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Perform the Indicated Hypothesis Test s1\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 s1\mathrm { s } _ { 1 } = $4830, and the second district had a standard deviation s2s _ { 2 } = $4410. Test the claim
that the variances of the salaries from both districts are equal. Use α=0.05\alpha = 0.05


Definitions:

Competition Elimination

The process or strategy of removing or reducing competitors in a market to gain greater market share, either through business practices, mergers, or acquisitions.

Price Discrimination

A pricing strategy where a company charges different prices for the same product or service in different markets or segments, based not on costs but on customers' ability to pay or willingness to pay.

Cost Differences

Variations in the expense of production or procurement that occur between firms, industries, or geographic locations.

Selling Product

The process involved in promoting and transferring ownership of a product from seller to buyer.

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