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 49cereal 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 oroverfilling 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 statisticb-2. Find the p-value.Note: Do not round the p-value when selecting the appropriate interval.p-value < 0.01O p-value ≥ 0.10O 0.05p-value < 0.100.01 p-value < 0.02O 0.02 p-value < 0.05c-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○ NoYes3

A: Ho1 μ = 3.00; HA1 μ =3.00 B: the test statistic is = 2.50B-2: p-value = 0.0159choose option D…

Answered: A machine that is programmed to package…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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