Permutation formula
BMultinomial formula
CCombination formula
0.375
B0.5
C0.625
Suppose we take a random sample of 30 companies in an industry with 200 companies. We calculate the sample mean of the ratio of cash flow to total debt for the prior year. We find that this ratio is 23 percent. Subsequently, we learn that the population cash flow to total debt ratio (taking account of all 200 companies) is 26 percent. What is the explanation for the discrepancy between the sample mean of 23 percent and the population mean of 26 percent?
Sampling error.
BBias.
CA lack of consistency.
A population has a non-normal distribution with mean µ and variance σ2. The sampling distribution of the sample mean computed from samples of large size from that population will have:
the same distribution as the population distribution.
Bits mean approximately equal to the population mean.
Cits variance approximately equal to the population variance.
The null hypothesis is the condition a researcher hopes to support.
BThe alternative hypothesis is the proposition considered true without conclusive evidence to the contrary.
CThe alternative hypothesis exhausts all potential parameter values not accounted for by the null hypothesis.
Which of the following statements is correct with respect to the null hypothesis?
It is considered to be true unless the sample provides evidence showing it is false.
BIt can be stated as “not equal to” provided the alternative hypothesis is stated as “equal to.”
CIn a two-tailed test, it is rejected when evidence supports equality between the hypothesized value and population parameter.
A hypothesis test for a normally-distributed population at a 0.05 significance level implies a:
95% probability of rejecting a true null hypothesis.
B95% probability of a Type I error for a two-tailed test.
C5% critical value rejection region in a tail of the distribution for a one-tailed test.
When making a decision in investments involving a statistically significant result, the:
economic result should be presumed meaningful.
Bstatistical result should take priority over economic considerations.
Ceconomic logic for the future relevance of the result should be further explored.
An analyst tests the profitability of a trading strategy with the null hypothesis being that the average abnormal return before trading costs equals zero. The calculated t-statistic is 2.802, with critical values of ± 2.756 at significance level α = 0.01. After considering trading costs, the strategy’s return is near zero. The results are most likely:
statistically but not economically significant.
Beconomically but not statistically significant.
Cneither statistically nor economically significant.
Which of the following tests of a hypothesis concerning the population mean is most appropriate?
A z-test if the population variance is unknown and the sample is small
BA z-test if the population is normally distributed with a known variance
CA t-test if the population is non-normally distributed with unknown variance and a small sample
A pooled estimator is used when testing a hypothesis concerning the:
equality of the variances of two normally distributed populations.
Bdifference between the means of two at least approximately normally distributed populations with unknown but assumed equal variances.
Cdifference between the means of two at least approximately normally distributed populations with unknown and assumed unequal variances.
A fund manager reported a 2% mean quarterly return over the past ten years for its entire base of 250 client accounts that all follow the same investment strategy. A consultant employing the manager for 45 client accounts notes that their mean quarterly returns were 0.25% less over the same period. The consultant tests the hypothesis that the return disparity between the returns of his clients and the reported returns of the fund manager’s 250 client accounts are significantly different from zero. Assuming normally distributed populations with unknown population variances, the most appropriate test statistic is:
a paired comparisons t-test.
Ba t-test of the difference between the two population means.
Can approximate t-test of mean differences between the two populations.
A candlestick chart is similar to a bar chart except that the candlestick chart:
represents upward movements in price with X’s.
Balso graphically shows the range of the period’s highs and lows.
Chas a body that is light or dark depending on whether the security closed higher or lower than its open.
Sampling error is defined as:
an error that occurs when a sample of less than 30 elements is drawn.
Ban error that occurs during collection, recording, and tabulation of data.
Cthe difference between the value of a sample statistic and the value of the corresponding population parameter.
a t-test but not a z-test if returns for the composite are normall distributed.
Beither a t-test or a z-test if returns for the composite are normall distributed.
Ca t-test but not a z-test, regardless of the distribution of returns for the composite.
FRM考试分为两个级别,一级考试共100道单选题(4选1),考试时间4小时;二级考试共80道单选题(4选1),考试时间4小时。FRM考试采用全英文考试,较长的考试时间、较难的考试内容,对考生的脑力和体力都形成了巨大的压力。因此,坚持不懈的练习是FRM备考过程中必不可少的学习步骤。