Question

In: Statistics and Probability

The manufacturer of an MP3 player wanted to know whether a 10% reduction in price is...

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 eight outlets and sold the MP3 player at the reduced price. At seven 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 price 136 128 88 111 119 122 94
Reduced price 128 131 151 134 117 124 130 131

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At the 0.010 significance level, can the manufacturer conclude that the price reduction resulted in an increase in sales? Hint: For the calculations, assume reduced price as the first sample.

  1. Compute the pooled estimate of the variance. (Round your answer to 3 decimal places.)

  1. Compute the test statistic. (Round your answer to 2 decimal places.)

  1. State your decision about the null hypothesis.

  • Fail to reject H0

  • Reject H0

Solutions

Expert Solution

Let denote average sales at regular price and reduced price respectively.


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