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A: Given We have given p-value = 0.337 and level of significance α=0.05
Write TRUE if the statement is unconditionally true. Otherwise, write FALSE.
1. If Ho is rejected at 0.05 level of significance, then Ho will also be rejected at
0.10 level of significance using the same test on the same dataset.
2. A 95% confidence
hypothesis Ho: μ = 20 vs Ha: μ ≠ 20 at 0.05 level of significance.
3. In testing for a disease, the null hypothesis is the person is healthy while the
alternative hypothesis is the person has the disease. If a healthy person is
diagnosed as having the disease, a Type I error is committed.
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- You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ=53.4 Ha:μ<53.4You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = 45.6 39.8 42.3 45.4 33.4 46.6The mean number of eggs per person eaten in the United States is 263. Do college students eat less eggs than the average American? The 62 college students surveyed averaged 260 eggs per person and their standard deviation was 30.3. What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: Correct H1:H1: Correct The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly less than 263 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is less than 260. The data suggest that the population mean is not…The average number of accidents at controlled intersections per year is 5.7. Is this average less for intersections with cameras installed? The 58 randomly observed intersections with cameras installed had an average of 5.4 accidents per year and the standard deviation was 1. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer = > ≠ < H1:H1: ? μ p Select an answer ≠ > < = The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject accept fail to reject the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly less than 5.7 at αα =…
- You wish to test the following claim (HaHa) at a significance level of α=0.05. Ho:μ=57.2 Ha:μ≠57.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=6 with mean M=69.6 and a standard deviation of SD=11.7.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 99% confidence interval for the difference µ, - H, between in the mean recovery times for the two medications, assuming normal populations with equal variances. Medication 1 n = = 10 x, = 17 = 1.9 Medication 2 n2 = 14 X2 = Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. = 19 S2 = 1.5 .... . The confidence interval isA custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is less than the mean of WaxCo. In a random sample of 18 floors of WaxWin and 10 of WaxCo. WaxWin had a mean lifetime of 22.1 with a standard deviation of 5.6 and WaxCo had a mean lifetime of 28.5 with a standard deviation of 7.1. Perform a hypothesis test using a significance level of 0.05 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: O Ho: H1 µ2(claim) O Ho: µ1 2 H2 HA: H1 < µ2(claim) O Ho: µ1 = µ2 HA: H1 7 M2(claim) Since the level of significance is 0.05 the critical value is -1.751 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the mean of WaxWin is less than the mean of WaxCo. O There is not enough evidence to reject the claim that the mean of…You wish to test the following claim (HaHa) at a significance level of α=0.10. Ho:μ=61.2 Ha:μ>61.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=104 with mean M=64.8 and a standard deviation of SD=20.3.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = __________What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = __________The p-value is... less than (or equal to) αα or greater than α (choose one) ________________Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha) used for this problem is 0.05. What is the appropriate test statistic (Student must complete by showing by formula using the ap- propriate values in that formula "showing work" and the final answer and appropriate label)? O T test score = (108-110)/(21/sqrt(45)) = -.639 T test score (108-110)/(21/sqrt(45)) = .639 %3D OT test score = (110-108)/(21/sqrt(45)) = .639 %3D T test score (108-110)/(45/sqrt(21)) =-.2037 %3D 素Assume we wish to test to see if the mean starting salary of statistics professors is different than the mean starting salary of biology professors: Let Ho: µStat = µBio versus Ha: µStat µBio at the alpha = .05 level of significance and we found the following 95% confidence interval: (126, 610) for µStat - µBio. We would reject Ho. We would Fail to Reject Ho. We would reject Ho based on a 90% confidence interval. We would fail to reject Ho based on a 90% confidence interval. Assume that we use the same sample to construct the 90% confidence interval. Please pick a choice from the following 4 options.You wish to test the following claim (Ha) at a significance level of α=0.02. Ho:μ=63.3 Ha:μ>63.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=62 with mean M=68 and a standard deviation of SD=16.2.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 63.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 63.3. The sample data support the claim that the population mean is greater…A researcher has obtained the following scatter plot depicting the relationship between Y and X. On the graph, you can see three possible regression lines, which have a common y-intercept of bo = 35.48. Lines A, B and C cross the y-axis at coordinates (52, 106.78), (52, 66.52) and (52, 36.67), respectively. Given the confidence interval is (0.333, 1.122), choose the correct answer(s). rise Hint: Calculate slope of each line using known formula slope = run 35.48 0 Line A Line B Line C O O O 60 X 8 00 52 106.78 66.52 36.67 Select one or more: ✔a. The slope of Line A is within the confidence interval. ✓b. The slope of Line B is within the confidence interval. ✓ C. The slope of Line C is within the confidence interval.Give a 99.8% confidence interval, for µ1 - µ2 given the following information. 2.04, s1 = 0.39 20, ã1 60, x2 = 2.37, 82 - 0.7 n2 Use Technology Rounded to 2 decimal places.SEE MORE QUESTIONS