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Question;PART 1: Confidence Intervals (#1 ? 3);1) To estimate the;mean size of maple trees in a certain area of the Adirondacks. A sample of 12;maple tree heights is collected. (Assume that the population of tree heights is;normally distributed);39;38;44;37;54;45;50;28;49;37;46;41;a) Create a 95% confidence interval for the population;mean of maple tree;heights. b) Create a 98% confidence interval for the population;mean of maple tree;heights.;2) Suppose a;simple random sample of 20,000 Americans were surveyed and 8,600 of them said;they have blue colored eyes.;a) Create a 90% confidence interval estimator;for the population proportion of Americans that have blue colored eyes.;What;is the minimum sample size that would be required to estimate the population?s;proportion b) Create a 98% confidence interval for the population;mean of maple tree with an error of.025 at a 95% level of confidence?;(Note: assume we have a preliminary estimate of);3) Estimating Fuel;Efficiency;a) In order to;determine the fuel efficiency for the Toyota Corolla a SRS of 36 Corollas were;driven yielding a sample mean of 34.3 miles per gallon and a sample standard;deviation of 2.4 miles per gallon create a 99% confidence interval estimate for;the population mean miles per gallon for the Toyota Corolla.b) What is the minimum sample size that would be required to;estimate the population?s mean with an error of 0.1 miles per gallon at a 90%;level of confidence? (Assumes = 2.4);PART 2: Hypothesis Testing (#4 ? 6);For each of;the questions of Part 2 you MUST show each of the four steps below to obtain;full credit;A) State the null and alternate hypothesis.;B) Determine the rejection region (use either;classical approach or p value approach).;For;example ?if, then reject ? or ?if, then reject ?;C) Calculate the Test Statistic and determine the;p-value of the test.;D) Conclude either ?Reject ? or ?Do not reject?;You must show work to obtain;credit. Each question will also have a YES/NO;option. Please circle the choice that answers the question correctly based on;your analysis.;4) A Tire Company has created a new type;of rubber that they believe could increase the tread life of their tires. In;the past the population mean tread life of their tires was 50,000 miles. To;test this hypothesis, a SRS of 30 tires were tested that had a sample mean;tread life of 50,480 miles and a sample standard deviation of 1,200 miles.;Does this sample provide;sufficient evidence to suggest that the new rubber has increased mean tread;life at the 5% Significance Level? (Circle either Yes or No).;YES NO;Please show the four steps of your;analysis in the space provided below?the past the population mean tread life;of their tires was 50,000 miles. To test this hypothesis, a SRS of 30 tires;were tested that had a sample mean tread life of 50,480 miles and a sample;standard deviation of 1,200 miles.;Does this sample provide;sufficient evidence to suggest that the new rubber has increased mean tread;life at the 5% Significance Level? (Circle either Yes or No).;YES NO;Please show the four steps of your;analysis in the space provided below?;5) The National Center for Health Statistics reports that the population;mean systolic blood pressure for males 35 to 44 years of age is exactly 130.;The medical director of a large company believes that the executives at her;company are different from the population. To gather evidence, she collects a;SRS of 11 medical records of male executives in this age group. (Assume that;the population of systolic blood pressures is normally distributed);130;134;143;133;136;132;144;134;129;128;148;Does the data suggest that the;average blood pressure of male executives is different from the population mean;at the 1% significance level? (Circle either Yes or No).YES NO;Please;show the four steps of your analysis in the space provided below?;6) It is;believed that less than 50% of American adults eat breakfast every day. To test;this claim a researcher surveys SRS of 850 American adults where 400 of them;said that they ate breakfast every day.;Does;this sample evidence suggest that less than 50% of American adults eat;breakfast everyday at the 10% significance level? (Circle either Yes or No).;YES NO;Please show;the four steps of your analysis in the space provided below?

 

Paper#61160 | Written in 18-Jul-2015

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