Gardne's Theory of Multiple In lekscgi/x/lslexe/10_u-lgNsikasNW8D8A9PVV9VD8625vSCmhhVzCmyKLDuxWyOCx0LulQq7q1N-QdHPI418i5AJkt6yRdLHEc1SuvS5n4CnhrWWr7POL My Shelf | Brytewav... Jenni Pearson Revel - Das... The Stepping Stone... A ALEKS-Adaptive L... Homework 20-9.3 Question 6 of 7 (t point) I Question Attempt: 1 of Unlimited Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to at least three decimal places. \[ t=2.081^{\otimes} \] Correct Answer: \[ t=2.003 \] Part: \( 2 / 5 \) Part 3 of 5 Select the correct interval for the \( P \)-value. - \( P \)-value \( \leq 0.025 \otimes \) \( 0.025<P \)-value \( \leq 0.05 \) \( 0.05<P \)-value \( \leq 0.10 \) \( P \)-value \( >0.10 \) Try again Skip Part Rechd O2024 Mceraw HillLC.Al Riohts R Search
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- The given test statistic is \( t = 2.081 \). Show more…
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(i) What is the level of significance? State the null and alternate hypotheses. (ii) Check Requirements What sampling distribution will you use? What assumptions are you making? What is the value of the sample test statistic? Compute the corresponding $z$ or $t$ value as appropriate. (iii) Find (or estimate) the $P$ -value. Sketch the sampling distribution and show the area corresponding to the $P$ -value. (iv) Based on your answers in parts (i)-(iii), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? (v) Interpret your conclusion in the context of the application.Note: For degrees of freedom $d . f$. not in the Student's $t$ table, use the closest $d . f$. that is smaller. In some situations, this choice of $d . f .$ may increase the $P$ -value a small amount, and therefore produce a slightly more "conservative" answer.Answers may vary due to rounding. Lost Time In her book Red Ink Behaviors, Jean Hollands reports on the assessment of leading Silicon Valley companies regarding a manager's lost time due to inappropriate behavior of employees. Consider the following independent random variables. The variable $x_{1}$ measures manager's hours per week lost due to hot tempers, flaming e-mails, and general unproductive tensions:$$\begin{array}{llllllll}x_{1}: & 1 & 5 & 8 & 4 & 2 & 4 & 10\end{array}$$.The variable $x_{2}$ measures manager's hours per week lost due to disputes regarding technical workers' superior attitudes that their colleagues are "dumb and dispensable":Use a calculator with sample mean and standard deviation keys to verify that $\bar{x}_{1} \approx 4.86, s_{1} \approx 3.18$ $\bar{x}_{2}=6.5,$ and $s_{2} \approx 2.88$(a) Does the information indicate that the population mean time lost due to hot tempers is different (either way) from the population mean time lost due to disputes arising from technical workers' superior attitudes? Use $\alpha=0.05 .$ Assume that the two lost-time population distributions are mound-shaped and symmetrical. (b) Find a $95 \%$ confidence interval for $\mu_{1}-\mu_{2}$. Explain the meaning of the confidence interval in the context of the problem.
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Ch 11: Practice - Introduction to Hypothesis Testing You conduct a hypothesis test about a population mean ̀ at a significance level of ́ = 0.05 using a sample of size n = 53. The population standard deviation ́ is known, so you use the standardized test statistic (z). Your test statistic follows a standard normal distribution when the null hypothesis is true, and its value obtained from the sample is z = -2.50. Use the Distributions tool to help you answer the questions that follow. If you perform a left-tail test, the p-value is. You the null hypothesis in this case, because the p-value is than the significance level. If you perform a two-tail test, the p-value is. You the null hypothesis in this case, because the p-value is than the significance level.
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Do students perform the same when they take a test alone as when they take it in a classroom setting? Eight students were given two tests of equal difficulty. They took one test in a solitary room and they took the other in a room filled with other students. The results are shown below. Scores: Alone: 81, 82, 96, 81, 87, 89, 78, 78 Classroom: 79, 80, 93, 74, 75, 78, 74, 75 Assuming a normal distribution, what can be concluded at the α = 0.10 level of significance? The test statistic t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) Part B: Do college students enjoy playing sports less than watching sports? A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10, with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Playing Vs. Watching Sports: Playing: 10, 9, 8, 9, 6, 6, 4, 6, 9, 9 Watching: 10, 10, 8, 7, 9, 8, 6, 10, 10, 8 Assuming a normal distribution, what can be concluded at the α = 0.01 level of significance? The test statistic t/z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) Part C: You wish to test the following claim (Ha) at a significance level of α = 0.02. For the context of this problem, μd = μ2 - μ1, where the first data set represents a pre-test and the second data set represents a post-test. Ho: μd = 0 Ha: μd ≠ 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 8 subjects. The average difference (post - pre) is d = 27.5 with a standard deviation of the differences of sd = 22.9. What is the critical value for this test? (Report answer accurate to three decimal places.) Critical value = ± What is the test statistic for this sample? (Report answer accurate to three decimal places.) Test statistic =
Kirsty G.
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