Problem 1: (Total: 8 Points) A social psychologist wishes to compare person’s at
ID: 2959979 • Letter: P
Question
Problem 1: (Total: 8 Points)
A social psychologist wishes to compare person’s attitudes toward a particular social behavior before and after they view a film about the behavior. For each subject, an attitude measurement is made before the film is viewed,
1, and a second measurement, µ2, is made after the film is viewed. The psychologist wishes to test whether or not viewing the film leads to an upward shift in the mean attitude level. The measurement data for the matched pair observations for 10 subjects are given in Table 1.
Subject
Attitude before viewing the film (Xi)
Attitude after viewing the film (Yi)
1
41
46.9
2
60.3
64.5
3
23.9
33.3
4
36.2
36
5
52.7
43.5
6
22.5
56.8
7
67.5
60.7
8
50.3
57.3
9
50.9
65.4
10
24.6
41.9
Can you help the psychologist to determine the following?
(Must show the calculations, equation and methods used for the prior, posterior, marginal and conditional probabilities)
Problem 2: (Total: 8 Points)
An agricultural manufacturer produces growth hormone pellets for cattle in large batches. Product specifications require the pellets to have a mean hormone content of 0 =1280 mg per pellet. A random sample of 80 pallets is selected from each batch to test whether the batch meets the specification. The process standard deviation of the hormone content per pellet is known from extensive past experience to be = 110 mg per pellet. The statistical test is to be set up from the engineer’s point of view which needs to be absolutely independent of any other agenda. The ‘’ risk is to be controlled at 5% when = 0 =1280 mg per pellet.
(2 points)
Problem 3: (Total: 4 Points)
A machine tool manufacturer employs a component I one of its machines that must withstand considerable stress from cutting tool vibrations. An all metal component has been available for some years from a supplier. Extensive past experience has shown that this component has a mean service life of 1100 hours. For ‘’ risk control, the manufacturer likes to choose between two alternatives: mean service life of the modified component is 1100 hours or less and mean service life of the modified component is more than 1100 hours.
The R&D division of the supplier has just developed a modified components manufactured out of plastic and metal. Suppose the number of sample to be collected has not been decided yet. The ‘’ risk is to be controlled at 5% when = µ0= 1100 hours. The manufacturer has decided that when the mean service life of the modified component is 1 = 1250, that is, when it is substantially higher than that of original component, there should be only a 0.1 chance of concluding H0 on the basis of test. So, the ‘’ risk is to be controlled at 0.10 when 1 =1250 hours. A planning value of = 250 hours is deemed appropriate.
(Must show the calculations, equation and methods used for the prior, posterior, marginal and conditional probabilities)
Problem 4: (Total: 10 Points)
An economist believes that during periods of high economic growth (H), the US dollar appreciates with a probability 0.7; in periods of moderate economic growth (M), the US dollar appreciates with probability 0.4; and during periods of low economic growth (L), the US dollar appreciates with probability 0.2. During any period of time, the probability of high economic growth is 0.3, the probability of moderate economic growth is 0.5, and the probability of low economic growth is 0.2. Suppose the dollar has been appreciating during present period (A). Answer the following questions: (2 points each)
(Must show the calculations, equation and methods used for the prior, posterior, marginal and conditional probabilities)
Subject
Attitude before viewing the film (Xi)
Attitude after viewing the film (Yi)
1
41
46.9
2
60.3
64.5
3
23.9
33.3
4
36.2
36
5
52.7
43.5
6
22.5
56.8
7
67.5
60.7
8
50.3
57.3
9
50.9
65.4
10
24.6
41.9
Explanation / Answer
hey so it looks like we are in the same class...So i found some slides online that he gets some of his questions from; problem 4 of the test is solved in these slides. The URL does not work but to get you at least started on the test, copy:
An economist believes that during periods of high economic growth (H), the US dollar appreciates with a probability 0.7; in periods of moderate economic growth (M), the US dollar appreciates with probability 0.4; and during periods of low economic growth (L), the US dollar appreciates with probability 0.2. During any period of time, the probability of high economic growth is 0.3, the probability of moderate economic growth is 0.5, and the probability of low economic growth is 0.2. Suppose the dollar has been appreciating during present period (A). Answer the following questions
into google and the slides are from Mississippi State Universtity, just go through the slides for a ways and they answer this question. Hope this helps some