If the F test leads us to reject the null hypothesis, we must then conclude that the two population standard deviations are the same. True O False
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![If the F test leads us to reject the null hypothesis, we must then conclude that the two
population standard deviations are the same.
True
O False](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F803bf9c7-1517-4e30-ad48-bb215392f954%2Fda5a45fc-858d-41cf-950f-7acee5b41052%2Fxvm78vt_processed.jpeg&w=3840&q=75)
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- A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If a significance level of 0.01 were to be used instead of a significance level of 0.05, which of the following would be true? A B O E Neither the probability of a Type Il error nor the power of the test would change. Both the probability of a Type II error and the power of the test would decrease. Both the probability of a Type Il error and the power of the test would increase. The probability of a Type II error would decrease and the power of the test would increase. The probability of a Type Il error would increase and the power of the test would decrease.(e) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, will the researcher reject the null hypothesis? Yes O NoSuppose an education administrator wants to know whether the test scores of a new standardized graduation exam are different for males and females. To test this hypothesis, the administrator decides to perform a ?‑test for two independent means. She takes a random sample of test scores from both male and female populations. Some of the summary data are shown in the table. Population PopulationDescription Samplesize Samplemean (pts) Sample standard deviation (pts) 1 Female ?1=21 ?⎯⎯⎯1=34.3 ?1=3.09 2 Male ?2=22 ?⎯⎯⎯2=34.7 ?2=3.82 The administrator assumes that the population variances are equal, so she computes a pooled ?‑test statistic. Determine the number of degrees of freedom, df, for the pooled ?‑statistic.
- A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: Ha: p = 0.7 p = 0.7 What type of test is being conducted in this problem? A. Right-tailed test B. Two-tailed test C. Left-tailed test 20When a researcher conducts an experiment and fails to find significant results, what should she conclude? The research hypothesis is false The current data are inconclusive with regards to the research hypothesis The null hypothesis is true The null hypothesis is falseA coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per cup. Suppose that we want to carry out a hypothesis test to see if the true mean discharge differs from 9 . State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.
- ANOVA is used for comparing across 3 or more groups.In ANOVA, the null hypothesis is always: at least one variance is different. at least one mean is different. all means are equal. all variances are equalThe U.S. Department of Labor stated that the national unemployment rate was 4.9%. Of a sample of 90 people in one city, 5.2% were unemployed. Can the city conclude that their unemployment rate is the same as the national average? Do we reject the null hypothesis? (Answer on Excel)A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: Ha: р = 0.8 p0.8 What type of test is being conducted in this problem? A. Left-tailed test B. Two-tailed test C. Right-tailed test
- A researcher wants to carry out a hypothesis test involving the mean for a sample of n = 20. While the true value of the population standard deviation is unknown, the researcher is reasonably sure that the population is normally distributed. Given this information, which of the following statements would be correct? The t-test should be used because the sample size is small. The researcher should use the z-test because the population is assumed to be normally distributed. The researcher should use the z-test because the sample size is less than 30. The t-test should be used because α and μ are unknown.a. If a null hypothesis is rejected with a significance level of 0.05, is it also rejected with a significance level of 0.01? Why or why not? Suppose the level of significance for carrying out the test is lowered from 5% to 1%. As a result, has the likelihood of rejecting the null hypothesis when it is true increased or decreased? Explain
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