If a researcher were conducting a one-tailed/directional hypothesis test with an alpha of 0.01 and he chooses to place the critical region in the left-hand tail, what is the correct value for Zcrit?
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If a researcher were conducting a one-tailed/directional hypothesis test with an alpha of 0.01 and he chooses to place the critical region in the left-hand tail, what is the correct value for Zcrit?
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- Aortic stenosis refers to a narrowing of the aortic valvein the heart. The article “Correlation Analysis ofStenotic Aortic Valve Flow Patterns Using PhaseContrast MRI” (Annals of Biomed. Engr., 2005:878–887) gave the following data on aortic root diameter(cm) and gender for a sample of patients having variousdegrees of aortic stenosis:M: 3.7 3.4 3.7 4.0 3.9 3.8 3.4 3.6 3.1 4.0 3.4 3.8 3.5F: 3.8 2.6 3.2 3.0 4.3 3.5 3.1 3.1 3.2 3.0a. Compare and contrast the diameter observations forthe two genders.b. Calculate a 10% trimmed mean for each of the twosamples, and compare to other measures of center(for the male sample, the interpolation method mentionedin Section 1.3 must be used).researcher suspects that, on average, those who are married have a higher householdincome than their unmarried counterparts. An independent samples t-test has been conducted to empirically examine whether the research’s gut feeling is true or not (alpha = 0.05). The two relevant variables for this problem are: marital and income (see the attached screenshot). Technically speaking, please report both t-statistic and its associated p-value for the group meandifference test (i.e., an independent samples t-test) Question 1: Using the screenshot image, please examine the following null hypothesis (please do state the null hypothesis here) and the alternative hypothesis (please state the null hypothesis here). We employed an independent samples t-test to examine the above null hypothesis, and found the t-statistic and the corresponding p-value to be _____________ and _____________, respectively. As the p-value is (or is not) smaller than the critical alpha, the null hypothesis should be (or…If we conduct a z-test and use the alpha level of p < .05 [and our test is 'non directional,' i.e, we consider values at both ends of the z-score distribution] the value that we calculate for the z-test has to fall inside to be considered rare enough to be statistically significant. 5% of the lower values (tail of the curve) or 5% of the upper values in the other tail of the curve. The middle 5% of the curve 2.5% of the lower values (tail of the curve) or 2.5% of the upper values in the other tail of the curve. The middle 95% of the curve
- A manufacturer of office machines is considering the production of a new word processor. The decision to start large-scale production of the new machines will be based on the comparison of the mean operating speed using the standard machines (µx) and the mean operating speed using the new machines (µy). Since operators of the machine have varying abilities, a random sample of 20 typists was selected and the speed of each typist in the sample was observed once using the new word processor and once using the standard word processor. The collected data on the speed (in minutes) are as follows: Typist (i) Standard Processor (Xi) 1 2 3 4 5 6. 8 10 60.2 58.7 59.4 60.3 61.7 60.2 64.1 63.2 62.4 57.8 New Processor (Yi) 57.2 57.4 56.4 58.5 60.1 61.4 61.9 60.4 60 56.8 Typist (i) Standard Processor (Xi) 11 12 13 14 15 16 17 18 19 20 55.4 61.2 64.7 64.1 62.9 65.8 69.3 56.4 58.5 63.7 New Processor (Yi) 50.2 58.4 63.5 60.5 62.2 66.3 68.5 56.6 58.3 60.2 Assuming normality, compute a 95% confidence…Which one of the following assumptions is required for the 2SLS estimator to be consistent? a) There are perfect linear relationships among the instrumental variables b) There is a correlation between each instrumental variable and the endogenous variable c) The conditional variance of the error term depends on an exogenous explanatory variable d) There is a strong correlation between each instrumental variable and the error termA researcher used a sample of n =16 adults between the ages of 40 and 45. For each person, the researcher recorded the difference between the ratings obtained while smiling and the rating obtained while frowning. On average the cartoons were rated as funnier when the participants were smiling, with an average difference of MD = 1.6, with SS = 135. Are the cartoons rated as significantly funnier when the participants are smiling ? Use a one-tailed test with α = .05. a. The null hypothesis in words is: b. The alternative hypothesis in symbols is: c. The critical t-value is d. The t-statistic is e. Your decision is f. Compute r2 to measure the size of the treatment effect. r2 is g. Report the results in APA. Include r2 as a measure of the effect size.
- What is the critical value at an alpha of .01 as a 1-tailed test, and based on its calculation what should the decision be? What is the possible error made? Was there an error?Suppose a researcher is interested in a new treatment plan for CD4 cell count in immune-compromised patients with HIV. In order to investigate the new drug, the researcher gathers a group of 25 individuals with a mean CD4 count of 335 cells/mm3 after treatment with a standard deviation of 12.1. Test the hypothesis that the mean CD4 count goal is not 329.28 cells/mm3. Perform a two-way directional test, complete the 5 step process and calculate the appropriate confidence interval. (Use an alpha level of 0.01)A student teacher wants to try a new method of improving reading comprehension in a 3rd grade clasroom. she has students take a pre test that measures reading comprehension on a scale from 1-20, where higher scores mean better reading comprehension. Next, she uses the new teaching method across a 3 week timespan. Then, she has students take a reading comprehension post-test. did her new teaching method significantly improve reading comprehension? use a one tailed test with an alpha level of 0.05. pre test post test 8 12 12 16 13 13 9 11 5 9 10 8
- A researcher is conducting a two-tailed hypothesis test (alpha=.05) among 39 adults from Omaha to examine whether there are significant differences between women and men in their views on gun control safety in Omaha. When looking at the t-table to choose a critical score, he finds that the degrees of freedom falls in-between 2 numbers. Why does he choose the higher t(critical) score, 2.042, rather than 2.021? Check all that apply a. Because choosing the higher critical score is a more liberal test. b. Because choosing the higher critical score is a more conservative test. c. Because choosing the higher critical score reduces the likelihood of Type I error. d. Because choosing the higher critical score reduces the likelihood of Type II error. e. Because choosing the higher critical score makes it easier to reject the null. f. Because choosing the higher critical score makes it more difficult to reject the null.A lumber company is making boards that are 29432943 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 1414 boards is made, and it is found that they have a mean of 2940.52940.5 millimeters with a variance of 144144. Is there evidence at the 0.0250.025 level that the boards are too short and unusable? State the null and alternative hypotheses for the above scenario.