What is the null and alternative hypothesis for the following problem? Thank you
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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What is the null and alternative hypothesis for the following problem? Thank you
![Store Size and Sales Data
17,190
16,220
17,920
17,680
15,910
19,780
15,370
17,300
12,130
12,810
15,870
12,700
21,400
14,570
17,140
14,590
17,930
18,020
16,660
20,250
17,610
$543,807.00
$504,917.00
$608,069.00
$545,425.00
$520,709.00
$641,804.00
$512,846.00
$557,963.00
$440,951.00
$490,761.00
$595,690.00
$473,763.00
$693,359.00
$478,152.00
$603,208.00
$518,693.00
$568,933.00
$573,917.00
$648,825.00
$697,456.00
$505,616.00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd49103b9-31ac-4615-8808-8f335979b5b8%2Fd8483399-58fb-4d45-86e1-0220603b8f44%2Fanu8r1d_processed.png&w=3840&q=75)
Transcribed Image Text:Store Size and Sales Data
17,190
16,220
17,920
17,680
15,910
19,780
15,370
17,300
12,130
12,810
15,870
12,700
21,400
14,570
17,140
14,590
17,930
18,020
16,660
20,250
17,610
$543,807.00
$504,917.00
$608,069.00
$545,425.00
$520,709.00
$641,804.00
$512,846.00
$557,963.00
$440,951.00
$490,761.00
$595,690.00
$473,763.00
$693,359.00
$478,152.00
$603,208.00
$518,693.00
$568,933.00
$573,917.00
$648,825.00
$697,456.00
$505,616.00
![A regional retailer would like to determine if the variation in average monthly store sales can, in part, be explained by the size of the store measured in square feet. A random sample of 21 stores was selected and
the store size and average monthly sales were computed. The results are shown in the accompanying table. Complete parts a through c below. Use a 0.025 significance level where needed.
Click the icon to view store size and average monthly sales data.
Click here to view the scatter plot a.
Click here to view the scatter plot d.
Click here to view the scatter plot c.
Based on the scatter plot, a positive linear relationship appears to exist between the two variables.
b. Calculate the sample correlation coefficient between store size and average monthly sales.
The correlation coefficient is 0.846
(Round to three decimal places as needed.)
c. Conduct a hypothesis test to determine if a positive correlation exists between store size and average monthly sales. Use a level of significance of 0.025
Identify the null and alternative hypotheses.
Ho: P
HA P
(Type integers or decimals. Do not round.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd49103b9-31ac-4615-8808-8f335979b5b8%2Fd8483399-58fb-4d45-86e1-0220603b8f44%2Fmr0hfb8_processed.png&w=3840&q=75)
Transcribed Image Text:A regional retailer would like to determine if the variation in average monthly store sales can, in part, be explained by the size of the store measured in square feet. A random sample of 21 stores was selected and
the store size and average monthly sales were computed. The results are shown in the accompanying table. Complete parts a through c below. Use a 0.025 significance level where needed.
Click the icon to view store size and average monthly sales data.
Click here to view the scatter plot a.
Click here to view the scatter plot d.
Click here to view the scatter plot c.
Based on the scatter plot, a positive linear relationship appears to exist between the two variables.
b. Calculate the sample correlation coefficient between store size and average monthly sales.
The correlation coefficient is 0.846
(Round to three decimal places as needed.)
c. Conduct a hypothesis test to determine if a positive correlation exists between store size and average monthly sales. Use a level of significance of 0.025
Identify the null and alternative hypotheses.
Ho: P
HA P
(Type integers or decimals. Do not round.)
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