In a sample of 80 ten-penny nails, the average weight was 1….

In a sample of 80 ten-penny nails, the average weight was 1.56 g and the standard deviation was 0.1 g. Find 98% confidence interval for the mean weight of this type of nail. How many nails must be sampled so that a 98% confidence interval will specify the mean within 01 g? What is the confidence level of the interval (1.54, 1.58)? In a sample of 80 ten-penny nails, the average weight was 1.56 g and the standard deviation was 0.1 g. Find 98% confidence interval for the mean weight of this type of nail. How many nails must be sampled so that a 98% confidence interval will specify the mean within 01 g? What is the confidence level of the interval (1.54, 1.58)?

Copper wires are coated with a thin plastic coating.  Sample…

Copper wires are coated with a thin plastic coating.  Samples of four wires are taken every hour, and the thickness of the coating (in mils) is measured.  The data from the last 30 samples are presented in the table. The means are  = 150.075, and  = 6.97. Calculate the 3σ control limit for the R chart. Is the variance under control? If not delete the samples that are out of control and recompute and . Compute the 3σ control limits for the chart. Based on the 3σ limits, is the process mean in control?  If not, at what point is it first detected to be out of control?

A new process for producing a type of resin is supposed to h…

A new process for producing a type of resin is supposed to have a mean cycle time of 3.5 hours per batch. Six batches are produced, and their cycle times, in hours were: 3.45        3.47        3.57        3.52        3.40        3.63 What are the null and alternate hypothesis to verify if the mean cycle time is equal or greater than 3.5 hours per batch? Calculate the test statistic. Can you conclude that the mean cycle time is equal or greater than 3.5 hours?