1) A group of researchers are interested in determining whether twins have the s

Question

1) A group of researchers are interested in determining whether twins have the same or different hourly wages. The twin wage dataset contains hourly wage data from a set of 149 pairs of twins.

a) Write the null and alternative hypothesis?

b) Indicate what the parameter(s) represent?

2) When compared to a paired t-test, the Wilcoxon Signed Rank test loses information because it only takes into account the relative magnitude of the differences (i.e. their ranks), not the actual values of the differences.

True

False

Please have it done as soon as possible, thanks!

Explanation / Answer

Sol:

1A)

Given

contains hourly wage data of 149 pairs

we can find the sample mean which is the best estimator for population mean.

Null Hypothesis:

Ho: 1 =2

means are same

Alternative Hypothesis:

H1:1 2

means are different

b) Indicate what the parameter(s) represent?

parameter is population mean

Solution2:

TRUE

Wilcoxson signed rank test is equivalent to paired t test.

Gives ranks from lowest to highest.

If any differences are equal,then average their ranks.

count all the ranks of positive differences -T

count all the ranks of negative differences --T-

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