A factory collected data on the number of nonconforming parts to construct an np-chart. 15 samples of size 150 were collected. They determined that the average fraction was non-conforming as pbar=0.045. During production, a sample of 150 parts was taken, of which 18 were non-conforming. At the time this sample was taken: a. the upper control limit was 0.12 b. the lower control limit was 0 c. the sample was outside the control limits d. the sample was within the control limits.

An experiment was conducted to test the effects of five different diets (A-E) in turkeys. Six turkeys were randomly assigned to each of the five different diet groups (Diet) and were fed for a fixed period of time. The weight gained in pounds was recorded for each turkey and the data was entered into R for analysis. R produced the following output. Between Within Total a. له له له م په b. C. d. e. Sum-of-squares (SS) Degrees of freedom Mean square (MS) ?? (b) 103.04 ???.?? (a) 110.9249 25 29 ????.??? (c) ????.??? (d) Find the sum-of-squares for within-group variability. Find the degrees of freedom for between-group variability. Find the mean-square of the between-group variability. F-statistic ??.????? p-value ????.??? (e) Find the mean-square of the within-group variability. Find the p-value for the ANOVA F-test. What is the conclusion? Are the means of the five diets significantly different?

A researcher reports t(26) = 2.71 for a two independent samples t-test. How many participants were in the entire experiment? a. 28 b. 27 c. 30 d. cannot determine with the information provided

A psychologist would like to examine the effects of different testing methods on the final performance of college students. One group has regular quizzes, one group has three large exams, and the third group only has a final exam. At the end of the course, the psychologist interviews each student to get a measure of the student's overall knowledge of the material. Do these data indicate any significant differences among the three methods? Do the following computations: a. Compute and report the F Ratio at a a = .05 b. Compute and report the Tukey's HSD to determine exactly which methods are significantly different. Quizzes 4 6 3 7 T = 20 SS = 10 Exams 1 4 5 2 T = 12 SS= 10 Final Only 0 2 0 2 T=4 SS=4 G=36 EX² = 164 ✩

B6. Pinan Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source Regression Residual Total Regression output Variables Intercept Distance-X Answer the following questions. SS 1,864.5782 1,344.4934 3,209.07 Coefficients 12.3601 4.7956 df 1 28 29 MS 1,864.5782 48.0176 Std. Error 3.2915 0.7696 F 38.83 t(df=28) 3.755 6.231 a) Write out the regression equation. Is there a direct or indirect relationship between the distance from the fire station and the amount of fire damage? b) How much damage would you estimate for a fire 5 miles from the nearest fire station?

State the t critical value that would be used for a 99% interval based on a sample size of 37.

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