Homework SourseThe concentration of active ingredient in a liquid laundry d
The concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the process. Ten observations on concentration are taken from each catalyst, and the data are shown below:
Catalyst 1
57.9
66.2
65.4
65.4
65.2
62.6
67.6
63.7
67.2
71
Catalyst 2
66.4
71.7
70.3
69.3
64.8
69.6
68.6
69.4
65.3
68.8
Variable N Mean Median TrMean StDev SE Mean
Catalyst 1 10 65.22 65.40 65.41 3.44 1.09
Catalyst 2 10 68.380 69.050 68.413 2.268 0.717
Let m1 and m2 denote the true concentration recorded for Catalyst 1 and Catalyst 2, respectively. Answer questions 5 to 7 using this information.
1. I would like to test if the true standard deviations being the same in both catalyst types. Which of the following would be your conclusion? (Use =0.10)
(a)The test statistics is 1.5168 and true standard deviations are different in both catalyst types
(b)The test statistics is 1.5168 and true standard deviations are the same in both catalyst types
(c)The test statistics is 2.3006 and true standard deviations are different in both catalyst types
(d)The test statistics is 2.3006 and true standard deviations are the same in both catalyst types
2.I have also looked at the previous studies and found out that the true variance for the Catalyst 1 is 11. I would like to check if this is true. Which of the following would be your conclusion for this test? (Use =0.05)
(a)The test statistics is 2.815 and true variance for catalyst 1 is not 11
(b)The test statistics is 2.815 and true variance for catalyst 1 is 11
(c)The test statistics is 9.682 and true variance for catalyst 1 is not 11
(d)The test statistics is 9.682 and true variance for catalyst 1 is 11
3.What percent of the data for Catalyst 1 is less than its median?
(a)0.30
(b)0.40
(c)0.50
(d)0.60
(e)0.70
4.If the P-value is 0.25, which of the following is correct?
(a)Reject H0 with =0.05
(b)Fail to reject H0 with =0.30
(c)Reject H0 with =0.01
(d)Fail to reject H0 with =0.05
(e)Reject H0 with =0.10
5.If the test statistics is z=-0.7 and n=9 for the lower tailed test, which of the following is the P-value?
(a)0.242
(b)0.420
(c)0.580
(d)0.758
(e)none of the above
6.If the test statistics is t=-0.7 and n=9 for the lower tailed test, which of the following is the P-value?
(a)More than 0.10
(b)Between 0.005 and 0.10
(c)Between 0.001 and 0.005
(d)Between 0.0005 and 0.001
(e)Less than 0.0005
I already have the answers but can someone please explain how to get there?
| Catalyst 1 | 57.9 | 66.2 | 65.4 | 65.4 | 65.2 | 62.6 | 67.6 | 63.7 | 67.2 | 71 |
| Catalyst 2 | 66.4 | 71.7 | 70.3 | 69.3 | 64.8 | 69.6 | 68.6 | 69.4 | 65.3 | 68.8 |
Solution
3) (b)0.40
As 4 values out of 10 are less than median.
4) (d)Fail to reject H0 with =0.05
P-value > 0.05.
5) (a)0.242 From z table
6) (a)More than 0.10
P-value = 0.25
Please put Question Number 7. As you have asked for Q 5-7.
As per chegg Q&A this question have more than 4 sub-parts . So, I have answered four of them. If you want more please ask a seperate question.
