Perform the Indicated Hypothesis Test $$\mathrm { s } _ { 1 }$$

question 47

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 study was conducted to determine if the variances of elementary school teacher salaries from two
neighboring districts were equal. A sample of 25 teachers from each district was selected. The first district had
a standard deviation of $$\mathrm { s } _ { 1 }$$ = $4830, and the second district had a standard deviation $$s _ { 2 }$$ = $4410. Test the claim
that the variances of the salaries from both districts are equal. Use $$\alpha = 0.05$$

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Definitions:

Collagen Fibers

Strong, flexible proteins found in connective tissues, such as skin, tendons, and ligaments, providing structural support.

Synovial Joints

Joints that are surrounded by a fluid-filled capsule, allowing for smooth movement between connected bones.

Syndesmosis

A type of fibrous joint in which bones are joined together by a ligament or a membrane, allowing for minimal movement.

Gomphosis

A type of fibrous joint where a peg-like structure fits into a socket, such as a tooth in the jawbone.