BUS520 Confidence Intervals and Hypothesis Testing - Business Finance
Complete the following tasks in the Module 2 SLP assignment template:Generate a 95\% confidence interval for the following two variables by hand: Annual Amount Spent on Organic Food and Age.Generate a 95\% confidence interval for the following two variables using the Excel formula =CONFIDENCE.T(): Annual Income and Number of People in the Household.Interpret the confidence intervals for each of the variables.The client insists the average income of his organic food customers is $150,000. Conduct a hypothesis test at the 0.10 level to test his statement. What is your decision?
bus520_module_2_slp_2_12_january_2020.xlsx
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Trident University
BUS520: Business Analytics and Decision Making
Module 2: SLP Template
FILL IN ALL CELLS THAT ARE HIGHLIGHTED IN YELLOW
Please remember to save this file with your last name in the file name. For example: BUS520 Module 2 SLP T
Dawn Franis
Name:
Annual Amount
Spent on Organic
Food
7348
11598
9224
12991
16556
11515
10469
17933
18173
12305
9080
9113
6185
6470
6000
6760
8579
7393
8161
10800
6160
10800
8543
17666
12644
14308
9737
13301
18106
11468
9547
7812
15521
Age
77
47
23
38
58
44
34
75
32
39
65
48
48
49
57
71
47
47
28
63
24
66
24
38
54
28
58
27
48
26
52
29
75
Annual
Income
109688
109981
112139
113420
114101
115100
116330
116339
117907
119071
58603
58623
61579
62180
62202
68041
68407
69618
73079
75900
77129
79618
81131
86246
89167
89576
92296
93614
93954
95937
100846
103276
104112
Number of
People in
Household
3
5
4
5
5
5
5
6
7
5
5
4
2
2
5
2
4
3
4
5
3
6
4
6
5
5
4
5
6
5
4
2
5
Gender (0 = Male; 1
= Female)
1
1
1
1
0
0
0
0
0
1
1
1
1
0
1
0
1
1
0
1
1
0
0
1
1
1
0
1
1
1
0
1
1
7598
7783
17737
7824
6552
11232
6540
4200
7225
5370
4476
2800
7839
3472
8854
8900
12791
12712
13321
8802
14369
7908
17840
15107
12070
6389
6606
6291
7425
11436
7612
7515
13115
11870
8450
16324
9331
9184
16803
10709
14456
16634
12227
13476
14554
9393
14594
45
74
56
30
57
41
23
28
23
45
33
42
39
60
57
41
67
73
57
64
24
25
34
78
34
34
41
62
57
23
78
36
44
75
70
38
35
65
68
48
24
46
43
58
66
68
74
105119
105925
106084
108616
109038
109585
37834
38940
42145
48677
48997
49058
49609
53279
53917
54716
126306
130893
134488
135711
139701
142014
142857
143182
150987
152041
154702
155552
157329
163794
164108
165851
172497
174458
177517
183779
185111
186467
189137
194351
194380
197358
197400
198650
202859
203591
206216
4
3
6
3
2
5
5
5
5
5
4
1
4
1
5
5
5
5
5
4
5
4
6
5
5
2
3
1
3
5
4
4
5
5
4
5
4
4
6
5
5
5
5
5
5
4
5
0
1
0
1
0
1
0
0
0
1
1
1
1
0
0
0
0
1
1
0
1
1
0
1
1
1
0
1
0
1
0
0
1
0
1
0
0
0
0
1
0
0
1
0
1
1
1
6628
11240
13101
14034
17837
7849
10578
11325
7105
16460
8390
14956
10903
12054
11697
12781
17456
12835
13403
15051
14225
11196
11475
5605
9890
13227
11200
9600
15703
6486
9430
7755
8100
14821
10650
12589
11600
13000
17065
16500
8600
11900
16723
16759
32
61
42
60
64
53
62
78
44
58
27
68
21
70
38
25
30
70
37
40
29
54
52
65
72
40
36
43
38
73
41
35
21
59
56
42
46
34
70
55
38
51
66
43
207679
210498
210678
211249
211961
212851
213035
214457
215442
220178
220403
220893
221223
221498
222618
229072
229685
230228
235617
238087
240768
242529
243765
244625
245208
247648
249805
252033
252812
257143
258167
258640
261020
266223
266269
267565
268380
269431
269839
270441
272795
274846
276250
277231
2
5
5
5
6
2
5
5
2
5
3
5
4
5
5
5
6
5
5
5
5
4
5
2
4
5
4
4
5
1
4
2
3
5
5
5
4
4
6
5
2
4
5
5
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
1
0
0
le: BUS520 Module 2 SLP Template, Doe.doc
FILL IN ALL CELLS THAT ARE HIGHLIGHTED IN YELLOW
QUESTION 1: Generate a 95\% confidence interval for the following two variables by hand: Annual Amount Spen
Recall: The formula for a confidence interval when the population standard deviation is unknown is: 𝑥ҧ
Average Annual Amount Spent on Organic Food (𝑥 )̅
t-value from the t-table (t )
standard deviation for this variable (s )
number of observations (n )
Margin of Error
Upper Limit of Confidence Interval
Lower Limit of Confidence Interval
#DIV/0!
#DIV/0!
#DIV/0!
hand: Annual Amount Spent on Organic Food and Age.
𝑠
known is: 𝑥ҧ ± 𝑡 ∗ ( 𝑛)
Average Age (𝑥 )̅
t-value from the t-table (t )
standard deviation for this variable (s )
number of observations (n )
Margin of Error
Upper Limit of Confidence Interval
Lower Limit of Confidence Interval
#DIV/0!
#DIV/0!
#DIV/0!
FILL IN ALL CELLS THAT ARE HIGHLIGHTED IN YELLOW
QUESTION 2: Generate a 95\% confidence interval for the following two variables using the
Excel formula =CONFIDENCE.T(): Annual Income and Number of People in the Household.
Remember, this formula will just give you the margin of error. You will still need to add it to
the mean and subtract it from the mean to get the upper and lower limits of the confidence
interval.
margin of error from the =CONFIDENCE.T() formula
Average Annual Income
Upper Limit of Confidence Interval
Lower Limit of Confidence Interval
margin of error from the =CONFIDENCE.T() formula
Average Number of People
Upper Limit of Confidence Interval
Lower Limit of Confidence Interval
QUESTION 3a: Interpret the confidence intervals for Average Annual Income.
QUESTION 3b: Interpret the confidence intervals for Average Number of People
0
0
0
0
FILL IN ALL CELLS THAT ARE HIGHLIGHTED IN YELLOW
QUESTION 4: The client insists the average income of his organic food
customers is $150,000. Conduct a hypothesis test at the 0.10 level to test his
statement. What is your decision?
Step 1: State the Null and Alternate Hypotheses
Null Hypothesis
Alternate Hypothesis
Step 2: Determine Alpha (Stated in Question)
Step 3: Determine Which Test Statistic Will Be Used
Step 4: Formulate a Decision Rule
Step 5: Make a Decision
Hint: This will be a 2-tail t-test.
0.10
...
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