What is the null and alternative hypothesis for the following problem? Thank you

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 7PPS
icon
Related questions
Question

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
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.)
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.)
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt