Question

A random sample of the following two variables was obtained:

x | 29 | 48 | 28 | 22 | 28 | 42 | 33 | 26 | 48 | 44 |

y | 16 | 46 | 34 | 26 | 49 | 11 | 41 | 13 | 47 | 16 |

a. Calculate the correlation between these two variables.

b. Conduct a test of hypothesis to determine if there exists a
correlation between the two variables in the population. Use a
significance level of 0.10.

Answer #1

a) Correlation coefficient between these two variables X and Y is 0.06970.

b) The two variables are correlated.

Calculate a 90%, 95%, and 98% confidence intervals for the
mean.
Sample #13
Sample #28
Sample #42
18
49
40
34
30
19
57
73
25
28
44
26
20
76
22
46
33
25
92
43
29
43
84
47

Dataset:
Husband Wife
53 50
38 34
46 44
30 36
31 23
26 31
29 25
48 51
65 46
29 26
28 23
29 32
25 22
22 21
21 24
43 50
24 27
38 33
33 26
35 29
40 29
27 25
27 24
49 38
48 39
27 27
26 24
40 34
35 37
21 26
32 39
30 28
60 52
36 40
25 23
66 55
52 34
41 40
43 ...

Please compute the value, upper control limit, and lower
control limit for the x-bar chart, r-bar chart, p
chart, and np chart.
Sample #
Observations
Defects
1
44
49
44
44
40
0
2
42
46
51
51
42
2
3
45
45
49
49
46
2
4
40
39
42
42
47
7
5
44
51
53
53
44
2
6
41
44
43
43
46
8
7
40
44
46
46
48
3
8
54
49
48
48...

International
39
54
46
39
69
47
48
28
54
62
Domestic
29
36
33
34
38
37
33
29
43
39
43
42
32
35
39
1-a. What is the critical value at the α = 0.01 level? If there
are two critical values, enter the positive one. If there is one
critical value you need to make sure it has the correct sign
depending on what type of test it is. Remember, Excel only provides
positive values. Round...

Studies are often done by pharmaceutical companies to determine
the effectiveness of a treatment program. Suppose that a new AIDS
antibody drug is currently under study. It is given to patients
once the AIDS symptoms have revealed themselves. Of interest is the
average length of time in months patients live once starting the
treatment. Two researchers each follow a different set of 40 AIDS
patients from the start of treatment until their deaths. The
following data (in months) are collected....

. Studies are often done by pharmaceutical companies to
determine the effectiveness of a treatment program. Suppose that a
new AIDS antibody drug is currently under study. It is given to
patients once the AIDS symptoms have revealed themselves. Of
interest is the average length of time in months patients live once
starting the treatment. Two researchers each follow a different set
of 40 AIDS patients from the start of treatment until their deaths.
The following data (in months) are...

Person
number
X
Value
Y
Value
Person number
X
Value
Y
Value
Person number
X
Value
Y
Value
1
24
30
11
39
42
21
21
27
2
42
53
12
60
65
22
33
29
3
20
27
13
34
40
23
25
27
4
31
30
14
24
26
24
22
25
5
22
24
15
51
57
25
28
33
6
46
47
16
80
83
26
34
40
7
52
60
17
28
27
27
53...

After you run the t-test, answer these questions (type responses
in this box):
1. What is the p-value (the significance)?
2. Is the difference between the mean age first diagnosed for
males and females statistically significant?
Independent Samples
t-TEST
Age First Diagnosed
Male
Female
25
33
35
32
34
45
22
44
34
21
21
33
21
29
18
30
43
31
28
28
29
44
32
54
41
32
25
39
30
36
19
50
15
21
18
37...

A sample of 10 orders showed the following delivery times (in
days):
48
49
32
47
22
43
44
46
44
34
What is the 3rd quartile?
Question 13 options:
47.25 (EXC) 46.25 (INC)
47.5 (EXC) 46 (INC)
47 (EXC) 47.50 (INC)
48 (EXC) 48.25 (INC)
What is the 30th percentile?
Question 14 options:
40.7 (EXC) . 38.3 (INC)
37.7 (EXC) . 41.3 (INC)
38.7 (EXC) . 39.3 (INC)
36.7 (EXC) . 40.3 (INC)

What is the probability of finding a sample with a mean of less
than 29,000 miles?
Tire #
Mileage
1
30564
2
28886
3
29822
4
29326
5
31535
6
31880
7
28376
8
29664
9
25001
10
31981
11
31048
12
29672
13
33267
14
31512
15
35228
16
27089
17
31372
18
32749
19
28670
20
31683
21
34551
22
31811
23
29535
24
25741
25
28874
26
28535
27
28444
28
27504
29
32179
30
31491
31...

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