(a)State the null hypothesis H0 and the alternative hypothesis H1.H0:H1:(b)Determine the type of test statistic to use. Type of test statistic: ▼(Choose one) (c)Find the value of the test statistic. (Round to three or more decimal places.) (d)Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)and(e)At the 0.10 level, can the owner conclude that the mean daily sales of the two stores 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 dependingon 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 sample ofdays. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below.Day12346 7Store 1667809879390275479850892Store 2579566579214187163755455Difference882433001768831695437(Store 1- Store 2)Send data to calculatorBased on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question byperforming a hypothesis test regarding u, (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.)

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Answered: a) State the null hypothesis H0 and…

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)	State the null hypothesis H0 and the alternative hypothesis H1 .
H0:
H1:
(b)	Determine the type of test statistic to use.
	Type of test statistic: ▼(Choose one)
(c)	Find the value of the test statistic. (Round to three or more decimal places.)

(d)	Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
and
(e)	At the 0.10 level, can the owner conclude that the mean daily sales of the two stores

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 sample of
days. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below.
Day
1
2
3
4
6 7
Store 1
667
809
879
390
275
479
850
892
Store 2
579
566
579
214
187
163
755
455
Difference
88
243
300
176
88
316
95
437
(Store 1- Store 2)
Send data to calculator
Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by
performing a hypothesis test regarding u, (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.)

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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