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b) Suppose we want to compare the mean daily sales of two restaurants located in the same town. The restaurants' total sales for each of 12 randomly selected days are given below: Restaurant2 Difference X₁- Day Restaurant1 (X₁) (x₂) X₂ 1 1005 918 87 2 2073 1971 102 3 873 825 48 4 1074 999 75 5 1932 1827 105 6 1338 1281 57 7 1449 1302 147 8 759 678 81 9 1905 1782 123 10 693 639 54 11 2106 2049 57 12 981 933 48 Conduct a paired t-test to determine whether there is a significant difference in the mean sales, use 5% significance. c) Show that the sample variance is an unbiased estimator of the population variance.

b) Suppose we want to compare the mean daily sales of two restaurants located in the same town. The restaurants' total sales for each of 12 randomly selected days are given below: Restaurant2 Difference X₁- Day Restaurant1 (X₁) (x₂) X₂ 1 1005 918 87 2 2073 1971 102 3 873 825 48 4 1074 999 75 5 1932 1827 105 6 1338 1281 57 7 1449 1302 147 8 759 678 81 9 1905 1782 123 10 693 639 54 11 2106 2049 57 12 981 933 48 Conduct a paired t-test to determine whether there is a significant difference in the mean sales, use 5% significance. c) Show that the sample variance is an unbiased estimator of the population variance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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b) Suppose we want to compare the mean daily sales of two restaurants located in the same town. The restaurants' total sales for each of 12 randomly selected days are given below: Restaurant2 Difference X₁- Day Restaurant1 (X₁) (x₂) X₂2 1 1005 918 87 2 2073 1971 102 3 873 825 48 4 1074 999 75 5 1932 1827 105 6 1338 1281 57 7 1449 1302 147 8 759 678 81 9 1905 1782 123 10 693 639 54 11 2106 2049 57 12 981 933 48 Conduct a paired t-test to determine whether there is a significant difference in the mean sales, use 5% significance. c) Show that the sample variance is an unbiased estimator of the population variance.
Transcribed Image Text:b) Suppose we want to compare the mean daily sales of two restaurants located in the same town. The restaurants' total sales for each of 12 randomly selected days are given below: Restaurant2 Difference X₁- Day Restaurant1 (X₁) (x₂) X₂2 1 1005 918 87 2 2073 1971 102 3 873 825 48 4 1074 999 75 5 1932 1827 105 6 1338 1281 57 7 1449 1302 147 8 759 678 81 9 1905 1782 123 10 693 639 54 11 2106 2049 57 12 981 933 48 Conduct a paired t-test to determine whether there is a significant difference in the mean sales, use 5% significance. c) Show that the sample variance is an unbiased estimator of the population variance.
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