The following partial ANOVA table is taken from the article “Perception of Spatial Incongruity” (J. Nerv. Ment. Dis., 1961: 222) in which the abilities of three different groups to identify a perceptual incongruity were assessed and compared. All individuals in the experiment had been hospitalized to undergo psychiatric treatment. There were 21 individuals in the depressive group, 32 individuals in the functional “other” group, and 21 individuals in the brain-damaged group. Complete the ANOVA table and carry out the F test at level a ¼ .01

In a bumper test, three test vehicles of each of three types of autos were crashed into a barrier at 5 mph, and the resulting damage was estimated. Crashes were from three angles: head-on, slanted, and rear-end. The results are shown below. Research questions: Is the mean repair cost affected by crash type and/or vehicle type? Are the observed effects (if any) large enough to be of practical importance (as opposed to statistical significance)?  5 mph Collision Damage ($) Crash Type Goliath Varmint Weasel Head-On 700 1,700 2,280   1,400 1,650 1,670   850 1,630 1,740 Slant 1,430 1,850 2,000   1,740 1,700 1,510   1,240 1,650 2,480 Rear-end 700 860 1,650   1,250 1,550 1,650   970 1,250 1,240     (d) Perform Tukey multiple comparison tests. (Input the mean values within the input boxes of the first row and input boxes of the first column. Round your t-values and critical values to 2 decimal places and other answers to 1 decimal place.) Post hoc analysis for…

Researchers were interested in assessing whether stress levels are different at the beginning of the semester compared to finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week. Participant Stress 1 Stress 2 Difference Score (Di) (Di - Mdiff)2 1 22 22 0   2 32 34 -2   3 24 25 -1   4 28 30 -2   5 26 29 -3     What is the observed test statistic (i.e., tobs)? Round to 2 decimal places.

To determine if there is gender and/or race discrimination in car buying, a researcher put together a team of white males, black males, white females, and black females who were each asked to obtain an initial offer price from the dealer on a certain model car. The accompanying data are based on the results and represent the profit on the initial price offered by the dealer. Previous testing resulted in rejecting Ho: PWM HBM =HWF = HBF and concluding that the mean profit for the four race-gender groups differ. Use Tukey's test to determine which pairwise means differ using a familywise error rate of a = 0.05. Click the icon to view the data table. Use Tukey's test to determine which pairwise means differ using a familywise error rate of a = 0.05. Find the Tukey 95% simultaneous confidence intervals for all pairwise comparisons. The interval for the pairwise comparision HBM HWM is The interval for the pairwise comparision pwFPWM is The interval for the pairwise comparision HBF HWM is…

Results on seat belt usage from the 2003 Youth Risk Behavior Survey were published in a USA Snapshot on January 13, 2005. The following table outlines the results from the high school students who were surveyed in the state of Nebraska. They were asked whether or not they rarely or never wear seat belts when riding in someone else's car. Using ? = .05, does this sample present sufficient evidence to reject the hypothesis that gender is independent of seat belt usage?     Female     Male Rarely or never use seat belt 206 323 Uses seat belt 1220 1157 (a) Find the test statistic. (Give your answer correct to two decimal places.)(ii) Find the p-value. (Give your answer bounds exactly.) ______< p < ________

We are interested in comparing the proportions of men and women who say earning a large salary is very important to them. You surveyed 200 men and 200 women and recorded their answers to the question as “yes” (earning a large salary is very important) or “no” (earning a large salary is not very important).     Yes No Total Men 150 50 200 Women 110 90 200 Total 260 140 400   Test the association between sex and the importance of earning a large salary using a z-test. Provide the null and alternative hypotheses, test statistic, p-value, and conclude test with 0.01 signifigance.

The Procrastination Log (PL)…was administered both at intake [pretest to a one-hour individual counseling session on procrastination] and on outtake [posttest].  The PL is the most widely used instrument for assessing difficulties with procrastination.  It is a 9-item self-report questionnaire that measures procrastination-related behavior during the past week.  1) Assuming that the distribution of PL scores for the “No attribution group” at “Intake” is normal, between what two scores did approximately the middle 95% of participants lie?-   2) Assuming that the distribution of PL scores for the “No attribution group” at “Outtake” is normal, between what two scores did approximately the middle 99.7% of participants lie?  3) On average, which group showed the greatest improvement from “Intake” to “Outtake”?-

The data from car crash tests for four different vehicle size categories (Small, Midsize, Large, and SUV) with measured amounts of left leg femur force (kN) results in the following Minitab display. Using a 0.05 significance level, test the claim that the four vehicle size categories have the same mean force on the femur of the left leg. Does size of the car appear to have an effect on the force on the left femur in crash tests? Analysis of Variance Source Size Error Total Determine the null hypothesis. Ho: DF Adj SS 0.5088 18.4992 3 48 51 19.0080 H₁: Determine the alternative hypothesis. Adj MS 0.1696 0.3854 Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value. F-Value 0.44 P-Value 0.725 The P-value is. (Round to three decimal places as needed.) Does size of the car appear to have an effect on the force on the left femur in crash tests? Ho. There sufficient evidence at a 0.05 significance level to warrant rejection of the…