(Round all intermediate calculations to at least 4 decimal places.) A machine th

Question

(Round all intermediate calculations to at least 4 decimal places.) A machine that is programmed to package 1.95 pounds of cereal in each cereal box is being tested for its accuracy. In a sample of 26 cereal boxes, the mean and standard deviation are calculated as 1.99 pounds and 0.15 pound, respectively Use Table 2 a. Select 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 0H0 21.95; HA 1.95 Ho: 1.95, Ha: # 1.95 b. Calculate the value of the test statistic. (Round your answer to 2 decimal places.) Test statistic 1.36 c-1. Approximate the p-value (8) 0.10

Explanation / Answer

Solution:- Given n = 26 , X = 1.99 , s = 0.15

a. option C.

b. Test statistic = (1.99 - 1.95)/(0.15/sqrt(26)) = 1.3597 = 1.36(rounded)

c - 1. option A.

c - 2 . optionC.

d - 1. Criticle value = +/- 1.708

d - 2 option A.

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Note :- Your answer are correct.

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