The CVS Pharmacy located on US 17 in Murrells Inlet has been one of the busiest pharmaceutical retail stores in South Carolina for many years. To try and capture more business in the area, CVS top management opened another store about 6 miles west on SC 707. After a few months, CVS management decided to compare the business volume at the two stores. One way to measure business volume is to count the number of cars in the store parking lots on random days and times. The results of the survey from the last 3 months of the year are reported below. To explain, the first observation was on October 2 at 20:52 military time (8:52 p.m.). At that time there were four cars in the US 17 lot and nine cars in the SC 707 lot. At the 0.05 significance level, is it reasonable to conclude that, based on vehicle counts, the US 17 store has more business volume than the SC 707 store? Vehicles Count Date Time US 17 SC 707 Oct 2 20:52 4 9 Oct 11 19:30 5 7 Oct 15 22:08 9 12 Oct 19 11:42 4 5 Oct 25 15:32 10 8 Oct 26 11:02 9 15 Nov 3 11:22 13 7 Nov 5 19:09 20 3 Nov 8 15:10 15 14 Nov 9 13:18 15 11 Nov 15 22:38 13 11 Nov 17 18:46 16 12 Nov 21 15:44 17 8 Nov 22 15.34 15 3 Nov 27 21:42 20 6 Nov 29 9:57 17 13 Nov 30 17:58 5 9 Dec 3 19:54 7 13 Dec 15 18:20 11 6 Dec 16 18:25 14 15 Dec 17 11:08 8 8 Dec 22 21:20 10 3 Dec 24 15:21 4 6 Dec 25 20:21 7 9 Dec 30 14:25 19 4 Click here for the Excel Data File State the decision rule: H0: μ US 17 − μ SC 707 = μd ≤ 0 H1: μd > 0. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

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The CVS Pharmacy located on US 17 in Murrells Inlet has been one of the busiest pharmaceutical retail stores in South Carolina for many years. To try and capture more business in the area, CVS top management opened another store about 6 miles west on SC 707. After a few months, CVS management decided to compare the business volume at the two stores. One way to measure business volume is to count the number of cars in the store parking lots on random days and times. The results of the survey from the last 3 months of the year are reported below. To explain, the first observation was on October 2 at 20:52 military time (8:52 p.m.). At that time there were four cars in the US 17 lot and nine cars in the SC 707 lot. At the 0.05 significance level, is it reasonable to conclude that, based on vehicle counts, the US 17 store has more business volume than the SC 707 store?

			Vehicles Count
Date	Time	US 17	SC 707
Oct 2	20:52		4	9
Oct 11	19:30		5	7
Oct 15	22:08		9	12
Oct 19	11:42		4	5
Oct 25	15:32		10	8
Oct 26	11:02		9	15
Nov 3	11:22		13	7
Nov 5	19:09		20	3
Nov 8	15:10		15	14
Nov 9	13:18		15	11
Nov 15	22:38		13	11
Nov 17	18:46		16	12
Nov 21	15:44		17	8
Nov 22	15.34		15	3
Nov 27	21:42		20	6
Nov 29	9:57		17	13
Nov 30	17:58		5	9
Dec 3	19:54		7	13
Dec 15	18:20		11	6
Dec 16	18:25		14	15
Dec 17	11:08		8	8
Dec 22	21:20		10	3
Dec 24	15:21		4	6
Dec 25	20:21		7	9
Dec 30	14:25		19	4

Click here for the Excel Data File

State the decision rule: H₀: μ _{US 17} − μ _{SC 707} = μ_d ≤ 0 H₁: μ_d > 0. (Round your answer to 3 decimal places.)

Compute the value of the test statistic. (Round your answer to 3 decimal places.)

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