b) Calculate the value of the test statistic. Round your answer to 4 decimal places. Submit part c) Decision and conclusion: The Comrades committee will reject the null hypothesis if t < or ift 2 and consequently make the conclusion that the average age of males and females significantly from each other. Submit part d) A 90% confidence interval to support this decision is

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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
n1 = 12
n2 = 15
Sample Mean
*1 = 35.08
ã2 = 30
Sample Standard
81 = 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:
µi = 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.
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 n1 = 12 n2 = 15 Sample Mean *1 = 35.08 ã2 = 30 Sample Standard 81 = 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: µi = 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.
b)
Calculate the value of the test statistic.
Round your answer to 4 decimal places.
Submit part
c)
Decision and conclusion:
The Comrades committee will reject the null hypothesis if t <
or ift >
and consequently make the conclusion that the average
age of males and females
significantly from each other.
Submit part
d)
A 90% confidence interval to support this decision is
Transcribed Image Text:b) Calculate the value of the test statistic. Round your answer to 4 decimal places. Submit part c) Decision and conclusion: The Comrades committee will reject the null hypothesis if t < or ift > and consequently make the conclusion that the average age of males and females significantly from each other. Submit part d) A 90% confidence interval to support this decision is
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