If the null hypothesis is true, this means that there is no real difference between sample means and the expected F-ratio is _______.
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- Which one of the following statements is true regarding two random samples drawn in the same way from the same population, one of size 30 and one of size 300? A.The larger sample is more likely to produce a large sample mean. B.The smaller sample will have a smaller 95% confidence interval for the mean. C.The smaller sample will, on the average, produce a lower estimate of the variance of the population. D.The two samples would have the same expected value.Which of the following statements is false? (a) When the alternative hypothesis is two-sided, the null hypothesis is rejected for values of the test statistic located in either tail of that statistic's sampling distribution. (b) If we do not know the population variance, then our test statistic is distributed according to the t-distribution. (c) When the p-value is less than the significance level, we reject the null hypothesis. (d) When the alternative hypothesis is greater than, the rejection region is the upper tail of the distribution (e) None of the aboveWhich of the following scatterplots provides evidence that the condition of equal variance for inference for the slope of a regression line has not been met?
- One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?Pele took all samples of size n=40 from a population of test scores. He found that on average, the sample means he obtained were 6.2 points away from the mean of the sample mean which was 80. What are the standard error and the expected value of Pele’s dataset?Which of the following is a fundamental difference between the t statistic and a z-score? -The t statistic computes the standard error by dividing the standard deviation by n - 1 instead of by n. -The t statistic uses the sample variance in place of the population variance. -The t statistic uses the sample mean in place of the population mean. -All of these options are differences between t and z.
- Suppose that a 95% confidence interval for the variance o² of a normal distribution is found to be (0.24, 0.95). Which statement(s) is (are) correct about a test of Ho : o² = 1 vs. Ha : o² ‡ 1. (1) We reject Ho at the 0.05 significance level. (II) We fail to reject Ho at the 0.05 significance level. (III) We fail to reject Ho at the 0.01 significance level. (IV) Both (II) and (III).Rather than a series of t-tests, analysis of variance is used because ...Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. Longboard: 4,8,8,4,7,7,10,6,8,10,12,11,9,15,11,16,12,9,12,18,19,15,11,15,19,20,9,23,21,23 Shortboard: 6,4,4,6,7,7,8,9,4,7,8,5,9,7,4,15,11,10,13,12,11,14,9,11,12,16,9,20,22,11 Determine the hypotheses for this test. Choose the correct answer below. O A. Ho: PL=Ps O B. Ho: HL Hs O F. Ho: HL> Hs Ha: HL # Hs Ha: HL = Hs Find the test statistic for this test. t= (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.) What is the conclusion for this…
- Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. Longboard: 4,9,8,4,9,8,8,6,7,9,11,11,11,13,12,16,14,9,11,18,20,15,10,16,20,20,8,20,21,23 O Shortboard: 6,4,4,6,8,8,6,9,4,6,7,5,9,7,4,16,13,11,13,13,11,15,10,10,13,14,11,21,21,12 Determine the hypotheses for this test. Choose the correct answer below. O A. Ho: HL = Hs O B. Ho: HL = Hs OC. Ho: HL # Hs Ha: HL Hs O F. Ho: HL = Ps Ha: HL = Ps Ha: HL = Hs Ha: HL > Hs Find the test statistic for this test. t = (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places…Which of the following statements about a least-squares regression analysis is true?I. A point with a large residual is an outlier.II. A point with high leverage has a -value that is not consistent with the other -values in the set.III. The removal of an influential point from a data set could change the value of the correlation coefficient.The data from an independent-measures research study produce a sample mean difference of 4 points, and each sample has a variance of 10. If there are n = 20 scores in each sample, then what is the estimated standard error of the difference between means?
