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Name: Sales manager of a chain restaurant wants to compare the mean daily sa
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Description: Sales manager of a chain restaurant wants to compare the mean daily sales of two restaurants with the same capacity located at different districts of the same city. Twelve days are selected at random and the sales data of the restaurants (‘$00) are l

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3BGP

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Sales manager of a chain restaurant wants to compare the mean daily sales of two restaurants with the same capacity located at different districts of the same city. Twelve days are selected at random and the sales data of the restaurants (‘$00) are listed in the table below. Test whether the mean daily sales of these two restaurants are the same at 5% level of significance.

*The table is in attached*

Provide your numerical answer of the following questions to Moodle.

a) Sample mean of differences (corrected to 2 decimal places)
b) Test statistic (corrected to 4 decimal places)
c) p-value (corrected to 7 decimal places)

Sales manager of a chain restaurant wants to compare the mean daily sales of two restaurants
with the same capacity located at different districts of the same city. Twelve days are selected
at random and the sales data of the restaurants ('$00) are listed in the table below. Test whether
the mean daily sales of these two restaurants are the same at 5% level of significance.
6.
Day
Restaurant 1
1
2
3
4
5
764
986
1010
1454
1910
2078
Restaurant 2
680
935
920
1304
1784
1973
Day
Restaurant 1
7
8.
9.
10
11
12
698
878
1079
1343
1937
2111
Restaurant 2
641
827
1001
1283
1829
2051
Provide your numerical answer of the following questions to Moodle.
a) Sample mean of differences (corrected to 2 decimal places)
b) Test statistic (corrected to 4 decimal places)
c) p-value (corrected to 7 decimal places)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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