26 randomly selected students were asked the number of movies they watched the previous week. The results are as follows:

Round all your answers to one decimal place.

The mean is:

The median is:

The sample standard deviation is:

The first quartile is:

The third quartile is:

What percent of the respondents watched at least 4 movies the previous week? ______%

74% of all respondents watched fewer than how many movies the previous week?

Compute the present values of the following annuities first assuming that payments are made on the last day of the period and then assuming payments are made on the first day of the period: (Do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16)) 1) 7-year, annual payment of $678.09, and YTM = 13%; 2) 13-year, annual payment of $7968.26, and YTM = 6%; 3) 23-year, annual payment of $20,322.93, and YTM = 4%; 4) 4-year, annual payment of $69,712.54, and YTM = 31%.

Question 6 (1 point)
A high school math teacher believes that male and female students who graduated from the school perform equally well on SAT math test. She randomly chooses 10 male students and 10 female students who graduated from this school. The following are the SAT math scores of the 20 students:

Male: 23, 30, 27, 29, 22, 34, 36, 28, 28, 31
Female: 22, 33, 30, 28, 28, 31, 34, 25, 29, 21

Give a 95% confidence interval for the difference in the mean SAT math score between male and female students who graduated from this school.

Question 6 options:

-3.37 to 4.77

-2.18 to 6.01

-2,45 to 3.85

-0.34 to 7.61

Question 7 (1 point)
A survey asks this question "How long did you spend on shopping in the past week?" The responses (in hours) of 15 people are given below:

3, 0, 4, 1, 6, 1, 2, 4, 5, 2, 5, 4, 2, 5, 3

Find a 95% confidence interval for the mean number of hours people spent on shopping in the past week.

Question 7 options:

2.18 to 4.14

2.15 to 4.11

2.07 to 4.03

1.94 to 3.90

Question 8 (1 point)
A survey asks this question "How long did you spend on shopping in the past week?" The responses (in hours) of 15 people are given below:

3, 0, 4, 1, 6, 1, 2, 4, 5, 2, 5, 4, 2, 5, 3

Test the claim that the mean number of hours people spent on shopping in the past week is greater than 3 hours.

What is the p-value?

Question 8 options:

0.6128

0.7744

0.6635

0.3872

Question 9 (1 point)
Twelve students who were not satisfied with their ACT scores particiapted in an online 10-hour training program. The ACT scores before and after the training for the 12 students are given below:

Student Before After
1 23 27
2 25 26
3 27 31
4 30 32
5 24 26
6 25 24
7 27 31
8 26 28
9 28 30
10 22 25
11 20 24
12 29 32
Test a claim that the program is effective in improving a student’ ACT score.

What is the p-value?

Question 9 options:

Essentially 0

0.0325

0.0478

1.000

Question 10 (1 point)
A county environmental agency suspects that the fish in a particular polluted lake have elevated mercury level. To confirm that suspicion, five striped bass in that lake were caught and their tissues were tested for mercury. For the purpose of comparison, four striped bass in an unpolluted lake were also caught and tested. The fish tissue mercury levels in mg/kg are given below.

polluted: 0.580, 0.711, 0.571, 0.666, 0.598
unpolluted: 0.382, 0.276, 0.570, 0.366

Construct the 90% confidence interval for the difference in the population means based on these data.

Question 10 options:

0.05 to 0.40

0.08 to 0.37

0.10 to 0.35

0.04 to 0.41

A social psychologist conducts an experiment to determine the best way to design a message for college students about the importance of engaging in safe sex. She hypothesizes that two factors impact the effectiveness of the message: (a) the medium used to deliver the message (lecture, video, or pamphlet), and (b) the emotional tone of the message (fear, neutral, or humor). The dependent variable is a measure of behavioral intention to engage in safe sex behavior (higher score indicating greater intention). She randomly assigns 45 participants to 9 groups, and obtains the following data:

a. Using Excel, analyze these data by performing a two-way between-groups ANOVA. Create formulas to calculate the SS terms and the rest of the ANOVA summary table.

b. Include the effect size (eta-squared) for the medium, emotional tone, and medium X emotional tone effects in your ANOVA table (you’ll need to create your own formulas).

c. Create a graph to show the results, with error bars (estimated standard error of the means).

d. Insert a textbox in which you report the results of the ANOVA, the effect sizes for any significant effects, and refer to the graph to describe the pattern of any significant results.

13. A researcher assesses 7 students on test anxiety using blood pressure as a measure (the higher the blood pressure, the greater the anxiety); she then assesses the same subjects again after they view a 2-hour videotape on "relaxation techniques under stress".  The results, average systolic blood pressure, were:

Subject        Before              After              

1                120                 110              

2                160                 110              

3                124                 100              

4                135                  99              

5                170                 115              

6                143                 106              

7                188                  89               

            1. State the independent and dependent variables.

            2. State the Null Hypothesis in words and symbols.

            3. Compute the appropriate statistic.

            4. What is the decision?

            5. State the full conclusion in words.

14. A developmental psychologist prepares a video tape which demonstrates the “conservation of matter”.  She selects 8 young children from a day care and first tests them on this type of problem (that matter is the same volume regardless of shape) and records the number of correct responses.  She then shows the video tape and re-measures their ability to solve these problems.  Below are the results:

# correct                                  # correct

Child               before tape                              after tape

1                      3                                              8

2                      0                                              6

3                      6                                              4

4                      2                                              8

5                      9                                              10

6                      8                                              6

7                      6                                              2

8                      5                                              10

1. State the independent and dependent variables.
2. State the Null Hypothesis in words and symbols
3. Compute the appropriate statistic
4. What is the decision?
5. State the Full conclusion in words.

a. You are considering buying insurance for your new laptop computer, which you have recently bought for $1,200. The insurance premium for three years is $70. Over the three-year period there is an 10% chance that your laptop computer will require work worth $416, a 2% chance that it will require work worth $840, and a 2% chance that it will completely break down with a scrap value of $170.

