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You are interested in whether the size of a company, as measured by the number of employees, differs between companies that offer pension plans and

You are interested in whether the size of a company, as measured by the number of employees, differs between companies that offer pension plans and those that don't. You select a random sample of 75 companies and obtain information about the number of employees and availability of a pension plan. You run a two-independent-samples t-test and find that there is not a statistically significant difference between the two types of companies (p = 0.237). A colleague of yours conducts a similar study. She polls 200 companies and finds a similar difference in the number of employees between the two types of companies. However, she claims that she found a significant difference (p = 0.002). Is this possible? Explain.

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