During the Fall semester of 1999 at Penn State University, one brave researcher defied conventional wisdom and asked a sample of college women how much they weighed. Actual weights (in pounds) were reported by 119 women (n = 119). The researcher also asked each woman, "What is your ideal weight?" The data set idealwt.jasp includes these self-reported actual weights and ideal weights. The researcher suspects that, on average, actual weights and ideal weights differ for the population of college women. Let = .05.

Questions:

3. Which statistical test is most appropriate to answer this research question: one sample t-test, independent samples t-test, or paired t-test?

4. The parameter of interest is the population mean difference in weight, where the difference is defined by actual weight - ideal weight.

What is the null hypothesis for this test?

What is the alternative hypothesis for this test?

Is this a one-sided test or a two-sided test?