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A large car insurance company is conducting a study to see if male and female drivers have the same number of accidents, on average, or if ma drivers (who tend to be thought of as more aggressive drivers) have more. Data set on the number of accidents in the past 5 years is collected randomly selected drivers who are insured by this company. An analysis of results at a = 0.05 produced the following output (incomplete). t-Test: Two-Sample Assuming Equal Variances Male Female Mean 2.19 1.48 Variance 2.93 1.91 Observations 28 30 Pooled Variance 2.40 Hypothesized Mean Difference df t Stat P(T t) one-tail t Critical one-tail Male Female Mean 2.19 1.48 Variance 2.93 1.91 Observations 28 30 Pooled Variance 2.40 Hypothesized Mean Difference df t Stat P(T> t) one-tail t Critical one-tail P(T> t) two-tail 0.086 t Critical two-tail 2.003

A large car insurance company is conducting a study to see if male and female drivers have the same number of accidents, on average, or if ma drivers (who tend to be thought of as more aggressive drivers) have more. Data set on the number of accidents in the past 5 years is collected randomly selected drivers who are insured by this company. An analysis of results at a = 0.05 produced the following output (incomplete). t-Test: Two-Sample Assuming Equal Variances Male Female Mean 2.19 1.48 Variance 2.93 1.91 Observations 28 30 Pooled Variance 2.40 Hypothesized Mean Difference df t Stat P(T t) one-tail t Critical one-tail Male Female Mean 2.19 1.48 Variance 2.93 1.91 Observations 28 30 Pooled Variance 2.40 Hypothesized Mean Difference df t Stat P(T> t) one-tail t Critical one-tail P(T> t) two-tail 0.086 t Critical two-tail 2.003

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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A large car insurance company is conducting a study to see if male and female drivers have the same number of accidents, on average, or if ma drivers (who tend to be thought of as more aggressive drivers) have more. Data set on the number of accidents in the past 5 years is collected randomly selected drivers who are insured by this company. An analysis of results at a = 0.05 produced the following output (incomplete). t-Test: Two-Sample Assuming Equal Variances Male Female Mean 2.19 1.48 Variance 2.93 1.91 Observations 28 30 Pooled Variance 2.40 Hypothesized Mean Difference df t Stat P(T t) one-taiI t Critical one-tail Male Female Mean 2.19 1.48 Variance 2.93 1.91 Observations 28 30 Pooled Variance 2.40 Hypothesized Mean Difference df t Stat P(T> t) one-tail t Critical one-tail P(T> t) twvo-tail 0.086 t Critical two-tail 2.003
Transcribed Image Text:A large car insurance company is conducting a study to see if male and female drivers have the same number of accidents, on average, or if ma drivers (who tend to be thought of as more aggressive drivers) have more. Data set on the number of accidents in the past 5 years is collected randomly selected drivers who are insured by this company. An analysis of results at a = 0.05 produced the following output (incomplete). t-Test: Two-Sample Assuming Equal Variances Male Female Mean 2.19 1.48 Variance 2.93 1.91 Observations 28 30 Pooled Variance 2.40 Hypothesized Mean Difference df t Stat P(T t) one-taiI t Critical one-tail Male Female Mean 2.19 1.48 Variance 2.93 1.91 Observations 28 30 Pooled Variance 2.40 Hypothesized Mean Difference df t Stat P(T> t) one-tail t Critical one-tail P(T> t) twvo-tail 0.086 t Critical two-tail 2.003
Question 9 What are the appropriate null and alternative hypotheses? O Ho: 41 - 42 = 0 Hạ: 41 - s4a <0 where u is the population mean number of accidents for male drivers and u2 is the population mean number of accidents for female drivers O Ho: 41 - 12 = 0 Hạ: 41 – u2 #0 where Hi is the population mean number of accidents for male drivers and a is the population mean number of accidents for female drivers O Ho: 41 - 12 = 0 Hạ: J41 - a2 > 0 where u, is the population mean number of accidents for male drivers and uz is the population mean number of accidents for female drivers O Ho: 4L = A2 where u, is the population mean number of accidents for male drivers and uz is the population mean number of accidents for female drivers Question 10 Calculate the test statistic (assume equal variances), O 1.126 O 1.553 O 2317 O 1.744 Question 11 Determine the critical value for a one-tailed test. 43.346 4 1.673 O 2.003 24006 O 1.001 Question 12 What is the appropriate P-value for this test? 4 9.036 40043 2 0.172 O more than 0.086 2 Iess than O.086
Transcribed Image Text:Question 9 What are the appropriate null and alternative hypotheses? O Ho: 41 - 42 = 0 Hạ: 41 - s4a <0 where u is the population mean number of accidents for male drivers and u2 is the population mean number of accidents for female drivers O Ho: 41 - 12 = 0 Hạ: 41 – u2 #0 where Hi is the population mean number of accidents for male drivers and a is the population mean number of accidents for female drivers O Ho: 41 - 12 = 0 Hạ: J41 - a2 > 0 where u, is the population mean number of accidents for male drivers and uz is the population mean number of accidents for female drivers O Ho: 4L = A2 where u, is the population mean number of accidents for male drivers and uz is the population mean number of accidents for female drivers Question 10 Calculate the test statistic (assume equal variances), O 1.126 O 1.553 O 2317 O 1.744 Question 11 Determine the critical value for a one-tailed test. 43.346 4 1.673 O 2.003 24006 O 1.001 Question 12 What is the appropriate P-value for this test? 4 9.036 40043 2 0.172 O more than 0.086 2 Iess than O.086
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