A paper investigated the driving behavior of teenagers by observing their vehicl

Question

A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately

mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers.

(a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use ?males ? ?females. Round your test statistic to two decimal places. Round your degrees of freedom to the nearest whole number. Round your p-value to three decimal places.)

1 2

Explanation / Answer

H0: mu(male) - mu(female) = 0

H1: mu(male) - mu(female) not equals to 0

x1(bar) = 1.46

x2(bar) = 0.64

s1 = 0.74

s2 = 0.44

n1 = 10

n2 = 10

SE = sqrt[ (s12/n1) + (s22/n2) ]

(s12/n1) = 0.0547

(s22/n2) = 0.0194

SE = 0.2722

df = 10 - 1 = 9

Test Statistics

t = (x1 - x2) / SE

t = (1.64 - 0.64)/0.2722

t = 3.0126

p-value = 0.0147

Given Data Sample 1 Sample 2 Name Male Female mean 1.46 0.64 Sample size 10 10 Std. dev. 0.74 0.44

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