The Comrades committee decided to investigate the age (in years) of male and female runners. The descriptive statistics obtained from the two independent samples are recorded in the table below. Male runners Female runners Sample Size ni = 12 n2 = 15 Sample Mean 1 = 35.08 ã2 = 30 Sample Standard s1 = 7.937 82 = 5.503 Deviation Research question: The Comrades committee would like to investigate whether the average age of male and female runners differ significantly from each other at an a = 0.1 level of significance. Let: Hi = average age of male Comrades runners H2 = average age of female Comrades runners Given: The age of the male and female runners are normally distributed with unequal variances. Under the null hypothesis, the test statistic has at distribution with 18 degrees of freedom, i.e. t - t18.

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a)
The point estimate of (u1 - 12) is:
Round your answer to 2 decimal places.
If we can draw the conclusion that, on average, the male runners are older than the female runners, then we can also conclude that (u1 - µ2) is
significantly:
O different from 5.08
O less than 0
O less than 5.08
more than 0
O more than 5.08
O different from 0
Transcribed Image Text:a) The point estimate of (u1 - 12) is: Round your answer to 2 decimal places. If we can draw the conclusion that, on average, the male runners are older than the female runners, then we can also conclude that (u1 - µ2) is significantly: O different from 5.08 O less than 0 O less than 5.08 more than 0 O more than 5.08 O different from 0
The Comrades committee decided to investigate the age (in years) of male and female runners. The descriptive statistics obtained from the two
independent samples are recorded in the table below.
Male runners
Female runners
Sample Size
nį = 12
n2 = 15
Sample Mean
a = 35.08
*2 = 30
Sample Standard
s1 = 7.937
82 = 5.503
Deviation
Research question:
The Comrades committee would like to investigate whether the average age of male and female runners differ significantly from each other at an
a = 0.1 level of significance.
Let:
Hi = average age of male Comrades runners
l2 = average age of female Comrades runners
Given:
The age of the male and female runners are normally distributed with unequal variances.
t18-
Under the null hypothesis, the test statistic has at distribution with 18 degrees of freedom, i.e. t ~
Transcribed Image Text:The Comrades committee decided to investigate the age (in years) of male and female runners. The descriptive statistics obtained from the two independent samples are recorded in the table below. Male runners Female runners Sample Size nį = 12 n2 = 15 Sample Mean a = 35.08 *2 = 30 Sample Standard s1 = 7.937 82 = 5.503 Deviation Research question: The Comrades committee would like to investigate whether the average age of male and female runners differ significantly from each other at an a = 0.1 level of significance. Let: Hi = average age of male Comrades runners l2 = average age of female Comrades runners Given: The age of the male and female runners are normally distributed with unequal variances. t18- Under the null hypothesis, the test statistic has at distribution with 18 degrees of freedom, i.e. t ~
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