The null hypothesis for the One-way Anova F-test would be Group of answer choices Ho : The average heights of the different types of singers are all the same. Ho : The average height of at least one type of singer is very different from the average heights of the other types of singers. Ho : Height influences type of singer. Ho : Height does not influence type of singer. The alternative hypothesis for the One-way Anova F-test would be Group of answer choices Ha : Height influences type of singer. Ha : The average heights of the different types of singers are all the same. Ha : The average height of at least one type of singer is very different from the average heights of the other types of singers. Ha : Height does not influence type of singer. This question is about the second part of Step 4 of the six-step One-way Anova F-test procedure that was taught in this class. Fill in the blanks appropriately. (ii) Largest sample variance (to one decimal place): Smallest sample variance (to one decimal place): Ratio of largest to smallest (to one decimal place): The ratio of the largest to the smallest sample variance is less-than-or-equal-to-four so it is safe to assume that the population variances are approx equal. This question is about the first part of Step 6 of the six-step One-way Anova F-test procedure that was taught in this class. Choose the correct option. Group of answer choices If Ho*, then due to sampling variation alone, at most zero percent of all possible values of the F-statistic would be expected to be 2.7 or more. If Ho*, then due to sampling variation alone, at most 55.8 percent of all possible values of the F-statistic would be expected to be zero or more. If Ho*, then due to sampling variation alone, at most 5.1 percent of all possible values of the F-statistic would be expected to be 55.8 or more. If Ho*, then due to sampling variation alone, at most zero percent of all possible values of the F-statistic would be expected to be 55.8 or more.

The null hypothesis for the One-way Anova F-test would be Group of answer choices Ho : The average heights of the different types of singers are all the same. Ho : The average height of at least one type of singer is very different from the average heights of the other types of singers. Ho : Height influences type of singer. Ho : Height does not influence type of singer. The alternative hypothesis for the One-way Anova F-test would be Group of answer choices Ha : Height influences type of singer. Ha : The average heights of the different types of singers are all the same. Ha : The average height of at least one type of singer is very different from the average heights of the other types of singers. Ha : Height does not influence type of singer. This question is about the second part of Step 4 of the six-step One-way Anova F-test procedure that was taught in this class. Fill in the blanks appropriately. (ii) Largest sample variance (to one decimal place): Smallest sample variance (to one decimal place): Ratio of largest to smallest (to one decimal place): The ratio of the largest to the smallest sample variance is less-than-or-equal-to-four so it is safe to assume that the population variances are approx equal. This question is about the first part of Step 6 of the six-step One-way Anova F-test procedure that was taught in this class. Choose the correct option. Group of answer choices If Ho, then due to sampling variation alone, at most zero percent of all possible values of the F-statistic would be expected to be 2.7 or more. If Ho, then due to sampling variation alone, at most 55.8 percent of all possible values of the F-statistic would be expected to be zero or more. If Ho, then due to sampling variation alone, at most 5.1 percent of all possible values of the F-statistic would be expected to be 55.8 or more. If Ho, then due to sampling variation alone, at most zero percent of all possible values of the F-statistic would be expected to be 55.8 or more.

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The null hypothesis for the One-way Anova F-test would be

Group of answer choices

Ho : The average heights of the different types of singers are all the same.

Ho : The average height of at least one type of singer is very different from the average heights of the other types of singers.

Ho : Height influences type of singer.

Ho : Height does not influence type of singer.

The alternative hypothesis for the One-way Anova F-test would be

Group of answer choices

Ha : Height influences type of singer.

Ha : The average heights of the different types of singers are all the same.

Ha : The average height of at least one type of singer is very different from the average heights of the other types of singers.

Ha : Height does not influence type of singer.

This question is about the second part of Step 4 of the six-step One-way Anova F-test procedure that was taught in this class. Fill in the blanks appropriately.

(ii) Largest sample variance (to one decimal place):

Smallest sample variance (to one decimal place):

Ratio of largest to smallest (to one decimal place):

The ratio of the largest to the smallest sample variance is less-than-or-equal-to-four so it is safe to assume that the population variances are approx equal.

This question is about the first part of Step 6 of the six-step One-way Anova F-test procedure that was taught in this class.

Choose the correct option.

Group of answer choices

If Ho*, then due to sampling variation alone, at most zero percent of all possible values of the F-statistic would be expected to be 2.7 or more.

If Ho*, then due to sampling variation alone, at most 55.8 percent of all possible values of the F-statistic would be expected to be zero or more.

If Ho*, then due to sampling variation alone, at most 5.1 percent of all possible values of the F-statistic would be expected to be 55.8 or more.

If Ho*, then due to sampling variation alone, at most zero percent of all possible values of the F-statistic would be expected to be 55.8 or more.

This question is about the second part of Step 6 of the six-step One-way Anova F-test procedure that was taught in this class.

Choose the correct option.

Group of answer choices

This percentage is not very low so we cannot conclude that Ha*.

This low percentage suggests that Ha*.

Below is some info about a certain One-way Anova F-test.

Ho: The average house price is the same in all cities.

Ha: The average house price is not the same in all cities.

P-value = 0.3

Which of the following options has correct information about the test?

Select all that apply.

Group of answer choices

Categorical variable: cities , Quantitative variable: house price

We would have to conclude that the average house price is not the same in all cities.

It is possible that the average house price may be the same in all cities.

Categorical variable: house price , Quantitative variable: cities

Below is some info about a certain One-way Anova F-test.

Ho: Level of physical health does not determine level of healthcare costs.

Ha: Level of physical health determines level of healthcare costs.

P-value = 0.003

Which of the following options has correct information about the test?

Select all that apply.

Group of answer choices

It could be that level of physical health does not determine level of healthcare costs.

Categorical variable: healthcare costs , Quantitative variable: physical health

Categorical variable: physical health , Quantitative variable: healthcare costs

We would have to conclude that level of physical health determines level of healthcare costs.

Use the information provided below for the SINGERS questions that follow.
Our goal will be to see if there is any association between type of singer and
height.
ONE-WAY ANOVA
Data from DASL: http://lib.stat.cmu.edu/DASL/Datafiles/Singers.html
This exercises deals with the heights (in inches) of singers. The graph and Excel Anova output
are given below.
80
75
70
65
60
55
• Soprano
• Alto
• Tenor
• Bass
Anova: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
Soprano
36
2313
64.25
3.5071
Alto
35
2271
64.885714
7.8101
Tenor
20
1383
69.15
10.3447
Bass
39
2758
70.717949
5.5762
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
1058.5289
3
352.84298 55.800134 5.1E-23
2.67652
Within Groups
796.74029
126
6.3233357
Total
1855.2692
129
© 2020 Radha Bose, Florida State University Department of Statistics
Heights (inches)

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