Are women happier than men? A StatCrunch survey asked respondents to select a number from 1 (lowest)
Question:
a. The histogram shows the results of 1000 randomizations of the data.
In each randomization, 297 observations from the combined data were randomly marked "female," and the rest were randomly marked "male." We calculated the mean difference in happiness between these two randomly determined groups. Note that the distribution is centered at about 0, just as it should be, since we carried out the randomiza tion in such a way that the null hypothesis is true. The red line shows the observed sample mean difference in happiness for the women minus the happiness for the men. From the graph, does it look like the observed mean difference is unusual for this data set? Explain.
b. The software output estimates the probability of having an observed difference of 4.07 or more. (See the output column labeled "Proportion = 7 Observed"). Where does the value of 4.07 (or 4.0718) come from?
c. State the p-value.
d. Using a significance level of 0.05, can we reject the null hypothesis that the means are equal and so conclude that women StatCrunch users tend to be happier than men StatCrunch users? (Assume the sample was randomly selected from the population of all StatCrunch users.)
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Related Book For
Introductory Statistics Exploring The World Through Data
ISBN: 9780321978271
2nd Edition
Authors: Robert Gould, Colleen Ryan
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