# Two machines produce metal parts. The mean of the weight of these parts is of interest. The following data have been collected Machine 1 N 30 x(dash) = 0.984 σ 3.67 Machine 2 n 35 x (dash) 0.907 σ 3.1...

Two machines produce metal parts. The mean of the weight of these parts is of interest. The following data have been collected

Machine 1

N 30

x(dash) = 0.984

σ 3.67

Machine 2

n 35

x (dash) 0.907

σ 3.11

a. Do both machines produce parts with a statistical same mean weight? State your null and alternative hypothesis, and use a 1% level of significance.

b. If we want the confidence interval to have a half width of 0.05, how many pieces should be collected?   Due to insufficieint time , i will not answer question (b) .

Thank you

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