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Question 1. A sample of 81 observations is taken from a normal population with a standard deviation of 6. The sample mean is 41. Determine the 99% confidence interval for the population mean. Question 2. Ms. Maria Wilson is considering running for mayor of Bear Gulch, Montana. Before completing the petitions, she decides to conduct a survey of voters in Bear Gulch. A sample of 300 voters reveals that 200 would support her in the November election. Develop a 90% confidence interval for the population proportion. Question 3. A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will reduce these accidents. The county commissioners have agreed to a proposed experiment. Eight intersections were chosen at random, and the lights at those intersections were modified. The numbers of minor accidents during a six-month period before and after the modifications were: Intersection # Accidents Before Modification # Accidents After Modification 4 7 3

Question 1. A sample of 81 observations is taken from a normal population with a standard deviation of 6. The sample mean is 41. Determine the 99% confidence interval for the population mean. Question 2. Ms. Maria Wilson is considering running for mayor of Bear Gulch, Montana. Before completing the petitions, she decides to conduct a survey of voters in Bear Gulch. A sample of 300 voters reveals that 200 would support her in the November election. Develop a 90% confidence interval for the population proportion. Question 3. A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will reduce these accidents. The county commissioners have agreed to a proposed experiment. Eight intersections were chosen at random, and the lights at those intersections were modified. The numbers of minor accidents during a six-month period before and after the modifications were: Intersection # Accidents Before Modification # Accidents After Modification 4 7 3

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 1. A sample of 81 observations is taken from a normal population with a standard deviation of 6. The sample mean is 41. Determine the 99% confidence interval for the population mean. Question 2. Ms. Maria Wilson is considering running for mayor of Bear Gulch, Montana. Before completing the petitions, she decides to conduct a survey of voters in Bear Gulch. A sample of 300 voters reveals that 200 would support her in the November election. Develop a 90% confidence interval for the population proportion. Question 3. A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will reduce these accidents. The county commissioners have agreed to a proposed experiment. Eight intersections were chosen at random, and the lights at those intersections were modified. The numbers of minor accidents during a six-month period before and after the modifications were: Intersection # Accidents Before Modification # Accidents After Modification A 5 4 B 7 3 C 6 5 D 5 5 E 6 3 F 8 7 G 7 5 H 9 8 At the .01 significance level, is it reasonable to conclude that the modification reduced the number of traffic accidents? (Note: There is a sir-step procedure that systematizes hypothesis testing, You have to show all the steps as it is given in your book. (be careful with every step and don't end up with ZERO mark)) Question 4. Item prices and the amounts used for 1990 and 2020 are below. Use 1990 as the base. Item Price (1990 ) Quantity (1990) Price (2020) Quantity (2020) Aluminum (cents per pound) Natural gas (1,000 cu. ft.) Petroleum (barrel) 0.30 1000 0.80 2000 0.20 5000 1.40 8000 3.20 2000 4.20 4000
Transcribed Image Text:Question 1. A sample of 81 observations is taken from a normal population with a standard deviation of 6. The sample mean is 41. Determine the 99% confidence interval for the population mean. Question 2. Ms. Maria Wilson is considering running for mayor of Bear Gulch, Montana. Before completing the petitions, she decides to conduct a survey of voters in Bear Gulch. A sample of 300 voters reveals that 200 would support her in the November election. Develop a 90% confidence interval for the population proportion. Question 3. A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will reduce these accidents. The county commissioners have agreed to a proposed experiment. Eight intersections were chosen at random, and the lights at those intersections were modified. The numbers of minor accidents during a six-month period before and after the modifications were: Intersection # Accidents Before Modification # Accidents After Modification A 5 4 B 7 3 C 6 5 D 5 5 E 6 3 F 8 7 G 7 5 H 9 8 At the .01 significance level, is it reasonable to conclude that the modification reduced the number of traffic accidents? (Note: There is a sir-step procedure that systematizes hypothesis testing, You have to show all the steps as it is given in your book. (be careful with every step and don't end up with ZERO mark)) Question 4. Item prices and the amounts used for 1990 and 2020 are below. Use 1990 as the base. Item Price (1990 ) Quantity (1990) Price (2020) Quantity (2020) Aluminum (cents per pound) Natural gas (1,000 cu. ft.) Petroleum (barrel) 0.30 1000 0.80 2000 0.20 5000 1.40 8000 3.20 2000 4.20 4000
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