Tata Steel Company manufactures steel bars. If the production process is working properly, it turns out steel bars that are normally distributed with...

Tata Steel Company manufactures steel bars. If the production process is working properly, it turns out steel bars that are normally distributed with mean length of at least 2.8 feet. Longer steel bars can be used or altered, but shorter bars must be scrapped. You select a sample of 25 bars; the mean length is 2.73 feet, and the sample standard deviation is 0.20 foot.

1. If you test the null Hypothesis at the 0.05 level of significance, what decision do you make using the critical value approach to hypothesis testing?

1. The test hypothesis isHo:µ=2.8Ha:µ not equal to 2.8The test statisitic isZ=(xbar-mean)/(s/vn)=(2.73-2.8)/(0.2/5)=-1.75The p-value is 2*P(Z<-1.75)= 0.0801 (check standard normal...