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Assume the research question is, “Do the data indicate the mean differs from 120?” What is...

  1. Assume the research question is, “Do the data indicate the mean differs from 120?” What is the value of the Z test statistic if the population standard deviation is known to be 125 and the sample mean based on a sample of 625 observations is 135?
  2. College students carry more credit card debt on average than they did one decade ago. A consumer credit organization is studying the debt of college students. They collected credit information from 900 college students across the US. This sample yielded a mean debt of $2700. The population standard deviation is $300. What is the numerical value of the test statistic to test whether the mean amount of credit card debt for college students is $2745?
  3. With a test statistic of -4.5 in the above problem will the hypothesis that the mean is equal to $2745 be rejected at the 5% significance level?
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