In: Statistics and Probability
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.