2.12 b. 1.734 c. -1.740 d. 1.740 ANSWER: d -same process but now go to one tailed α=0.05 and dof = 17 4. Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (lower tail), a sample size of 10 at a .10 level of significance; t = a. 1.383 b.
TOPIC 8 Chi-Square goodness-of-fit test Problem 12.1 Use a chi-square goodness-of-fit to determine whether the observed frequencies are distributed the same as the expected frequencies (α = .05) Category | fo | fe | 1 | 53 | 68 | 2 | 37 | 42 | 3 | 32 | 33 | 4 | 28 | 22 | 5 | 18 | 10 | 6 | 15 | 8 | Step 1 Ho: The observed frequencies are distributed the same as the expected frequencies Ha: The observed frequencies are not distributed the same as the expected frequencies Step 2 df = k – m – 1 Step 3 α = 0.05 x 2 0.05, 5df = 11.0705 Step 4 Reject Ho if x 2 > 11.0705 Category | fo | fe | | 1 | 53 | 68 | | 2 | 37 | 42 | | 3 | 32 | 33 | | 4 | 28 | 22 | | 5 | 18 | 10 | | 6 | 15 | 8
I am somewhat confident with my answer because I used simulation process correctly to find the loss of revenue and also, I used random numbers for calculating this. There are some limitations with the simulation process. The first one is that the cumulative weeks will generally not add up to accurate 52 as in my work, the final cumulative week comes as 50.968 so this is not the revenue lost in exactly 1 year. Also, if we apply simulation again then we will get the different answer for revenue loss. Therefore, it is better to apply simulation a number of times and then take the average of all those
Table 3 (page 14), Descriptive Statistics, shows there is no discrepancies on the low or high side, which means that our statistics should be more true based on our findings. Table 4 (page 17), Confidence Interval Tables, shows that even though there is a variance between states in the incomes, the vast majority fall into a small variance, a few thousand dollars on either side. Table 5 (page 18), Hypothesis Testing, suggests the states have a smaller commute time than the mean of all of the states. Table 6 (page 19), a Regression Model, shows that the two charts show an 18% significance between the two. It therefore proves that commute time is not effected, as we believed, by commute time.
Are there asset classes that should be excluded or others that should be included? 9. Why might standard deviation NOT capture the risks of all asset classes? 10. Using the data from attachments 10-11 (provided below), compute the optimal portfolio allocations if the portfolio mean return objective is 6.4% with some constraints (all weights sum to 100%, weights on cash >= -50% and weights on all other asset classes >=0) and the investor wishes to minimize standard deviation.
The total risk score is 4.14, the greatest relative or standardized difference between pretest and 3 month outcomes. This t ratio has a statistical significance of 0.05 - the least acceptable value for statistical significance. Also the larger the t ratio, the smaller the observed p value and increased odds of being able to reject the null hypothesis. 3. Which t-ratio listed in Table 3 represents the smallest relative difference between the pretest and 3 months?
Quiz 2 1- When two events A and B are independent the intersection of the events can be found by multiplying the probabilities of the individual events. (5 pts) True 2- Based on a 15 observations shown below, determine the Q25%, median, Q75% and the mean. Based on your analyses, which direction the data is skewed (i.e. right or left or neither)? (5 pts) 25, 18, 32, 19, 42, 14, 36, 48, 30, 25, 18, 44, 51, 28, 36, 27, 39, 16 14, 16, 18, 18, 19, 25, 25, 27, 28, 30, 32, 36, 36, 39, 42, 44, 48, 51=548 Median = 29 28+30=58/2=29 Mean = 30.44 548/18=30.44 Q25= 20.50 Q75= 38.25 Skewed to the right 3-The following box plot is based on a recent study on daily charges for a hospital semiprivate room in Louisiana.
For what values of t will the null hypothesis not be rejected? a) To the left of -1.645 or to the right of 1.645 b) To the left of -1.345 or to the right of 1.345 c) Between -1.761 and 1.761 d) To the left of -1.282 or to the right of 1.282 QNT 561 Final Questions and Answers QNT 561 Final Exam 2. Which of the following is a characteristic of the F distribution? a) Normally distributed b) Negatively skewed c) Equal to the t-distribution d) Positively skewed 3. For a chi-square test involving a contingency table, suppose the null hypothesis is rejected.
AP Statistics Name _______________ 3/24/09 Wood/Myers Period _____ Test #12 (Chapter 13) Honor Pledge __________ Part I - Multiple Choice (Questions 1-10) – Circle the letter of the answer of your choice. 1. An SRS of size 100 is taken from a population having proportion 0.8 successes. An independent SRS of size 400 is taken from a population having proportion 0.5 successes. The sampling distribution for the difference in sample proportions has what standard deviation?
is biased, so we could make incorrect conclusions about model fit Detecting Heteroskedasticity: 1. Plot the regression residuals/errors, the “ehats,” or the squared residuals, the "ehats-squared", against the X variables (you should plot the residuals against each X variable separately to check which of the X variables might be a source of Heteroskedasticity). a. If Heteroskedasticity is not present, the variation in the ehats around (above and below) zero will be the same for all values of X. Figures 1a and 1b below are examples of residual plots when Heteroskedasticity is NOT present.