A food distribution company claims that a restaurantchain receives, on average, 26 pounds of freshvegetables on a daily basis. The standard deviationof these shipments is known to be 4.4 pounds. Thedistrict manager of the restaurant chain decides torandomly sample 35 shipments from the companyand finds a mean weight of 24.7 pounds. Test at a 3%level of significance to determine whether or not thefood distribution company sends less than 26 poundsof fresh vegetables.a. Check the TWO requirements that aresatisfied.The Central Limit Theorem applies.The a distribution is normal sincen > 30.The a distribution is normal since the xdistribution is normal.The p distribution is normal sincenp > 5 and nq > 5. b. Identify the null and alternative hypotheses.Ho: Select an answer v?HA: Select an answer?c. What type of hypothesis test should youconduct?| left-tailedright-tailedtwo-tailedd. Identify the appropriate significance level.Make sure to enter your answer as a decimal.e. Find the test statistic. Give your answer to 2decimal places.f. Find the p-value. Give your answer to 4decimal places.g. Select your decision.O reject the null hypothesis Ho, since p-value < afail to reject the null hypothesis Ho,since p-value > areject the null hypothesis Ho, since p-value > afail to reject the null hypothesis Ho,since p-value < ah. Select the statement below that bestrepresents the interpretation of the findings.There is sufficient evidence to supportthe claim that the food distributioncompany sends less than 26 pounds offresh vegetables daily.| There is not sufficient evidence tosupport the claim that the fooddistribution company sends less than 26pounds of fresh vegetables daily.The sample data does not support butalso does not discredit that the fooddistribution company sends 26 pounds offresh vegetables daily.

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Description: A food distribution company claims that a restaurantchain receives, on average, 26 pounds of freshvegetables on a daily basis. The standard deviationof these shipments is known to be 4.4 pounds. Thedistrict manager of the restaurant chain decides to

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Math

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and finds a mean weight of 24.7 pounds. Test at a 3% level of significance to determine whether or not the food distribution company sends less than 26 pounds of fresh vegetables.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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