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Suppose Al's Aviation claims their airplanes can hold an average of 602 luggage bags at once. A random sample of 20 airplanes is taken, which leads to a sample mean of 568 bags with a sample standard deviation of 80 bags. Using this sample, a test is constructed about whether the actual average number of bags the airplanes can hold is less than what Al's Aviation claims, using a significance level of 0.01. (a) What are the null and alternative hypotheses? Ho: р ◆ 602- HA: р 602- (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.05 < p-value < 0.10 (d) Based on the p-value, those conducting the test should fail to reject the null hypothesis. (e) This data does not provide sufficient evidence to conclude that the actual average number of bags the airplanes can hold is less than what Al's Aviation claims.

Suppose Al's Aviation claims their airplanes can hold an average of 602 luggage bags at once. A random sample of 20 airplanes is taken, which leads to a sample mean of 568 bags with a sample standard deviation of 80 bags. Using this sample, a test is constructed about whether the actual average number of bags the airplanes can hold is less than what Al's Aviation claims, using a significance level of 0.01. (a) What are the null and alternative hypotheses? Ho: р ◆ 602- HA: р 602- (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.05 < p-value < 0.10 (d) Based on the p-value, those conducting the test should fail to reject the null hypothesis. (e) This data does not provide sufficient evidence to conclude that the actual average number of bags the airplanes can hold is less than what Al's Aviation claims.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Suppose Al's Aviation claims their airplanes can hold an average of 602 luggage bags at once. A random sample of 20 airplanes is taken, which leads to a sample mean of 568 bags with a sample standard deviation of 80 bags. Using this sample, a test is constructed about whether the actual average number of bags the airplanes can hold is less than what Al's Aviation claims, using a significance level of 0.01. (a) What are the null and alternative hypotheses? 602- Ho: P HA: P ◆ 602- (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.05 < p-value < 0.10 (d) Based on the p-value, those conducting the test should fail to reject the null hypothesis. Check (e) This data does not provide sufficient evidence to conclude that the actual average number of bags the airplanes can hold is less than ◆ what Al's Aviation claims.
Transcribed Image Text:Suppose Al's Aviation claims their airplanes can hold an average of 602 luggage bags at once. A random sample of 20 airplanes is taken, which leads to a sample mean of 568 bags with a sample standard deviation of 80 bags. Using this sample, a test is constructed about whether the actual average number of bags the airplanes can hold is less than what Al's Aviation claims, using a significance level of 0.01. (a) What are the null and alternative hypotheses? 602- Ho: P HA: P ◆ 602- (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.05 < p-value < 0.10 (d) Based on the p-value, those conducting the test should fail to reject the null hypothesis. Check (e) This data does not provide sufficient evidence to conclude that the actual average number of bags the airplanes can hold is less than ◆ what Al's Aviation claims.
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