In: Statistics and Probability
A certain adjustment to a machine will change the length of the parts it is making but will not affect the standard deviation. The length of the parts is normally distributed and the standard deviation is 0.5 mm. After an adjustment is made, a random sample of 12 parts is taken to determine the mean length of parts now being produced. The resulting sample mean is x with bar on top = 76.1 mm.
What is the point estimate for the mean length of all parts now being produced? (to one decimal place).
What is the margin of error for a 98% confidence interval? (to two decimal places)
What are the lower and upper limits for a 98% confidence interval for the population mean. (to two decimal places).
Lower Limit: mm. less than mu less than Upper Limit: mm
Refer t-table or use excel function "=T.INV.2T(0.02,11)" to find the critical value of t.