A consumer group is testing the gas mileage of 3 different...

A consumer group is testing the gas mileage of 3 different models of cars. Several cars were driven 1000 miles and the gas mileage were recorded, and the ANOVA results is show below. I. Do these data provide sufficient evidence to indicate that differences in mean gas mileage among the three models? Use = .05. II. If the null hypothesis is rejected, determine which model differ in mean gas mileage. Anova: Single Factor SUMMARY Groups Count Sum Average Variance Model 1 7 150.8 21.54286 2.39619 Model 2 6 116.2 19.36667 3.738667 Model 3 7 156.1 22.3 3.896667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 29.41902 2 14.70951 4.429754 0.028284 3.591531 Within Groups 56.45048 17 3.320616 Total 85.8695 19

Transcript

00:02 Once again, welcome to a new problem.

00:06 This time we're dealing with inferential statistics.

00:13 We're dealing with inferential statistics and when it comes to inferential statistics, we have two branches.

00:22 We have hypothesis testing and we also have confidence testing and we also have confidence confidence.

00:32 Confidence intervals so hypothesis testing and confidence intervals and when it comes to hypothesis testing we could have hypothesis testing for means and hypothesis testing for proportions and for means we could have independent samples and we could also have dependent dependent samples so there are two types of samples we have independent samples and we have dependent samples.

01:08 For independent samples we could have two samples where we have an independent samples t test or we could have two or more samples where we have an an over.

01:23 So when it comes to the anova, the f ratio is the test statistic.

01:32 The f ratio is the test statistic and the requirements for the f ratio is the mean square between groups all over the mean square within groups and between groups.

01:49 We have some squares between groups of degrees of freedom for between groups and then we have some squares within groups of degrees of freedom.

02:06 With deng groups.

02:09 And so in this particular problem, remember for each f ratio we also have a p value.

02:18 So for this particular problem we have a consumer group.

02:23 We have a consumer group and we have three models of cars.

02:32 And these cars are driven.

02:35 These cars driven a thousand miles with records with records with records.

02:43 Records of gas mileage with records of gas mileage provided, provide records of gas mileage.

02:58 And the goal of this problem is to determine whether or not the results suggest significant differences, significant differences, differences between between the different different models in terms of gas mileage consumption in terms of gas mileage consumption and so you know we have we have the different models and showing the anova results.

04:05 So we're going to have the groups...

Question

Please give Ace some feedback