A machine that is programmed to package 3.00 pounds of cereal in each cereal box is being tested for its accuracy. In a sample of 49 cereal boxes, the mean and the standard deviation are calculated as 3.05 pounds and 0.14 pound, respectively. a. Specify the null and the alternative hypotheses to determine if the machine is working improperly, that is, it is either underfilling or overfilling the cereal boxes. Ho: 3; versus HA: b-1. Calculate the value of the test statistic. Note: Round final answer to 4 decimal places. Test statistic b-2. Find the p-value. Note: Do not round the p-value when selecting the appropriate interval. p-value < 0.01 O p-value ≥ 0.10 O 0.05 p-value < 0.10 0.01 p-value < 0.02 O 0.02 p-value < 0.05 c-1. What is the conclusion at the 5% significance level? ○ Do not reject Ho since the p-value is smaller than significance level. O Do not reject Ho since the p-value is greater than significance level. ○ Reject Ho since the p-value is smaller than significance level. ○ Reject Ho since the p-value is greater than significance level. c-2. Can you conclude that the machine is not working properly? 00 ○ No Yes 3
A machine that is programmed to package 3.00 pounds of cereal in each cereal box is being tested for its accuracy. In a sample of 49 cereal boxes, the mean and the standard deviation are calculated as 3.05 pounds and 0.14 pound, respectively. a. Specify the null and the alternative hypotheses to determine if the machine is working improperly, that is, it is either underfilling or overfilling the cereal boxes. Ho: 3; versus HA: b-1. Calculate the value of the test statistic. Note: Round final answer to 4 decimal places. Test statistic b-2. Find the p-value. Note: Do not round the p-value when selecting the appropriate interval. p-value < 0.01 O p-value ≥ 0.10 O 0.05 p-value < 0.10 0.01 p-value < 0.02 O 0.02 p-value < 0.05 c-1. What is the conclusion at the 5% significance level? ○ Do not reject Ho since the p-value is smaller than significance level. O Do not reject Ho since the p-value is greater than significance level. ○ Reject Ho since the p-value is smaller than significance level. ○ Reject Ho since the p-value is greater than significance level. c-2. Can you conclude that the machine is not working properly? 00 ○ No Yes 3
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter13: Regression And Forecasting Models
Section13.4: Multiple Regression Models
Problem 17P: The owner of a restaurant in Bloomington, Indiana, has recorded sales data for the past 19 years. He...
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