o satisfy the desired margin of error, a sample size no smaller than is needed.

A study is designed to determine the effect of an office-training course on typing productivity. Fifteen typists who have not taken the course are randomly selected. The investigator assigns 20 pages of equally difficult text to be typed by each typist both before and after completing the training course. The investigator wants to find out whether the training course has reduced the number of errors by more than 10. Define d = Before − After. Significance level  What conclusion should we reach if the p-value is 0.113?

Find the power of the test for each combination of effect size and total sample size below (remember, when entering sample sizes into jamovi, you are entering the sample size for one group), and round your answers to three decimal places.Assuming effect size = 0.5: i. When total n = 6, power =  ii. When total n = 30, power =  iii. When total n = 80, power = For effect size = 0.8: i. When total n = 6, power =  ii. When total n = 30, power =iii. When total n = 80, power =

Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottleneck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (inch) from the last six samples are:   BOTTLE Sample 1 2 3 4 1 0.694 0.622 0.698 0.69 2 0.687 0.611 0.697 0.613 3 0.671 0.680 0.695 0.602 4 0.610 0.615 0.685 0.678 5 0.680 0.624 0.618 0.614 6 0.685 0.693 0.607 0.669     What would be the lower control limits of a 3-sigma ?¯x¯ chart? ( x bar chart )