Facts About the F Distribution Quiz
The question sheet
Reveal any answer as you study-
What is the shape of the F distribution curve?
- Skewed to the right
- Symmetrical
- Bell-shaped and centered
- Skewed to the left
Reveal answer
Answer: Skewed to the right
Source evidence
PDF page 775: • The curve is not symmetrical but skewed to the right.
-
How many distinct curves does the F distribution have?
- Only one fixed curve
- A different curve for each set of dfs
- Exactly two curves
- Three standard curves
Reveal answer
Answer: A different curve for each set of dfs
Source evidence
PDF page 775: • There is a different curve for each set of dfs.
-
As numerator and denominator dfs get larger, the F curve approximates which distribution?
- The binomial
- The normal
- The exponential
- The uniform
Reveal answer
Answer: The normal
Source evidence
PDF page 775: • As the degrees of freedom for the numerator and for the denominator get larger, the curve approximates the normal.
-
Which is listed as another use for the F distribution?
- Finding a median
- Calculating a z-score
- Comparing two variances
- Testing one proportion
Reveal answer
Answer: Comparing two variances
Source evidence
PDF page 775: • Other uses for the F distribution include comparing two variances and two-way analysis of variance. Two-way analysis
-
In the tomato exercise, what significance level was used?
- 1 percent
- 5 percent
- 10 percent
- 3 percent
Reveal answer
Answer: 5 percent
Source evidence
PDF page 776: the same or at least one is different. Using a significance level of 5 percent, test the null hypothesis that there is no difference in mean yields among the five groups against the alternative hypothesis that at least one mean is different from the rest.
-
What was the test statistic in the tomato ANOVA?
- F = 4.4810
- F = 0.134
- F = 2.23
- F = 0.0248
Reveal answer
Answer: F = 4.4810
Source evidence
PDF page 776: Test statistic: F = 4.4810
-
What distribution was used for the tomato test?
- F4,10
- F5,15
- F2,12
- F3,16
Reveal answer
Answer: F4,10
Source evidence
PDF page 776: Distribution for the test: F4,10
-
What was the p-value for the tomato ANOVA test?
- 0.0248
- 0.05
- 0.8759
- 0.1241
Reveal answer
Answer: 0.0248
Source evidence
PDF page 777: Probability statement: p-value = P(F > 4.481) = 0.0248
-
What decision was made in the tomato test?
- Accept Ha only partly
- No decision possible
- Cannot reject H0
- Reject H0
Reveal answer
Answer: Reject H0
Source evidence
PDF page 777: Make a decision: Since α > p-value, we reject H0. Conclusion: At the 5 percent significance level, we have reasonably strong evidence that differences in mean yields for slicing tomato plants grown under different mulching conditions are unlikely to be due to chance alone. We may conclude that at least some of the mulches led to different mean yields.
-
For the sorority grades, what significance level was used?
- 5 percent
- 1 percent
- 3 percent
- 10 percent
Reveal answer
Answer: 1 percent
Source evidence
PDF page 779: Using a significance level of 1 percent, is there a difference in mean grades among the sororities?
-
What distribution was used for the sorority test?
- F3,16
- F2,12
- F4,16
- F4,10
Reveal answer
Answer: F3,16
Source evidence
PDF page 779: Distribution for the test: F3,16
-
In the sorority test, df(num) equals which expression?
- k = 4
- n - 1 = 19
- k - 1 = 3
- n - k = 16
Reveal answer
Answer: k - 1 = 3
Source evidence
PDF page 779: df(num)= k – 1 = 4 – 1 = 3
High School Statistics
High School Statistics by OpenStax, used under CC BY 4.0. Changes made by Stratacademy.
Make your own — free
Turn any notes into a game in under a minute. Free to start.