The quality control department of a paper company measures the brightness (a mea
ID: 3046993 • Letter: T
Question
The quality control department of a paper company measures the brightness (a measure of reflectance) of finished paper on a periodic basis throughout the day. Two instruments are used to measure the paper specimens. Use the following data to test the hypotheses at the a = .05 level that the two instruments
have the same variance.
have the same mean.
For both tests show what the critical value(s) is.
Instrument 1
Instrument 2
56
59
46
33
52
53
55
38
47
56
55
52
54
47
52
32
48
48
54
51
59
54
55
19
51
51
56
38
48
58
51
42
61
47
66
48
59
54
51
32
59
36
63
44
57
35
53
58
46
45
Instrument 1
Instrument 2
56
59
46
33
52
53
55
38
47
56
55
52
54
47
52
32
48
48
54
51
59
54
55
19
51
51
56
38
48
58
51
42
61
47
66
48
59
54
51
32
59
36
63
44
57
35
53
58
46
45
Explanation / Answer
Hypothesis test for same mean
As critical value is less than the test statistics, we reject the null hypothesis.
Hence there are significanct evidence to conclude that two means are not equal.
Hypothesis for Same variances
Test statistics, F = s1^2/s2^2 = 0.2641
critical values are 0.5533 and 1.81
Reject the null hypothesis as 0.2641 is less than lower limit of critical value
there are significanct evidence to conclude that variances are not equal
Given Data Sample 1 Sample 2 Name inst 1 inst 2 mean 54.16 45.2 Sample size 46 46 Std. dev. 5.22 10.15Related Questions
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