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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
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

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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