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1. A researcher wishes to determine whether there is a relationship between the thickness of a lead shield and the number of particles passing through it over a ten minute interval. Thickness (in cm), x 15 5 20 25 10 Number of Particles, y 44 60 28 20 48 a. Draw the scatter plot for the variables. (Mark each point with an x) 80 70 60 50 Number of Particles 30 20 10 5 10 15 20 25 30 35 Thickness (in em) b. Compute the correlation coefficient, r.1. Continued from the previous page. c. Test the significance of the correlation coefficient at a = 0.05 using the PPMC table. Step 1: State the hypotheses H. : H : Step 2: Find the critical value(s) C.V. = Step 3: Compute the test value Step 4: Determine whether to reject the null (circle the correct phrase) Do reject Ho . Don't reject Ho . Step 5: Summarize the results (circle the correct phrase) is There a strong linear relationship between the two variables. is not d. Compute the coefficient of determination. e. Compute the coefficient of non-determination.1. Continued from the previous page. f. Compute the equation of the regression line, and graph it on the scatter plot. g. Predict y' when x = 30 centimeters. h. Compute the standard error of the estimate.2. In a taste test, 298 people were asked to try four sodas labelled A, B, C, and D and select their favorite. Their selections are recorded below. At of = 0.01, test the claim that there was no difference in preference for the four choices. Soda A B D Number 87 62 56 93 Step 1: State the hypotheses and identify the claim H. : H, : Step 2: Find the critical value(s) C.V.= Step 3: Compute the test value Step 4: Determine whether to reject the null (circle the correct phrase) Do reject H. . Don't reject Ho . Step 5: Summarize the results (circle the correct terms,) do reject We have sufficient evidence to the claim. don't support3. A research organization tested microwave ovens. At @ =0.10 , is there a significant difference in the average prices of the three types of oven? 1000 Watt Ovens 900 Watt Ovens 800 Watt Ovens 1=6 n, =8 1, =8 X1 =233.333 X : = 203.125 X3 = 155.625 $ = 28.23 $, = 39.36 5, = 28.21 Summary Table Degrees of Source Sum of Squares Freedom Mean Square E Between 21,729.735 Within 20,402.083 Step 1: State the hypotheses and identify the claim H. : H: Step 2: Find the critical value(s) C.V. = Step 3: Compute the test value Step 4: Determine whether to reject the null (circle the correct phrase) Do reject H. Don't reject H . Step 5: Summarize the results (circle the correct terms.) do reject We have sufficient evidence to the claim. don't support