The retailing manager wants to determine whether product location has any effect on the sale of products or its only Brand Spinney’s which has an impact. Three different locations are considered: Location A, Location B and Location C. A random sample of 18 stores is selected, with 6 stores randomly assigned to each aisle location. The size of the display area and price of the product are constant for all the stores. At the end of the one-month trial period, the sales volumes (in thousands of dollars) of the product in each store were as shown: Summary stats for samples Location A Location B Location C Sample sizes 6 6 6 Sample means 7.467 3.467 5.133 Sample standard deviations 1.648 0.653 1.418 Sample variances 2.715 0.427 2.011 Weights for pooled variance 0.333 0.333 0.333 Number of samples 3 Total sample size 18 Grand mean 5.356 Pooled variance 1.717 Pooled standard deviation 1.310 One Way ANOVA table Source SS df MS F p-value Between variation 48.444 2 24.222 14.105 0.0004 Within variation 25.760 15 1.717 Total variation 74.204 17 Confidence intervals for mean differences Confidence level 95.0% Tukey method Difference Mean diff Lower Upper Location A - Location B 4.000 2.037 5.963 Location A - Location C 2.333 0.370 4.297 Location B - Location C -1.667 -3.630 0.297 At the 0.05 level of significance, is there evidence of a significant difference in average sales among the various locations? Why (statistically) To test at the 0.05 level of significance whether the average sales volumes in thousands of dollars are different across the three store locations, you need to conduct a test, also clearly mention Null and Alternative hypothesis Your decision? If appropriate, which locations appear to differ significantly in average sales? (Use = 0.05), what should the retailing manager conclude? Fully describe the retailing manager’s options with respect to various locations?

The retailing manager wants to determine whether product location has any effect on the sale of products or its only Brand Spinney’s which has an impact. Three different locations are considered: Location A, Location B and Location C. A random sample of 18 stores is selected, with 6 stores randomly assigned to each aisle location. The size of the display area and price of the product are constant for all the stores. At the end of the one-month trial period, the sales volumes (in thousands of dollars) of the product in each store were as shown: Summary stats for samples Location A Location B Location C Sample sizes 6 6 6 Sample means 7.467 3.467 5.133 Sample standard deviations 1.648 0.653 1.418 Sample variances 2.715 0.427 2.011 Weights for pooled variance 0.333 0.333 0.333 Number of samples 3 Total sample size 18 Grand mean 5.356 Pooled variance 1.717 Pooled standard deviation 1.310 One Way ANOVA table Source SS df MS F p-value Between variation 48.444 2 24.222 14.105 0.0004 Within variation 25.760 15 1.717 Total variation 74.204 17 Confidence intervals for mean differences Confidence level 95.0% Tukey method Difference Mean diff Lower Upper Location A - Location B 4.000 2.037 5.963 Location A - Location C 2.333 0.370 4.297 Location B - Location C -1.667 -3.630 0.297 At the 0.05 level of significance, is there evidence of a significant difference in average sales among the various locations? Why (statistically) To test at the 0.05 level of significance whether the average sales volumes in thousands of dollars are different across the three store locations, you need to conduct a test, also clearly mention Null and Alternative hypothesis Your decision? If appropriate, which locations appear to differ significantly in average sales? (Use = 0.05), what should the retailing manager conclude? Fully describe the retailing manager’s options with respect to various locations?

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

*Summary stats for samples*
		Location A	Location B	Location C
	Sample sizes	6	6	6
	Sample means	7.467	3.467	5.133
	Sample standard deviations	1.648	0.653	1.418
	Sample variances	2.715	0.427	2.011
	Weights for pooled variance	0.333	0.333	0.333

	Number of samples	3
	Total sample size	18
	Grand mean	5.356
	Pooled variance	1.717
	Pooled standard deviation	1.310

*One Way ANOVA table*
	Source	SS	df	MS	F	p-value
	Between variation	48.444	2	24.222	14.105	0.0004
	Within variation	25.760	15	1.717
	Total variation	74.204	17

*Confidence intervals for mean differences*
	Confidence level	95.0%
*Tukey method*
	Difference	Mean diff	Lower	Upper
	Location A - Location B	4.000	2.037	5.963
	Location A - Location C	2.333	0.370	4.297
	Location B - Location C	-1.667	-3.630	0.297

At the 0.05 level of significance, is there evidence of a significant difference in average sales among the various locations? Why (statistically)
To test at the 0.05 level of significance whether the average sales volumes in thousands of dollars are different across the three store locations, you need to conduct a test, also clearly mention Null and Alternative hypothesis
Your decision? If appropriate, which locations appear to differ significantly in average sales? (Use = 0.05), what should the retailing manager conclude? Fully describe the retailing manager’s options with respect to various locations?

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