SOLUTION: 3. A manufacturer packs sugar into plastic bags . Each bag is to hold 5 kgs whenever the production is under control. At one period, a sample of 17 bags was taken to check the pr
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Question 1182429: 3. A manufacturer packs sugar into plastic bags . Each bag is to hold 5 kgs whenever the production is under control. At one period, a sample of 17 bags was taken to check the process and was to found to weigh 5.6 kgs with SD of 0.75 kgs. Is the manufacturing process under control? Use 𝛼=0.01
Thanks in advance!
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is a 2-way t-test, t=0.995, df=16
critical value is |t| < 2.947
t=( x bar-mean)/s/sqrt(n)
=(5.6-5)*sqrt(17)/0.75
=3.298
This value is greater than the critical value, so reject Ho and the process is not in control with the parameters desired.
p-value=0.0045
Notice that the p-value is < 0.01, which is another way to say Ho is rejected.
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