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What is the value of the test statistic for a test with a null hypothesis that mu = 250, Xbar = 260 the standard deviation = 5 and n = 100?
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- 15 To perform a test of hypothesis that the population slope parameter is zero, the test statistic t is ______. a 14.487 b 16.097 c 17.885 d 19.873ou are conducting a hypothesis test on the body weights of male fraternity members. The research (alternative) hypothesis is that the averge weight is greater than 200 lbs. Your test will be at the 0.01 significance level. You take a sample of 64 men, and find that the sample average is 210 lbs, and the standard deviation is 20 lbs. The value of your test statistic is, therefore, 4.00. Would your test statistic be higher or lower if your sample stats had been estimated from a sample of 640 men, rather than 64? Group of answer choices Lower The same (neither higher, nor lower). HigherA sample of 42 observations is selected from a normal population. The sample mean is 41, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ = 43 H1: μ ≠ 43 Is this a one- or two-tailed test? multiple choice 1 One-tailed test Two-tailed test What is the decision rule? multiple choice 2 Reject H0 if −1.960 < z < 1.960 Reject H0 if z < −1.960 or z > 1.960 What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) What is your decision regarding H0? multiple choice 3 Fail to reject H0 Reject H0 e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.) e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)
- A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized here: Sample Size Sample Mean Population Standard Deviation Men 31 29 5 Women 36 34 10 At the 0.01 significance level, we ask if there is a difference in the mean number of times men and women send a Twitter message in a day. Assume that women are Population 1 and men are Population 2. What is the value of the test statistic for this hypothesis test? a. 2.907 b. 2.641 c. 2.815 d. 2.911A hypothesis will be used to test that a population mean equals 9 against the alternative that the population mean is less than 9 with known variance . What is the critical value for the test statistic for the significance level of 0.025? Round your answer to two decimal places (e.g. 98.76).Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 55 is used and the population standard deviation is 7. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. With = 52.5, what is the value of the test statistic (to 2 decimals)?Can it be concluded that the population mean is greater than 50?Select Yes No Item 2 With = 51, what is the value of the test statistic (to 2 decimals)?Can it be concluded that the population mean is greater than 50?Select Yes No Item 4 With = 51.8, what is the value of the test statistic (to 2 decimals)?Can it be concluded that the population mean is greater than 50?
- A company that has a 15% market share launches a marketing campaign. At the end of the campaign period, the company conducts a survey in order to assess whether its market share has increased. From a survey issued to 500 customers after the campaign, the company found that 90 of them were committed to their products. a. Write the null and alternative hypotheses. b. What is the value of the test statistic? c. What is the associated P-value? d. State your conclusion using α = 0.05.Given the following hypotheses: H0: μ ≤ 8 H1: μ > 8 A random sample of 10 observations is selected from a normal population. The sample mean was 11 and the sample standard deviation was 4.6. Using the 0.1 significance level: State the decision rule. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Negative answers should be indicated by a minus sign. Round your answer to 3 decimal places.) What is your decision regarding the null hypothesis?27) The only difference between a one- and two-sided hypothesis test is: A. dependent on the sample size n. B. how you interpret the t-statistic. C. the sign of the slope coefficient. D. the null hypothesis.
- Why does a confidence interval contain more information than the resultof a single hypothesis test?Consider the following hypothesis from a sample of 22 observations that has the value ?=2.24: ?0:?=8 ??:?>8 What are the degrees of freedom for this statistic? Give the two critical values ?∗from t Distribution table that bracket t. Between what two values does the P-value of the test fall? Is the value ?=2.24 statistically significant at the 5% level? Is it statistically significant at the 1% level?Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 9 men was 32 minutes per day. The standard deviation was 21 minutes per day. The mean listening time for a sample of 9 women was also 32 minutes, but the standard deviation of the sample was 8 minutes. Use a two-tailed test and at 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? (Round your answer to 3 decimal places.) The test statistic is .Decision: H0:σ21=σ22.