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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
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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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: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.
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
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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