Question: 1.For the following problems, select the best response. (a) The Bureau of Labor Statistics announces that last month it interviewed all members of the labor
1.For the following problems, select the best response.
(a) The Bureau of Labor Statistics announces that last month it interviewed all members of the labor force in a sample of 60000 households;4.9%of the people interviewed were unemployed. The boldface number is a
A.statistic.
B.sampling distribution.
C.parameter.
D.None of the above.
(b) A study of voting chose 663 registered voters at random shortly after an election. Of these, 72% said they had voted in the election. Election records show that only56%of registered voters voted in the election. The boldface number is a
A.parameter.
B.statistic.
C.sampling distribution.
D.None of the above.
(c) Annual returns on the more than 5000 common stocks available to investors vary a lot. In a recent year, the mean return was 8.3% and the standard deviation of return was 28.5%. The law of large numbers says that
A.you can get an average return higher than the mean 8.3% by investing in a large number of stocks.
B.if you invest in a large number of stocks chosen at random, your average return will have approximately a Normal distribution.
C.as you invest in more and more stocks chosen at random that year, your average return on these stocks gets ever closer to 8.3%.
D.None of the above.
2. For each problem, select the best response.
(a) The alternative hypothesis for an ANOVAFtest is that
A.none of the population means are equal.
B.all of the population variances are not equal.
C.at least two of the population means are not equal.
D.none of the population variances are equal.
E.all of the population means are not equal.
(b) The null hypothesis for an ANOVAFtest is that
A.population standard deviations are not equal.
B.population means are equal.
C.sample means are equal.
D.sample sizes are equal.
E.sample standard deviations are not equal.
(c) An ANOVAFtest is most appropriate when the
A.standard deviations are not equal.
B.data are quantitative.
C.standard deviations must be estimated.
D.number of samples is two.
E.samples sizes are equal.
3. An experiment is conducted to determine whether there is a difference among the mean increases in growth produced by five strains (A, B, C, D and E) of growth hormones for plants. The experimental material consists of 20 cuttings of a shrub (all of equal weight), with four cuttings randomly assigned to each of the five different strains. The increases in weight for each cutting along with the sample mean and sample standard deviation of each group are given in the table below.
A B C D E
Plant 1 10 15 20 12 6
Plant 2 9 22 23 10 9
Plant 3 10 15 22 12 14
Plant 4 14 28 24 11 7
x
43 80 89 45 36
x2
477 1718 1989 509 362
Compute the following:
(a) SST=
(b) SSE=
(c) MST=
(d) MSE=
(e) F=
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