Q1) The director is considering introducing new packaging for an existing product. Two styles of packaging, X and Y, were proposed. The company decided to try the new packaging in a random sample of shops. The sample sizes and the results are given below: Packaging X Packaging Y Sample size 60 50 Mean sales 280 300 Standard deviation of sales 50 70 (a) Test, at the 0.05 level of significance, whether the sales for the product with Y packaging were significantly higher than that for the product with X packaging. (b) Compute the p-value and indicate whether it leads to the same conclusion.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q1) The director is considering introducing new packaging for an existing product.
Two styles of packaging, X and Y, were proposed. The company decided to try the new
packaging in a random sample of shops. The sample sizes and the results are given
below:
Packaging X
Packaging Y
Sample size
60
50
Mean sales
280
300
Standard deviation of sales
50
70
(a) Test, at the 0.05 level of significance, whether the sales for the product with Y
packaging were significantly higher than that for the product with X packaging.
(b) Compute the p-value and indicate whether it leads to the same conclusion.
Transcribed Image Text:Q1) The director is considering introducing new packaging for an existing product. Two styles of packaging, X and Y, were proposed. The company decided to try the new packaging in a random sample of shops. The sample sizes and the results are given below: Packaging X Packaging Y Sample size 60 50 Mean sales 280 300 Standard deviation of sales 50 70 (a) Test, at the 0.05 level of significance, whether the sales for the product with Y packaging were significantly higher than that for the product with X packaging. (b) Compute the p-value and indicate whether it leads to the same conclusion.
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