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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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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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