Perform the Indicated Hypothesis Test $$\alpha = 0.01 .$$

question 19

Essay

Perform the indicated hypothesis test. Be sure to do the following: identify the claim and state the null and alternative
hypotheses. Determine the critical value and rejection region. Calculate the test statistic. Decide to reject or to fail to
reject the null hypothesis and interpret the decision in the context of the original claim. Assume that the samples are
independent and that each population has a normal distribution.
-A random sample of 21 women had blood pressure levels with a variance of 553.6. A random sample of 18 men
had blood pressure levels with a variance of 368.64. Test the claim that the blood pressure levels for women
have a larger variance than those for men. Use $$\alpha = 0.01 .$$

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Definitions:

Down Payment

An initial upfront portion of the total amount due, often associated with the purchase of expensive goods like homes or cars, which is paid at the time of the sale.

Term Deposit

A deposit at a financial institution that has a fixed term and typically offers a higher interest rate than a regular savings account.

Simple Interest

A method of calculating interest where the charge is based on the original principal amount alone, without compounding.

Interest

Interest is the cost of borrowing money, typically expressed as a percentage of the principal amount.