1. The following table is based on a random sample conducted of high school seniors and their parents by Jennings and Niemi, in which they explore the party identification of parents and their children.

Student Party Identification

1. What is the percentage of students who share the same party identification as their parents? (Show the computation.)
2. What percentage of Democrat parents have Republican children?
3. Based on these data, can we say if the relationship is causal? Explain your answer.
4. Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Would we be correct in inferring that such a relationship also exists in the population? Explain your answer. What is the probability that any relationship we found is due to pure chance?

1. A recent poll asked people whether they supported passing a constitutional amendment to ban burning of the national flag using a 1 to 100 scale.”1” means that they do not support passing the amendment at all and “100” means they support it completely. The sample was random (from the population of US adults) and included 986 people, 400 of whom were women, and 586 were men. The mean score for women was 80.6, while the mean score for men was 77.6.

1. Is the difference in means test statistically significant at the 5% level? Assume the standard deviation for both men and women is 3.5. Show your work.
2. If the standard deviation for men is 1.4 and the standard deviation for women is 1.2, is the difference in means statistically significant at the 5% level? Show your work.

2- Why are large sample sizes usually better for making inferences about populations? Explain your answer (on the rest of this page).

1. Contracts for two construction jobs are randomly assigned to one or more of three firms A, B, and C. Let Y1 denote the number of contracts assigned to firm A and Y2 the number of contracts assigned to firm B. Recall that each firm can receive 0, 1 or 2 contracts.

2. (b) Find the marginal probability of Y1 and Y2.

3. (c) Are Y1 and Y2 independent? Why? (d) Find E(Y1 − Y2).

4. (e) Find Cov(Y1, Y2)

Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here:

For example, Cabinetmaker 1 estimates it will take 47 hours to complete all the oak cabinets and 64 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 40 hours available for the final finishing operation. Thus, Cabinetmaker 1 can only complete 40/47 = 0.85,or 85%, of the oak cabinets if it worked only on oak cabinets. Similarly, Cabinetmaker 1 can only complete 40/64 = 0.63, or 63%, of the cherry cabinets if it worked only on cherry cabinets.

Formulate a linear programming model that can be used to determine the percentage of the oak cabinets and the percentage of the cherry cabinets that should be given to each of the three cabinetmakers in order to minimize the total cost of completing both projects. If the constant is "1" it must be entered in the box.

Solve the model formulated in part (a). What percentage of the oak cabinets and what percentage of the cherry cabinets should be assigned to each cabinetmaker? If required, round your answers to three decimal places. If your answer is zero, enter "0".

What is the total cost of completing both projects? If required, round your answer to the nearest dollar.

Total Cost = $  

If Cabinetmaker 1 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Explain.

because Cabinetmaker 1 has of  hours. Alternatively, the dual value is which means that adding one hour to this constraint will decrease total cost by $.

If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Use a minus sign to indicate the negative figure. Explain.

because Cabinetmaker 2 has a of  . Therefore, each additional hour of time for cabinetmaker 2 will reduce total cost by $  per hour, up to a maximum of hours.

Suppose Cabinetmaker 2 reduced its cost to $38 per hour. What effect would this change have on the optimal solution? If required, round your answers to three decimal places. If your answer is zero, enter "0".

What is the total cost of completing both projects? If required, round your answer to the nearest dollar.

Total Cost = $  

The change in Cabinetmaker 2’s cost per hour leads to changing objective function coefficients. This means that the linear program

The new optimal solution the one above but with a total cost of $  .

1. You are curious as to whether the law actually does reduce highway deaths. Using information in the table below, perform an appropriate test to determine whether speed limits are associated with lower traffic deaths (at a .01 significance level). Explain your reasoning below the table if necessary.

-> There IS a speed limit law:

    Variable |       Obs        Mean    Std. Dev.       Min        Max

-------------+--------------------------------------------------------

traffic_1992 |         8         1.5    .3338092        1.1        2.1

-> There IS NOT a speed limit law:

    Variable |       Obs        Mean    Std. Dev.       Min        Max

-------------+--------------------------------------------------------

traffic_1992 |        42    1.909524    .4410683          1        2.7

9. During the past six years, **** has graduated a population average of µ = 43 percent of the freshmen who were admitted with a population standard deviation of σ = 5. An experimental new advising program was tried on a sample of n = 49 students and an average of M = 45 percent graduated within six years. Perform a hypothesis test to determine if significantly MORE students in the new advising program graduated when compared to the population mean. Please follow the four steps and compute the effect size (cohen’s d), and please interpret the results. (Note: one-tailed hypotheses test should be performed)

a. T=2.8, reject null. Cohen’s d=0.5, medium effect.

b. Z=2.8, failed to reject null. Cohen’s d=0.8, small effect.

c. T=2.8, reject null. Cohen’s d=0.2, large effect.

d. Z=2.8, reject null. Cohen’s d=0.5, medium effect.

