A marketing analyst is studying the variability in customer purchase amounts between shopping mall stores and “big box” discount stores. She suspects the variability is different between those stores due to the nature of the customers involved. To investigate this issue in detail, she compiled two random samples, each consisting of 26 purchase amounts at shopping mall stores (sample 1) and discount stores (sample 2). (You may find it useful to reference the appropriate table: chi-square table or F table) Click here for the Excel Data File a. Select the hypotheses to test whether the variance of the purchase amounts differs between the two types of stores. multiple choice 1 H0: σ12 / σ22 = 1, HA: σ12 / σ22 ≠ 1 H0: σ12 / σ22 ≤ 1, HA: σ12 / σ22 > 1 H0: σ12 / σ22 ≥ 1, HA: σ12 / σ22 < 1 b. Construct the 95% confidence interval for the ratio of the population variances. Assume that purchase amounts are normally distributed. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)
A marketing analyst is studying the variability in customer purchase amounts between shopping mall stores and “big box” discount stores. She suspects the variability is different between those stores due to the nature of the customers involved. To investigate this issue in detail, she compiled two random samples, each consisting of 26 purchase amounts at shopping mall stores (sample 1) and discount stores (sample 2). (You may find it useful to reference the appropriate table: chi-square table or F table) Click here for the Excel Data File a. Select the hypotheses to test whether the variance of the purchase amounts differs between the two types of stores. multiple choice 1 H0: σ12 / σ22 = 1, HA: σ12 / σ22 ≠ 1 H0: σ12 / σ22 ≤ 1, HA: σ12 / σ22 > 1 H0: σ12 / σ22 ≥ 1, HA: σ12 / σ22 < 1 b. Construct the 95% confidence interval for the ratio of the population variances. Assume that purchase amounts are normally distributed. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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A marketing analyst is studying the variability in customer purchase amounts between shopping mall stores and “big box” discount stores. She suspects the variability is different between those stores due to the nature of the customers involved. To investigate this issue in detail, she compiled two random samples, each consisting of 26 purchase amounts at shopping mall stores (sample 1) and discount stores (sample 2). (You may find it useful to reference the appropriate table: chi-square table or F table)
Click here for the Excel Data File
a. Select the hypotheses to test whether the variance of the purchase amounts differs between the two types of stores.
multiple choice 1
H0: σ12 / σ22 = 1, HA: σ12 / σ22 ≠ 1
H0: σ12 / σ22 ≤ 1, HA: σ12 / σ22 > 1
H0: σ12 / σ22 ≥ 1, HA: σ12 / σ22 < 1
b. Construct the 95% confidence interval for the ratio of the population variances. Assume that purchase amounts are normally distributed. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)
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