he records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a variance of 0.0036 . The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0036 . Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. H0:H1:
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- It is easier to reject the null hypothesis if the researcher uses a smaller alpha (α) level. choose True or False?A research report includes the statement, “ z = 1.18, p > .05.” What happened in the hypothesis test? The obtained sample mean was very likely if the null hypothesis is true, so H0 was rejected. The obtained sample mean was very unlikely if the null hypothesis is true, and the test failed to reject H0. The obtained sample mean was very unlikely if the null hypothesis is true, so H0 was rejected. The obtained sample mean was very likely if the null hypothesis is true, and the test failed to reject H0.The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a variance of 0.0036. The actuaries of the company claim that the variance of thenumber of accidents per day is no longer equal to 0.0036. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.
- A researcher intends to estimate the effect of a drug on the scores of human subjects performing a task of psychomotor coordination. The members of a random sample of 9 subjects were given the drug prior to testing. The mean score in this group was 9.23, and the sample variance was 17.04. An independent random sample of 10 subjects was used as a control group and given a placebo prior to testing. The mean score in this control group was 15.93, and the sample variance was 27.44. Assuming that the population distributions are normal with equal variances, find a 90% confidence interval for the difference between the population mean scores. The confidence interval isYou may need to use the appropriate technology to answer this question. Two new assembly methods are tested and the variances in assembly times are reported. Use a = 0.10 and test if there is a significant difference in the population variance assembly times between the two methods. Method A Method B n1 31 n2 26 Sample Size sz? = 25 = 12 S2 Sample Variation State the null and alternative hypotheses. Ho: 01 > 02 2 2 02 2 Ho: 01 02 2 + 02 2 Ho: 01 + 02 2 H3: 0, = 02 2 S02 2 Ho: 01 2 > 02 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. Do not reject Ho. We can conclude that the population variances are not equal. Reject Ho. We cannot conclude that the population variances are not equal. Do not reject Ho. We cannot conclude that the population variances are not equal. Reject Ho. We can conclude that the population variances are not equal.The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a variance of 0.0036. The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0036. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative 00 hypothesis H, that we would use for this test. Ho: 0 H1: 0 OThe Mars company claims that its Snickers bars contain, on average, at least 21 peanuts. •Suppose, in fact, the bars contains only 19 peanuts on average, with a population variance of 4 peanuts. •For an appropriate hypothesis test with α=.05, what is the power of a test of the company’s claim using a sample size of 11The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.7 auto accidents per day with a variance of 0.0036. The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0036. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis Hô and the alternative hypothesis H₁ that we would use for this test. Ho: 0 H₁:0 33. The local school system feels that the number of student absences in this county is lower than the published state average of 5.6 absences per year. They take a random sample of 120 students and the average number of absences is found to be 4.9. The likelihood that the local school system would observe a sample of this type assuming the state assertion is true is 0.0052. Use the above to formulate a null hypothesis and an alternate hypothesis. a.A researcher administers a new treatment to a sample of participants selected from a population with µ = 80. If the researcher obtains a sample mean of M = 88, which combination of factors is most likely to result in rejecting the null hypothesis?A company has just developed a new antibiotic. 2 percent of children taking competing antibiotics experience a headache as a side effect. A researcher believes that the proportion of children taking the new antibiotic who experience a headache as a side effect is more than 0.02. We know that the null hypothesis is H0 : p = 0.02 and the alternative hypothesis is H1 : p > 0.02. Suppose that the sample evidence indicates thata. the null hypothesis is rejected. State the conclusion.b. the null hypothesis is not rejected. State the conclusion.It is false for DCA of fixed effects and random effects a. They are all true. b.In random effects the inference can be extended to treatments that are not experienced and in fixed effects it is not. c. The analysis of variance is performed on the variances for the random effects analysis and on the means for the fixed effects analysis. d. In both it is possible to choose for the factor both the number of levels and the levels why?SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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