Should you buy the insurance? (Assume risk neutrality.)

b. Consider the following cumulative probability distribution.

a. Calculate P(X ≤ 2). (Round your answer to 2 decimal places.)

b. Calculate P(X = 4). (Round your answer to 2 decimal places.)

Question 1. How many statements are true?

(A) 0   (B) 1   (C) 2   (D) 3   (E) 4

Statement 1. The P and C charts are for attributes and the M and R charts are for variables.

Statement 2. The upper control limit is three standard deviations of the mean above the center line and the lower control limit is three standard deviations of the mean below the mean of the quality characteristic.

Statement 3. The sample size for the experiment that determines the estimates of the parameters can be different than the sample size used to construct the M-chart, the R-chart, the P-chart, and the C-chart.

Statement 4. The P chart monitors the proportion of an attribute quality characteristic which the C chart monitors the count of an attribute quality characteristic.

Questions 2-3

The following experiment was carefully designed and performed on a process under control. A random sample of 80 is drawn for each sample and the number of attributes is recorded.

Questions 4-5

Destructive sampling was performed measuring the life of six batteries in hours.

General Instructions:

If nothing is specified, use LS = 5% and you may use MiniTab (or Excel) to perform the hypothesis test.

Question 2:

Twenty shoppers were given a standard shopping list of a limited number of items (say, twelve) for the upscale clothing requirements of one of their school-going children for the coming school year at an expensive private school. They were given the money by an independent firm called Market Research Inc. (MRI) to purchase the items for one child, from the standard list, from 4 different clothing chain stores. The dollar amount the shoppers spent on their clothing for each child, are given under the columns specifying which chain store they bought their clothing from. The MRI wanted only to compare the mean amount of money the various shoppers had spent in the 4 chain stores.

a. Clearly specify what hypothesis the MRI should test? Conduct the 4 step Hypothesis test at 1% level of significance (LS) and reach the appropriate conclusion regarding mean amounts spent in the 4 stores, by using the critical value of the statistic. You may use “SS” given by MiniTab.

b. Explain in words why, you can block the ‘Shopper’ variable. What is this method called?

c. Use the MiniTab approach to show how this can be demonstrated with appropriate analysis. Use 1% Level of Significance. (Hint: Think of ‘Shoppers’ and ‘Stores’ as the two factors.)

d. Which analysis is more appropriate? The one you did in Qu.#2 ‘c’ above or the one you did in Qu.#2 ‘a’? Explain with some specific numerical comparisons of relevant quality.

Data below..

The data set EF1.SAV contains percentages of fractional fraction, made by 34 subjects in an imaginary clinical study. The efficacy fraction (EF) was calculated before and after treatment, given with the baseline and post variables, while ID is patient number.

1- Check if Baseline is a normally distributed variable.

2- Calculate average and standard deviation for Baseline, and find a 95% confidence interval for the Baseline average.

3- Repeat Points 1 and 2 for the Post variable.

4- Is there a significant difference between the Baseline and Post average? Make an analysis based on both confidence and p-value.

5- Write a short summary of what you found.

A researcher who has not had any course in statistics analyzes the same data using a two-sample method. He considers the data from before and after treatment as if they came from two random sample of patients.

Here you can use the dataset ef2.sav; The data represents the ejaculation fraction before and after a treatment. The measurements are the same as in ef1.sav, but the data structure is slightly different and the ID variable has been removed.

6- Perform the test performed by the researcher. What conclusion do you get? Compare these conclusions you received when analyzing the data in point 4.

7- What's wrong with this method? Why do you get different conclusions when using the two different methods? Consider this based on the effectiveness goals and the uncertainty of the effect goals you get when using the two methods.

EF1 SPSS FILES

ID

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34

BASELINE

55
54
57
47
54
57
62
54
51
51
59
47
54
54
53
54
56
59
55
57
58
51
42
58
55
61
54
58
55
57
54
60
48
55

Post baseline

60
54
59
48
54
59
64
53
52
50
61
45
54
55
54
57
57
62
57
57
59
55
42
61
57
64
56
59
57
60
55
59
49
55

THE ABOVE THREE SPSS VARIABLES ID, BASELINE AND POST BASELINE, ARE PART OF EF1 FILE

EF2 SPSS FILE

TIME

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2

EF (ejection fraction)

54
57
47
54
57
62
54
51
51
59
47
54
54
53
54
56
59
55
57
58
51
42
58
55
61
54
58
55
57
54
60
48
55
60
54
59
48
54
59
64
53
52
50
61
45
54
55
54
57
57
62
57
57
59
55
42
61
57
64
56
59
57
60
55
59
49
55

THESE ABOVE TWO VARIABLES, TIME AND EF(ejection fraction) ARE PART OF EF2 SPSS FILE.