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In: Statistics and Probability

A student group started a class project that needs to compare the ages of male and...

A student group started a class project that needs to compare the ages of male and female prisoners. The following are the ages (in years) of randomly selected male and female prisoners in a certain federal prison. Is there sufficient evidence to conclude the difference in the means (average age) is statistically significant? use 5% (α = 0.05) significance level.

Male prisoners: 29, 25, 17, 36, 41, 25, 32, 29, 38, 34, 24, 27, 29.

Female prisners: 41, 41, 37, 29, 30, 38, 39, 10, 29, 55, 29.

a) Write the null hypothesis and alternative hypothesis to test the above claim.

b) What is the value of the test statistic?

c) What is the degrees of freedom of the t distribution of the test statistic?

d) What is the p-value?

e) Write your conclusion and express in terms of the evidence for the indicated calim.

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