The extrusion length of Twizzles follows a normal distribution with a population
ID: 3230857 • Letter: T
Question
Explanation / Answer
1) null hypothesis: mean =15
alternate hypothesis: mean>15
2)significance level =0.05
3)statistic : z as we know population std deviation
4)decision rule : reject Ho if z>1.645
5)here std error of mean =std deviation/(n)1/2 =0.0456
hence test stat z=(X-mean)/std error =(15.1-15)/0.0456=2.191
as test stat falls into rejection region , we reject null hypothesis
6) there is sufficient evidence to conclude at 0.05 level that mean cutting length is greater then 15 inches
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