4. Determine whether the following statements are true or false. No explanation is required. a) A paired t-test is used when the two samples cannot be treated as independent. b) A 95% confidence interval for the ratio of two variances was calculated to be (0.589, 1.864). A hypothesis test with significance level 0.05 would fail to reject the null hypothesis. c) F(u,v) = F(v,u), where F(u,v) signifies an F distribution with u and v degrees of freedom.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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4.
Determine whether the following statements are true or false. No explanation is
required.
a) A paired t-test is used when the two samples cannot be treated as independent.
b) A 95% confidence interval for the ratio of two variances was calculated to be (0.589, 1.864).
A hypothesis test with significance level 0.05 would fail to reject the null hypothesis.
c) F(u,v) = F(v,u), where F(u,v) signifies an F distribution with u and v degrees of freedom.
d) When looking at population proportions, we can treat each sample as a binomial distribution
with n trials and probability of success po, where po is the hypothesized population proportion.
e) The F distribution is skewed left, unlike the normal and t distributions which are symmetric.
Transcribed Image Text:4. Determine whether the following statements are true or false. No explanation is required. a) A paired t-test is used when the two samples cannot be treated as independent. b) A 95% confidence interval for the ratio of two variances was calculated to be (0.589, 1.864). A hypothesis test with significance level 0.05 would fail to reject the null hypothesis. c) F(u,v) = F(v,u), where F(u,v) signifies an F distribution with u and v degrees of freedom. d) When looking at population proportions, we can treat each sample as a binomial distribution with n trials and probability of success po, where po is the hypothesized population proportion. e) The F distribution is skewed left, unlike the normal and t distributions which are symmetric.
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