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Perform the Required Hypothesis Test for Two Population Standard Deviations  Men: 72,60,52,87,66,74,95,50,81,70,72 Women: 70,78,62,96,75,68,41,74,80,47,73,94,65\begin{array} { l l } \text { Men: } & 72,60,52,87,66,74,95,50,81,70,72 \\ \text { Women: } & 70,78,62,96,75,68,41,74,80,47,73,94,65 \end{array}

question 49

Essay

Perform the required hypothesis test for two population standard deviations. Assume that independent samples havebeen randomly selected from the two populations and that the variable under consideration is normally distributed onboth populations. Use the critical-value approach.
-A researcher is interested in comparing the amount of variation in women's scores on a certain test with the amount of variation in men's scores on the same test. Random samples of 11 men and 13 women yielded the following scores:  Men: 72,60,52,87,66,74,95,50,81,70,72 Women: 70,78,62,96,75,68,41,74,80,47,73,94,65\begin{array} { l l } \text { Men: } & 72,60,52,87,66,74,95,50,81,70,72 \\ \text { Women: } & 70,78,62,96,75,68,41,74,80,47,73,94,65 \end{array} Do the data provide sufficient evidence to conclude that there is less variation in men's scores than in women's scores? Perform an F-test at the 5% significance level. (Note: s1=13.754 and s2=15.588)\left. \mathrm { s } _ { 1 } = 13.754 \text { and } \mathrm { s } _ { 2 } = 15.588 \right)

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Definitions:

Amortized

A process of paying off debt in regular installments over a period of time, where each payment is partially principal and partially interest.

Compounded Semi-annually

Refers to the process of calculating interest on both the initial principal and the accumulated interest from previous periods twice a year.

Amortization Schedule

A table detailing each periodic payment on an amortizing loan (typically a mortgage), as well as how much of each payment is interest versus principal and the balance remaining after each payment.

Compounded Semi-annually

Interest calculation method where interest is added to the principal sum of a loan or deposit twice a year, resulting in interest earning interest.

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