Statistic 15b c

15 a Statistical Concepts Exercise 3 in chapter 21

a . The null and alternate hypotheses are : Defect rate and volume are independent (Volume predicts defect rate : Defect rate and volume are dependent (Volume does not predict defect rate

b . The population is all shifts at the plant . The sample is a random sample of results from 160 shifts at the plant

c . Since the p-value of F statistic is less than .001 . So we can reject the null hypothesis at level of significance .05 and conclude that defect rate and volume are dependent

. In other words , Volume significantly predicts defect rate

d . Yes , since the p-value of t statistics (beta coefficient ) is less than .001 , I can reject the null hypothesis that the slope is 0

e . Yes , I can reject the null hypothesis that there is no linear relationship between the dependent and independent variable because the p-value is less than .001

f . Yes , I can reject the null hypothesis that the population correlation coefficient is 0

g . Defect rate -97 .073 0 .027 (Volume -97 .073 .027 x 4200 16 .327

The defect rate will be 16 .327 -4 .92 ) on a day when the volume is 4200 units . The average will be 16 .327 for all days with production volumes of 4200

h . The estimates differ because on a single day there will be chance of error on the estimate . However , for all days the average error on the estimate will be zero

15 b Data Analysis...