A sociologist conducts a survey of married men in Texas, California, and Florida. From the sample of 800 respondents from each state, the mean age at first marriage is 28.6 years, 27.5 years, and 29.4 years with a standard deviation of 4.4 years, 5.2 years, and 4.7 years, respectively. The corresponding ANOVA table is below.
| Source | Sum of Squares | df | Mean Squares | F | P |
|---|---|---|---|---|---|
| Treatment (Between) |
1,456.000 | 2 | 728.000 | 0.0000 | |
| Error (Within) |
54,723.510 | 2,397 | 22.830 | ||
| Total | 56,179.510 | 2,399 |
(a)
What is the value of the F statistic? (Round your answer to three decimal places.)
(b)
What is the value of the degrees of freedom for the numerator of the F statistic?
(c)
What is the value of the degrees of freedom for the denominator of the F statistic?
A sociologist conducts a survey of married men in Texas, California, and Florida. From the sample...
John has obtained two independent samples from two populations, where the sample statistics are shown in the table below. Assuming equal variances, he can construct a 95 percent confidence interval for the difference of the population means to be Sample 1 Sample 2 Mean 22.7 20.5 Variance (s^2) 5.4 3.6 Observations (sample size) 9 9 [0.08, 4.32] [1.17, 5.08] [2.44,6.19] [-0.09, 3.19] A corporate analyst is testing whether mean inventory turnover has increased. Inventory turnover in six randomly chosen product...
The following ANOVA model is for a multiple regression model
with two independent variables:
Degrees
of
Sum
of
Mean
Source
Freedom
Squares
Squares
F
Regression
2
60
Error
18
120
Total
20
180
Determine the Regression Mean Square (MSR):
Determine the Mean Square Error (MSE):
Compute the overall Fstat test statistic.
Is the Fstat significant at the 0.05 level?
A linear regression was run on auto sales relative to consumer
income. The Regression Sum of Squares (SSR) was 360 and...