Question 1
A student organization wants develop a program for students whoare going to graduate in the next 18 months. To get asense of how many students might be interested in the program, theywant an estimate of the proportion of students who are going tograduate in the next 18 months. They take a simple random sample of89 students. The data they collected can be found in the columnlabeled “Graduate in the next 18 month”. “No” meansthat the student will not graduate in the next 18 months and wouldnot be of interest to the student organization. “Yes”means that the student will graduate in the next 16 months andwould be of interest to the student organization.
- The vice president of the student organization has asked you tocreate an estimate of the proportion of students who will graduatein 18 months. You ask her what level of confidence she wants tohave in the estimate and she says that she would like to be 90%confident in the proportion estimate. Create the confidenceinterval using the sample data. Write a sentence or two tocommunicate the results to her.
Question 2
A student organization wants to get an estimate of theproportion of students who would attend a Tiny Cowboys concert atAl Lang stadium. They ask you how many students theyshould include in their sample to get this estimate.
- They tell you that a similar concert held at another collegeclose by had 24% of all students attend the concert, they would beok with being 90% confident and want the estimate to be within 6%of the true value. Calculate the sample size. Write a sentence ortwo to communicate to the student organization how many studentsthat they should sample.
Question 3
The Student Government Association is interested in an estimateof the mean hours students work per week. They take a simple randomsample of 89 students. The data they collected can be found in thecolumn labeled “Number of hours worked per week”.
- Use the sample data to construct a 95% confidence interval forthe mean number hours worked. Write one or two sentences tocommunicate to the Student Government the estimate and the marginof error.
Question 4
An administrator said that he believes more than 25% of allstudents will graduate in the next 18 months.
Use the data found in the column labeled “Graduate in the next18 months” to answer the following questions. “No” means that thestudent will not graduate in the next 18 months. “Yes”means that the student will graduate in the next 18 months.
Write the claim in symbolic form
- Write the null and alternative hypothesis in symbolic form
- State the test statistic
- State the p-value
- State your conclusion about the null hypothesis using a 0.05significance level
- Write a sentence to communicate to the administrator yourconclusion about his claim
Data:
Students- Graduate in 18 mo- number of hours worked per week
1 No 6.3
2 No 30.1
3 No 15.8
4 No 29.1
5 No 22.6
6 No 13.8
7 No 25.4
8 No 13.1
9 No 25.4
10 No 25.3
11 No 20.6
12 No 31.2
13 No 18.1
14 No 38.1
15 No 22
16 No 33.1
17 No 15.7
18 No 33.9
19 No 21.8
20 No 22.5
21 No 27.1
22 No 25.8
23 No 25.9
24 No 17.2
25 No 28.1
26 No 16.8
27 No 24.8
28 No 37
29 No 15.9
30 No 12.6
31 No 34.7
32 No 23.7
33 No 31.8
34 No 17.7
35 No 19
36 No 35
37 No 33
38 No 10.8
39 No 24.5
40 No 26.9
41 No 31.8
42 No 22.2
43 No 21.8
44 No 26.1
45 No 25.7
46 No 31.4
47 No 25.5
48 No 18.1
49 No 31
50 No 19.8
51 No 15.9
52 No 16.8
53 No 25.4
54 No 21.3
55 No 25
56 No 20.2
57 No 4.8
58 No 37.2
59 No 19.4
60 No 15.7
61 No 18.1
62 No 13.3
63 Yes 31.7
64 Yes 19
65 Yes 23.6
66 Yes 28.4
67 Yes 17.1
68 Yes 26.7
69 Yes 7.1
70 Yes 44.7
71 Yes 31.2
72 Yes 32.7
73 Yes 15.9
74 Yes 19.4
75 Yes 25.6
76 Yes 28.9
77 Yes 27.6
78 Yes 18
79 Yes 29.5
80 Yes 23.6
81 Yes 36.5
82 Yes 41.4
83 Yes 19.6
84 Yes 11.3
85 Yes 29
86 Yes 14.4
87 Yes 27
88 Yes 41.4
89 Yes 13.1