subject group   pre1    pre2    post1   post2   post3
1       B       4       3       5       4       41
2       B       6       5       9       5       41
3       B       9       4       5       3       43
4       B       12      6       8       5       46
5       B       16      5       10      9       46
6       B       15      13      9       8       45
7       B       14      8       12      5       45
8       B       12      7       5       5       32
9       B       12      3       8       7       33
10      B       8       8       7       7       39
11      B       13      7       12      4       42
12      B       9       2       4       4       45
13      B       12      5       4       6       39
14      B       12      2       8       8       44
15      B       12      2       6       4       36
16      B       10      10      9       10      49
17      B       8       5       3       3       40
18      B       12      5       5       5       35
19      B       11      3       4       5       36
20      B       8       4       2       3       40
21      B       7       3       5       4       54
22      B       9       6       7       8       32
23      D       7       2       7       6       31
24      D       7       6       5       6       40
25      D       12      4       13      3       48
26      D       10      1       5       7       30
27      D       16      8       14      7       42
28      D       15      7       14      6       48
29      D       9       6       10      9       49
30      D       8       7       13      5       53
31      D       13      7       12      7       48
32      D       12      8       11      6       43
33      D       7       6       8       5       55
34      D       6       2       7       0       55
35      D       8       4       10      6       57
36      D       9       6       8       6       53
37      D       9       4       8       7       37
38      D       8       4       10      11      50
39      D       9       5       12      6       54
40      D       13      6       10      6       41
41      D       10      2       11      6       49
42      D       8       6       7       8       47
43      D       8       5       8       8       49
44      D       10      6       12      6       49
45      S       11      7       11      12      53
46      S       7       6       4       8       47
47      S       4       6       4       10      41
48      S       7       2       4       4       49
49      S       7       6       3       9       43
50      S       6       5       8       5       45
51      S       11      5       12      8       50
52      S       14      6       14      12      48
53      S       13      6       12      11      49
54      S       9       5       7       11      42
55      S       12      3       5       10      38
56      S       13      9       9       9       42
57      S       4       6       1       10      34
58      S       13      8       13      1       48
59      S       6       4       7       9       51
60      S       12      3       5       13      33
61      S       6       6       7       9       44
62      S       11      4       11      7       48
63      S       14      4       15      7       49
64      S       8       2       9       5       33
65      S       5       3       6       8       45
66      S       8       3       4       6       42

A study of reading comprehension in children compared three methods of instruction. The three methods of instruction are called Basal, DRTA, and Strategies. As is common in such studies, several pretest variables were measured before any instruction was given. One purpose of the pretest was to see if the three groups of children were similar in their comprehension skills. The READING data set described in the Data Appendix gives two pretest measures that were used in this study. Use one-way ANOVA to analyze these data and write a summary of your results.

Apply the 68-95-99.7 rule to answer the question. The systolic blood pressure of a group of 18-year-old women is normally distributed with a mean of 113 mmHg and a standard deviation of 11 mmHg. What percentage of 18-year-old women in this group have a systolic blood pressure that lies within 3 standard deviations to either side of the mean? A. 95% B. 68% C. 34% D. 99.7%

1) Compared the lengths of the different Harry Potter movies and the Star Wars movies. Each series has 8 main movies that I will compare the lengths of. I will be testing my hypothesis that Harry Potter movies are longer than Star Wars movies.

The Harry Potter lengths in minutes are: 152, 161, 142, 157, 139, 153, 146, 130

The Star Wars lengths in minutes are: 133, 142, 140, 121, 124, 131, 138, 152

also:

2) The proportion of adults in Tennessee who are gamers is more than the proportion of adults in New York who are movie go-ers. In two independent polls, you may find that 69 out of 340 California residents are gamers and 59 out of 225 New York residents are movie go-ers.

Is there enough evidence to conclude that Tennessee residents game more than New York residents watch movies at the 0.8 significance level?

You wish to test the following claim ( H a ) at a significance level of α = 0.10 . For the context of this problem, μ d = μ 2 − μ 1 where the first data set represents a pre-test and the second data set represents a post-test. H o : μ d = 0 H a : μ d < 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 15 subjects. The average difference (post - pre) is ¯ d = − 15.1 with a standard deviation of the differences of s d = 41.8 . What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0. The sample data support the claim that the mean difference of post-test from pre-test is less than 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is less than 0

Share with your peers the null and alternative hypotheses for a decision that is relevant to your life. This can be a personal item or something at work. Define the population parameter, the appropriate test statistic formula, and if the hypothesis test is left-tailed, right-tailed, or two-tailed. Be sure to set up your hypotheses, too. How did you decide on constructing these hypotheses? What level of significance would you use? Why?

The population parameters that you should use for this discussion are:

μ: the population mean

or

p: the population proportion

Suppose now that you open the lollipops to find out that you have 9 red, 6 green, 10 orange, and 15 blue. Test the null hypothesis that the colors of the lollipops occur with equal frequency. What is the Chi Square value?

1. The probability of committing a Type II error changes for each alternative value of the parameter.

True

False

2. When conducting a hypothesis test on a population proportion, the value of q is defined as p + 1.

True

False

4. The customer help center in your company receives calls from customers who need help with some of the customized software solutions your company provides. Previous studies had indicated that 20% of customers who call the help center are Hispanics whose native language is Spanish and therefore would prefer to talk to a Spanish-speaking representative. This figure coincides with the national proportion, as shown by multiple larger polls. You want to test the hypothesis that 20% of the callers would prefer to talk to a Spanish-speaking representative. You conduct a statistical study with a sample of 35 calls and find out that 11 of the callers would prefer a Spanish-speaking representative. The significance level for this test is 0.01. The value of the test statistic obtained is _____.

Question Sampling is the process of selecting a representative subset of observations from a population to determine characteristics (i.e. the population parameters) of the random variable under study. Probability sampling includes all selection methods where the observations to be included in a sample have been selected on a purely random basis from the population. Briefly explain FIVE (5) types of probability sampling.

Let X1,X2,… be a sequence of independent random variables, uniformly distributed on [0,1]. Define Nn to be the smallest k such that X1+X2+⋯+Xn exceeds cn=n2+12n−−√, namely,

Does the limit

exist? If yes, enter its numerical value. If not, enter −999.

unanswered

Submit

You have used 1 of 3 attempts Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.