The quality-control director for a clothing manufacturer wants to study the effect of operators and
machines on the breaking strength (in pounds) of wool serge material. A batch of the material is
cut into square-yard pieces and these are randomly assigned, three each, to all 12 combinations of
four operators and three machines chosen specifically for the experiment. The results are as
follows:

MACHINE
OPERATOR I II III
A 115 111 109
A 115 108 110
A 119 114 107
B 117 105 110
B 114 102 113
B 114 106 114
C 109 100 103
C 110 103 102
C 106 101 105
D 112 105 108
D 115 107 111
D 111 107 110

(1) Perform complete hypothesis tests.

(a) H0:

H1:

Decision rule:

Test Statistic:

Decision:

Copy and paste your computer printout here.( please attach excel print if possible)

(b) H0:

H1:

Decision rule:

Decision:

(c) H0:

H1:

Decision rule:

Test Statistic:

Decision:

(d) what can you conclude about the effects of operators and machines on breaking strength, and explain your reasoning.

Part one: measurements 1. measure your own height and arm span (from finger-tip to finger-tip) in inches. you will likely need some from a parent, guardian, or sibling to get accurate measurements. record your measurements on the "data record" document. use the "data record" to you complete part two of this project. name relationship to student x height in inches y arm span in inches archie dad 72 72 ginelle mom 65 66 sarah sister 64 65 meleah sister 66 3/4 67 rachel sister 53 1/2 53 emily auntie 66 1/2 66 hannah myself 66 1/2 69 part two: representation of data with plots 1. using graphing software of your choice, create a scatter plot of your data. predict the line of best fit, and sketch it on your graph. part three: the line of best fit include your scatter plot and the answers to the following questions in your word processing document 1. 1. which variable did you plot on the x-axis, and which variable did you plot on the y-axis? explain why you assigned the variables in that way. 2. write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. show all your work, including the points used to determine the slope and how the equation was determined. 3. what does the slope of the line represent within the context of your graph? what does the y-intercept represent? 5. use the line of best fit to you to describe the data correlation.

Suppose you are going to graph the data in the table. minutes temperature (°c) 0 -2 1 1 2 3 3 4 4 5 5 -4 6 2 7 -3 what data should be represented on each axis, and what should the axis increments be? x-axis: minutes in increments of 1; y-axis: temperature in increments of 5 x-axis: temperature in increments of 5; y-axis: minutes in increments of 1 x-axis: minutes in increments of 1; y-axis: temperature in increments of 1 x-axis: temperature in increments of 1; y-axis: minutes in increments of 5

Use the given information to determine the exact trigonometric value.