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 rando sample of the weekly grocery bills of two-person families in this town is given in the file P09_06.xlsx. Assume the national average amount spent on food for a four-person family is $150. a. The null hypothesis for this situation. p = 150 v The alternative hypothesis for this situation. p = 150 b. Is the sample evidence statistically significant? M Yes If so, at what significance levels can you reject the null hypothesis? 1%, 5% and 10% 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? Round your answers to one decimal place, if necessary. At the 1% significance level, if X is lower than or higher than , we would reject the null hypothesis. For which values of the sample mean would you reject the null hypothesis at the 10% level? Round your answers to one decimal place, if necessary. At the 10% significance level, if X is lower than or higher than we would reject the null hypothesis.
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 rando sample of the weekly grocery bills of two-person families in this town is given in the file P09_06.xlsx. Assume the national average amount spent on food for a four-person family is $150. a. The null hypothesis for this situation. p = 150 v The alternative hypothesis for this situation. p = 150 b. Is the sample evidence statistically significant? M Yes If so, at what significance levels can you reject the null hypothesis? 1%, 5% and 10% 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? Round your answers to one decimal place, if necessary. At the 1% significance level, if X is lower than or higher than , we would reject the null hypothesis. For which values of the sample mean would you reject the null hypothesis at the 10% level? Round your answers to one decimal place, if necessary. At the 10% significance level, if X is lower than or higher than we would reject the null hypothesis.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 two-person families in this town is given in the file P09_06.xlsx. Assume the national average amount spent on food for a four-person family is $150.
a. The null hypothesis for this situation.
P = 150 ✓
The alternative hypothesis for this situation.
H 150 v
b. Is the sample evidence statistically significant?
Yes
If so, at what significance levels can you reject the null hypothesis?
1%, 5% and 10%
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? Round your answers to one decimal place, if necessary.
At the 1% significance level, if X is lower than
or higher than
, we would reject the null hypothesis.
For which values of the sample mean would you reject the null hypothesis at the 10% level? Round your answers to one decimal place, if necessary.
At the 10% significance level, if X is lower than
or higher than
, we would reject the null hypothesis.
Transcribed Image Text:1
2
3
4
5
6
7
8
9
0
1
6
7
8
8
9
10
2
11
13 12
4 13
15
9
20
21
22
23
24
25
26
27
28
19
=0
#1
12
16
26
27
28
29
30
31
#3
32
34 33
#5
34
35
36
37
38
10
39
1
40
12
41
13 42
14 43
15
44
16
45
17
18
19
#7
18
39
A
Family
1
60
61
62
13
2
4
$5
3
4
5
6
7
14
15
16
17
18
19
20
21
22
23
24
25
46
47
48
49
50
51
52
53
B
Weekly food expense
$198.23
$143.53
$207.48
$134.55
$182.01
$189.84
с
$170.36
54
$163.72
55
$155.73 56
$203.73 57
58
59
60
61
$130.29
62
$170.73 63
$194.50 64
$171.14
65
$175.19 66
$177.25
67
$166.62
68
$135.54 69
$141.18 70
$158.48 71
72
73
$191.19
$172.66
$154.25
$179.03
$159.78
$157.42
$98.40
74
$181.63 75
$128.45 76
$190.84 77
$154.04 78
$190.22 79
$161.48 80
$113.42
81
$148.83
82
$197.68 83
$135.49 84
$146.72 85
$176.62 86
$154.60 87
$178.39
88
$186.32
89
$157.94
90
$116.35 91
$136.81 92
$195.58 93
$129.44
94
$146.84
95
$165.63 96
$158.97 97
$210.00 98
$175.46 99
$159.69 100
D
E
This is fictitious data.
$154.56
$152.95
$177.30
$129.23
$127.40
$167.48
$183.83
$157.39
$163.24
$165.01
$137.43
$177.37
$142.68
$150.04
$161.44
$166.13
$190.96
$187.19
$116.63
$159.73
$159.64
$142.44
$153.03
$143.12
$156.35
$182.70
$129.03
$119.06
$137.99
$144.20
$183.51
$169.67
$134.66
$202.94
$143.43
$170.52
$139.53
$159.31
$134.77
$165.48
$127.20
$168.16
$125.39
$167.96
$178.64
$134.38
$111.87
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