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Mathematics, 13.02.2020 23:53 21ghostrider21

A. A researcher reads that in the population of US students, the average income of students is $1500. In a random sample of 300 students, he finds that the mean monthly income is $1,445 with a standard deviation of $530. Conduct a one-tailed t-test to see if the mean in his sample is significantly (p<.05) lower than the population mean. What is the value of "t" that you find?

B. In the previous question, there were 300 respondents. Look at the t-test table in your book. If the t-score that was calculated was between 1.7 and 1.9, would you be able to reject the null hypothesis (p<.05) that the means of the sample and the population are the same? [Note: Because we have a prediction (that the sample might be less than the population) we use a one-tailed test.]

c. In the previous example, could you reject the null hypothesis with 99% confidence?

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