The factors that influence the breaking strength of a synthetic fiber are being studied. Four production machines and three operators are available to produce the fiber and a factorial design experiment is run using figure from the same production batch. The data for these experiments is below:

Operator Machine
1 2 3 4
1 109 110 108 110
110 115 109 108
2 110 110 111 114
112 111 109 112
3 116 112 114 120
114 115 119 117

(a) Analyze the data and draw conclusions. Use α=0.05.
(b) Prepare appropriate residual plots and comment on the model's adequacy.

Fran would like to estimate the mean amount of time it takes people in her town to travel to work. the town's population is 150,000 and about 90,000 of those are working adults. which statements are true? select each correct answer. there is no way to infer the value of the mean. she must collect data for all 90,000 working adults and calculate the mean. a larger sample of working adults will provide a better estimate of the true mean than a smaller sample. the population of working adults is too large for using a sample to estimate the mean of the entire group. if she takes a random sample of the population of working adults in her town, the mean for that group is likely close to the mean for the entire group.

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

The ratio of men to women working for a company is 4 to 5 . if there are 90 women working for the company, what is the total number of employees?