire Company manufactures racing tires for bicycles. Grilton sells tires for $50 each. Grilton is planning for next year by developing a master budget by quarters. Grilton’s balance sheet for December 31, 2016 follows: PLEASE DO NOT ROUND !!!! GRILTON TIRE COMPANY Balance Sheet December 31, 2016 Assets Current Assets: Cash $ 39,000 Accounts Receivable 40,000 Raw Materials Inventory 2,400 Finished Goods...