The test statistic used in the F test for the equality of two variances is calculated...
The test statistic used in the F test for the equality of two variances is calculated as F = s12/s22. In this formula, s12and s22 represent the sample variance for sample 1 and sample 2, respectively. True or False?
Homework Answers
Ans:
where 
and 
represent the sample variance for sample 1 and sample 2,
respectively
The above statement is True.
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The test statistic used in the F test for the equality of two
variances is calculated...
In a two-tailed F-test about equality of two population variances, given n1=21, S21 = 8.2, n2=26,...
In a two-tailed F-test about equality of two population variances, given n1=21, S21 = 8.2, n2=26, S22= 4.0, and alpha = 0.05. The numerator and denominator degrees of freedom for the F distribution, respectively, are A. 21 and 26 B. 26 and 21 C. 20 and 25 D. 27 and 22
The test statistic for Ho: σ12=σ22 is Fo = S21/S22 where the S2iare the sample variances...
The test statistic for Ho: σ12=σ22 is Fo = S21/S22 where the S2iare the sample variances of two random samples from independent normal populations. true or false
Finding F critical for Variances Use the F-distribution to find the degrees of freedon for the numerator (d.f.N.), the degrees of freedom for the Denominator (d.f.D.) and the critical F-value Use the...
Finding F critical for Variances Use the F-distribution to find the degrees of freedon for the numerator (d.f.N.), the degrees of freedom for the Denominator (d.f.D.) and the critical F-value Use the closest value when looking up the d.f.N. and d.f.D. in the tables. Test alpha α Sample 1 Sample 2 d.f.N. d.f.D. F critical Right 0.01 s12=37 n1=14 s22=89 n2=25 Two-tailed 0.10 s12=164 n1=21 s22=53 n2=17 Right 0.05 s12=92.8 n1=11 s22=43.6 n2=11
Using the data from the previous question on LDL cholesterol, you decide to test if the...
Using the data from the previous question on LDL cholesterol, you decide to test if the variance in LDL cholesterol of patients admitted to the hospital with a heart attack is the same as that of those who have not (the control). You use the R function var.test and obtain the following output. F test to compare two variances data: ldl.ha and ldl.cont F = 7.683, num df = 9, denom df = 15, p-value = 0.0006501 alternative...
In testing the equality if the two means below, what is the test statistic? (Assume the...
In testing the equality if the two means below, what is the
test statistic? (Assume the populations have equal variances)
Hi! I entered this into the calculator and got an answer that
didn't match any of my options. I got 0.1285. Can someone please
show me how to enter it into the calculator?
QUESTION 5 In testing the equality of the two means below, what is the test statistic? (Assume the populations have equal variances) Sample 1 Sample 2 Sample...
(Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA...
(Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups RECALL: Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: VEA where yi and ỹ2 are the sample means in group 1 and 2, respectively. The pooled variance is given by where s and s3 are the...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups RECALL : Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: - y2 where and 2 are the sample means in group 1 and 2, respectively. The pooled variance is given by (w, where s and...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups RECALL: Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: 1-y2 where i and 2 are the sample means in group 1 and 2, respectively. The pooled variance is given by where s and s3 are...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups. RECALL: Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: y2 where yi and 2 are the sample means in group 1 and 2, respectively. The pooled variance is given by 2 where s and s...
A cereal company is interested in determining if there is a difference in the variation of...
A cereal company is interested in determining if there is a difference in the variation of the weights for 24-ounce and 48-ounce boxes of cereal. A random sample of 18 (eighteen) 24-ounce boxes of cereal produced a sample variance (S12) of 0.005 oz2. A sample of thirty-one (31) 48-ounce boxes of cereal produced a sample variance (S22) of 0.004 oz2. Use the sample information to construct a 90% confidence interval estimate for the true population ratio of. The point estimate for the ratio...
In testing the equality if the two means below, what is the
test statistic? (Assume the populations have equal variances)
Hi! I entered this into the calculator and got an answer that
didn't match any of my options. I got 0.1285. Can someone please
show me how to enter it into the calculator?
QUESTION 5 In testing the equality of the two means below, what is the test statistic? (Assume the populations have equal variances) Sample 1 Sample 2 Sample...
(Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups RECALL: Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: VEA where yi and ỹ2 are the sample means in group 1 and 2, respectively. The pooled variance is given by where s and s3 are the...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups RECALL : Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: - y2 where and 2 are the sample means in group 1 and 2, respectively. The pooled variance is given by (w, where s and...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups RECALL: Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: 1-y2 where i and 2 are the sample means in group 1 and 2, respectively. The pooled variance is given by where s and s3 are...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups. RECALL: Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: y2 where yi and 2 are the sample means in group 1 and 2, respectively. The pooled variance is given by 2 where s and s...
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