calculate ** A machine that is programmed to package 1.20 pounds of cereal is be

Question

calculate **

A machine that is programmed to package 1.20 pounds of cereal is being tested for its accuracy. In a sample of 36 cereal boxes, the mean and standard deviation are calculated as 1.22 pounds and 0.06 pound, respectively. Use Table 2. Select the null and the alternative hypotheses to determine if the machine is working improperty, that is, it is either underfilling or overfilling the cereal boxes a. b.Calculate the value of the test statistic. (Round your intermediate calculations to 4 decimal places and final answer to a whole number.) Test statistic c-1. Approximate the p-value. 01

Explanation / Answer

Solutions :

( a ) H0: µ = 1.20; HA: µ 1.20

( b ) Test statistic = 2 ± 0.50

( c - 1 ) 0.05< p-value < 0.10

( c - 2 ) Do not reject H0 since the p-value is greater than .

( d - 1 ) critical value(s) = ± 2.03 ± 0.001

( d - 2 )   No

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