1. a. Conduct a test hypothesis to determine whether average height of boys who repeated is less than those that never repeated.
Find the P-value (or rejection region) and make your conclusion.
The parameters of interest are 1 and 2, the mean process yield using case 1 and case 2, respectively, and we want to the difference 1 - 2.
2. Assume that sample 1 and sample 2 are independent. Perform a test to determine whether the potency level is significantly different for the drug after being stored for a year.
|
Sample 1
|
Sample 2
|
|
10.6
|
9.9
|
|
10.2
|
9.8
|
|
10.5
|
9.6
|
|
10.3
|
10.1
|
|
10.8
|
10.2
|
|
9.8
|
10.1
|
|
10.6
|
9.7
|
|
10.7
|
9.5
|
|
10.2
|
9.6
|
|
10.0
|
9.8
|
(a) Set up the appropriate H0 and Ha.
(b) Calculate the test statistic
(c) Find the P-value (or rejection region) and make your conclusion.
(d) Is it reasonable to assume two populations have equal variances? Why or Why not?
3. If we consider these students to be representative of all students who might attend this summer school in other years, do these results provide evidence that the program is worthwhile?
|
June
|
August
|
|
54
|
50
|
|
49
|
65
|
|
68
|
74
|
|
66
|
64
|
|
58
|
56
|
|
60
|
65
|
|
62
|
68
|
|
62
|
72
|
(a) Set up the appropriate H0 and Ha.
(b) Calculate the test statistic
(c) Find the P-value (or rejection region) and make your conclusion.