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You notice at the gym that it appears more women tend to work out together, whereas more men tend to work out alone. To examine whether this difference is significant, you collect data on the workout preferences for a sample of men and women at your gym. The data follows.
Males
Females
Together
5
8
Alone
7
6
a. What statistical test should be used to examine the data?
b. Identify H0 and Ha for this study
c. Conduct the appropriate analysis.
d. ShouldH0 be rejected? What should the researcher conclude?
Use Lagrange interpolation to estimate f(3), given that f(1) = 1, f(4) = -3, f(2) = 0 and f(-1) = 3.
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