The manufacturer of an MP3 player wanted to know whether a 10% reduction in price is enough to increase the sales of its product.  To investigate, the owner randomly selected 8 outlets and sold the MP3 player at the reduced price. At 7 randomly selected outlets, the MP3 player was sold at the regular price.  Reported below is the number of units sold last month at the regular and reduced prices at the randomly selected outlets.  Regular (7 outlets) - 138, 127, 129, 114, 114, 126, 98  Reduced (8 outlets) - 122, 135, 151, 133, 113, 129, 134, 133 At the 0.050 significance level, can the manufacturer conclude that the price reduction resulted in an increase in sales? Hint: for the calculations, assume the reduced price as the first sample.  Compute the pooled estimate of the variance (round to 3 decimal places)  Compute the test statistic (round to 2 decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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The manufacturer of an MP3 player wanted to know whether a 10% reduction in price is enough to increase the sales of its product. 

To investigate, the owner randomly selected 8 outlets and sold the MP3 player at the reduced price. At 7 randomly selected outlets, the MP3 player was sold at the regular price. 

Reported below is the number of units sold last month at the regular and reduced prices at the randomly selected outlets. 

Regular (7 outlets) - 138, 127, 129, 114, 114, 126, 98 

Reduced (8 outlets) - 122, 135, 151, 133, 113, 129, 134, 133

At the 0.050 significance level, can the manufacturer conclude that the price reduction resulted in an increase in sales? Hint: for the calculations, assume the reduced price as the first sample. 

  • Compute the pooled estimate of the variance (round to 3 decimal places) 
  • Compute the test statistic (round to 2 decimal places) 
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