Question

How would I do this on a Ti-84CE Calculator?

"The phenomenon of road rage has been frequently discussed but infrequently examined." So begins a report based on interviews with 1346 randomly selected drivers. The respondents' answers to interview questions produced scores on an 'angry/threatening driving scale with values between 0 and 19, larger values indicating more angry/threatening behaviors. What driver characteristics go with road rage? There were no significant differences among races or levels of education. What about the effect of the driver's age? Here are the means and standard deviations for a measure of "angry/threatening driving" for random samples of drivers in three age groups: 

Age group Less than 30 years 244 2.46 3.13 30 to 55 years 733 1.17 2.23 Over 55 years 3 69 0.59 1.65 

(a) The distributions of responses are somewhat right-skewed. ANOVA is nonetheless safe for these data. Why? The samples are random. The standard deviations are similar. The sample sizes are large. 

(b) Do the standard deviations satisfy the guideline for ANOVA inference? (Round your answer to two decimal places.) Yes , the ratio is 

 (c) Calculate the overall mean response, the mean squares MSG and MSE, and the ANOVA F statistic. (Round your answers to two decimal places.) 

(d) Which F distribution would you use to find the p-value of the ANOVA F test? (Enter your answers as a comma-separated list.) Software gives P < 0.001. Write a brief conclusion based on the sample means and the ANOVA F test. There is strong evidence that the means differ among the age groups. There is not enough evidence to conclude that the means differ among the age groups.

Answer 1

solution- 1. a) The sample sizes are large b) Do the standard deviations saksfy the guideline for ANOVA inference. * The AMOUA assumption is populakon vaiances are Equal 1. The themb rule of standard deviation of the rako of ergest Standard deviation is divided by smallest is not greater than a S . 3.13 del - 1-9 (not >2) yes, the guideline for ANDVA is satisfied. رک 1-65 mean T = P=1 nitntna = 600247 857.61 + 217.71 1346 = 1.245 1.24 Hill MSG : MSG - I(ni (7p - 2² ) 5 K-1 where k3

363. 1696+3.5917 + 155.9025 3-1 261.3319 = 1 261.33 1989 = 261.33 MISE :- MSE . e I( des;2 ) B (mit ne tng) - 3 hindert dekleta 380.6467 + 3640.1628 + 1006.88 ( 244 +733 +369) -3 702 2.6895 - = 5.22911 1343 MSE = 5.23 | MSG MSE F = 261.33 5:23 F: 49.977 19.97 d) = 2 ofd = 1343 . p-value = 0.0000 → There is strong evidence that the mean - age groups (option a in Coweet) differ among the