PLEASE SHOW ALL YOUR WORK Two machines are used for filling plastic botles with

Question

PLEASE SHOW ALL YOUR WORK

Two machines are used for filling plastic botles with a net volume of 16.0 ounces. The fill volume can be assumedto be normal with standard deviation | 0.020 and 2-0.025 ounces. A member of the quality engineering staff suspects that both machines fill to the same mean net volume, whether or not this volume is 16.0 ounces. A random sample of 10 bottles is taken from the output of each machine. For machine 1: x1=16.015 and s1=0.0303 For machine 2: X2=16.005 and S2-0.0255 Do you think the engineer is correct? Use = 0.05. For hypothesis test, use all three methods: fixed significance level criteria, P-value, and confidence interval.

Explanation / Answer

p-value = 0.4356

As p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis

This means there are not sufficienct evidence to conclude that two machines have means different

Given Data Sample 1 Sample 2 Name Machine 1 Machine 2 mean 16.015 16.005 Sample size 10 10 Std. dev. 0.0303 0.0255

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