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a) A survey was conducted to investigate the number of parcel distribution in a company Courier ABC. The survey was distributed into five different departments. To test the hypothesis that the number of parcel per hour is equal among these five departments, a simple random sample of 100 records are identified. Given the hypotheses as below, Ho: P₁ P2 P3 = P4 = P5 HA: At least one of the p, is not equal. = i. If the resulting of x² value were 16 parcel per hour, what conclusion would you reach when using a test with significance level, a = 0.01? ii What conclusion would be appropriate at significance level, a = 0.05 if the resulting of x² value were 18? iii. If there were only four departments rather than five, what would you conclude if x² value were 19 and a test with a = 0.025 was used?

a) A survey was conducted to investigate the number of parcel distribution in a company Courier ABC. The survey was distributed into five different departments. To test the hypothesis that the number of parcel per hour is equal among these five departments, a simple random sample of 100 records are identified. Given the hypotheses as below, Ho: P₁ P2 P3 = P4 = P5 HA: At least one of the p, is not equal. = i. If the resulting of x² value were 16 parcel per hour, what conclusion would you reach when using a test with significance level, a = 0.01? ii What conclusion would be appropriate at significance level, a = 0.05 if the resulting of x² value were 18? iii. If there were only four departments rather than five, what would you conclude if x² value were 19 and a test with a = 0.025 was used?

A First Course in Probability (10th Edition)
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) A survey was conducted to investigate the number of parcel distribution in a company Courier ABC. The survey was distributed into five different departments. To test the hypothesis that the number of parcel per hour is equal among these five departments, a simple random sample of 100 records are identified. Given the hypotheses as below, Ho: P₁ P2 P3 = P4 = P5 HA: At least one of the p, is not equal. i. If the resulting of x² value were 16 parcel per hour what conclusion would you reach when using a test with significance level, a = = 0.01? ii What conclusion would be appropriate at significance level, a = 0.05 if the resulting of x² value were 18? iii. If there were only four departments rather than five, what would you conclude if x² value were 19 and a test with a = 0.025 was used?
Transcribed Image Text:a) A survey was conducted to investigate the number of parcel distribution in a company Courier ABC. The survey was distributed into five different departments. To test the hypothesis that the number of parcel per hour is equal among these five departments, a simple random sample of 100 records are identified. Given the hypotheses as below, Ho: P₁ P2 P3 = P4 = P5 HA: At least one of the p, is not equal. i. If the resulting of x² value were 16 parcel per hour what conclusion would you reach when using a test with significance level, a = = 0.01? ii What conclusion would be appropriate at significance level, a = 0.05 if the resulting of x² value were 18? iii. If there were only four departments rather than five, what would you conclude if x² value were 19 and a test with a = 0.025 was used?
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