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Submit your worked data in one single MS Excel Workbook. Start your solution set by using the assignment shell provided on Sakai. Use appropriately labeled worksheets for each problem/section of a problem.
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Question 1. 40 points
A lightbulb manufacturer wants to estimate the total number of defective bulbs contained in all of the boxes shipped by the company during the past week. Production personnel at this company have recorded the number of defective bulbs found in each of 50 randomly selected boxes shipped during the past week. These data are provided in the worksheet named Q1. Calculate a 95% confidence interval for the total number of defective bulbs contained in the 1000 boxes shipped by this company during the past week and report your results. |
Question 2. 60 points
A study is performed in a large southern town to determine whether the average amount spent on food per four-person family in the town is significantly different from the national average.
A random sample of the weekly grocery bills of families in this town is obtained.
Assume the national average amount spent on food for a four- person family is $150.
A.Identify the null and alternative hypotheses for this situation. |
B.Is the sample evidence statistically significant? |
C.For which values of the sample mean (i.e., average weekly grocery bill) would you reject the null hypothesis at the 1% significance level? |
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Explanation & Answer
Find the solution worksheet attached herewith..
Box
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
Number Defective
1
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
1
0
0
0
2
0
1
0
0
1
0
0
0
2
3
This is fictitious data.
44
45
46
47
48
49
50
0
2
0
0
2
0
0
Confidence Interval(One box)
Sample Mean
Sample Standard Deviation
Confidence Level(Mean)
Degrees of Freedom
Error Bound for Population Mean
Lower Limit
Upper Limit
Confidence Interval(1000 boxes total)
Lower limit
Upper Limit
No of defec...
