STATISTIKA STKR 2270
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Use the sample data given in the table below, to construct a 90% confidence interval estimate of the difference between the two population proportions. The confidence level of 90% is comparable to the significance level of a = 0.05 used in a two tailed hypothesis test.
What does the result suggest about the effectiveness of a safety belt in an accident?
Safety Belt Used Safety Belt Not used
Occupant Fatalities 123 110
Total number of occupants 22,501 18,543
Choose the best answer.
A female house representative is trying to obtain email addresses to help her popularity, so her survey has included a request for an e-mail address. Assume that the survey was sent to 40,000 people and that for such surveys. From experience the percentage of responses with an e-mail address is 4%. If the true goal of the survey was to acquire a bank of at least 1150 e-mail addresses, find the probability of get ting at least 1150 responses with e-mail addresses.
Choose the best answer.
Numerous factors contribute to the smooth running of an electric motor (“Increasing Market Share Through Improved Product and Process Design: An Experimental Approach,” Quality Engineering, 1991: 361–369). In particular, it is desirable to keep motor noise and vibration to a minimum. To study the effect that the brand of bearing has on motor vibration, five different motor bearing brands were examined by installing each type of bearing on different random sample of seven motors. The amount of motor vibration (measured in microns) was recorded when each of the 35 motors was running. The data for this study follows. State and test the relevant hypotheses at significance level .05, and then carry out a multiple comparisons analysis if appropriate. Should one continue to Tukey test ? Why ? Do it Or Why not ? If Ho is rejected, perhaps one or more brands are significantly different, do a Tukey analysis.
(samples 1 - 7)
Brand 1 2 3 4 5 6 71 13.1 15 14 14.4 14 11.6 13.682 17.3 16.8 17.2 16.9 17.1 17.2 17.63 13.7 13.9 12.4 13.8 14.9 13.3 13.674 15.7 13.7 14.4 16 13.9 14.7 14.735 13.5 13.4 13.2 12.7 13.4 12.3 13.08
When designing an environment, one common criterion is to use a design that accommodates 99% of the population. How high should doorways be it 99% of men will fit through without bending or bumping their head? That is, find the 99th percentile of heights of men. Heights of men are normally distributed with a mean of 70 inch, and a standard deviation of 2 inch. Choose the best answer.
Consider the claim that in a gender selection, the likelihood of having a baby girl is different from p = 0.6. and use the test statistic z = 3.44 (found from 18 girls in 21 births. Use 5% confidence of interval.
First determine whether the given conditions result in a critical region in the right tail, left tail, or two tails, then use that theory to find the P-value. Interpret the P-value.
Choose the best answer.
What is the P value for the interaction ? Choose the best answer
University Alpha
Mechanics 80 67 70 48 88 30 67 66 55 47 36 78
Metallurgy 87 77 76 80 67 78 33 56 75 66 57 44
Maths 33 56 68 78 43 89 92 56 78 57 90 54
University Beta
Mechanics 80 77 70 88 88 70 88 77 87 90 90 78
Metallurgy 47 85 87 80 80 88 95 80 75 90 93 84
Maths 47 84 35 79 78 38 54 78 43 90 67 45
Numerous factors contribute to the smooth running of five electric motor brands. In particular, it is desirable to keep motor noise and vibration to a minimum. To study the effect that the brand of bearing has on motor vibration, five different motor bearing brands were examined by installing each type of bearing on different random sample of seven motors. The amount of motor vibration (measured in microns) was recorded when each of the 35 motors was running. The data for this study follows. State and test the relevant hypotheses at significance level .05, and then carry out a multiple comparisons analysis if appropriate. Should one continue to Tukey test ? Why ? Do it Or Why not ? If Ho is rejected, perhaps one or more brands are significantly different, do a Tukey analysis. Choose the best answer.
(samples 1 - 7)
Brand 1 2 3 4 5 6 71 13.1 15 14 14.4 14 11.6 13.682 17.3 17.4 17.9 16.9 17.1 17.2 17.63 13.7 13.9 12.4 13.8 14.9 13.3 13.674 15.7 13.7 14.4 16 13.9 14.7 14.735 13.5 13.4 13.2 12.7 13.4 12.3 13.08
What are the F calculated values for columns (subject) and rows (student) – choose best answer
Student
|
IT
|
Chemistry
|
Biology
|
History
|
1
|
73
|
68
|
89
|
89
|
2
|
87
|
74
|
90
|
90
|
3
|
99
|
89
|
99
|
73
|
4
|
100
|
90
|
85
|
85
|
5
|
96
|
84
|
96
|
96
|
6
|
100
|
82
|
100
|
89
|
7
|
99
|
89
|
90
|
66
|
8
|
55
|
78
|
90
|
85
|
9
|
96
|
84
|
96
|
96
|
10
|
100
|
82
|
100
|
77
|
The value of F from the table is (Choose the best answer)
Math English
school A 80 87
67 77
70 76
48 80
60 67
30 78
47 67
66 56
55 75
90 66
36 23
99 45
78 44
school B 80 87
77 85
70 87
88 80
88 80
60 88
88 77
77 80
87 75
90 90
80 93
78 84
48 54The total variance for English subject is: (Choose the best answer)
Math English
school A 80 87
67 77
70 76
48 80
60 67
30 78
47 67
66 56
55 75
90 66
36 23
99 45
78 44
school B 80 87
77 85
70 87
88 80
88 80
60 88
88 77
77 80
87 75
90 90
80 93
78 84
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