A. Find the value of the test statistic. (Round to three or more decimal places.)B. Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.)C. At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ? The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerablydepending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on thesame 10 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below.DayStore 1Store 2Difference(Store 1 - Store 2)Send data to calculator13862303831 301356 780 2155186498492358406839782 916788509816 343 664 89910230 73471261 58 -77 -34 113 -70 187Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question byperforming a hypothesis test regarding µ (which is u with a letter "d" subscript), the population mean daily sales difference between the two stores. Assumethat this population of differences (Store 1 minus Store 2) is normally distributed.Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers asspecified. (If necessary, consult a list of formulas.)8Aa

From the provided information, Sample size (n) = 10 Level of significance (α) = 0.05

Answered: The owner of a chain of mini-markets…

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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Question

A. Find the value of the test statistic. (Round to three or more decimal places.)

B. Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.)

C. At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ?

The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably
depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the
same 10 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below.
Day
Store 1
Store 2
Difference
(Store 1 - Store 2)
Send data to calculator
1
386
2
30
3
831 301
356 780 215
51
86
4
984
923
5
840
6
839
782 916
7
8
850
9
816 343 664 899
10
230 734
712
61 58 -77 -34 113 -70 187
Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by
performing a hypothesis test regarding µ (which is u with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume
that this population of differences (Store 1 minus Store 2) is normally distributed.
Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as
specified. (If necessary, consult a list of formulas.)
8
Aa

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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