MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Describe three research questions that could be tested using an independent samples t-test .
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- You have reason to believe that the weekly viewing of Big Bang Theory (the television show, not the actual theory) will lower an individual's IQ. In February, seven test participants who had never watched the show were gathered, given an IQ test, subjected to weekly viewing of the show for 12 weeks, then in May given another similar IQ test. Results are as follows. Sums of interest included = 47 and 2 Σ (d-a) ² = 29.429. Participant ABCDEFG Feb 92 121 115 87 132 99 124 IQ test result May 86 118 110 78 125 91 115 4arrow_forwardWhen should you use a z-test versus a single sample t-test?arrow_forwardExplain the difference between dependent and independent samplesarrow_forward
- A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?arrow_forwardState the number of degrees of freedom available for determining the within-samples variation.arrow_forwardIf you have a study design that requires two different samples, what sort of test might you consider? Matched samples test Independent samples testarrow_forward
- The within subjects ANOVA may be used witharrow_forwardTable 1 summarizes the demographic and baseline data. Since two independent groups were included, the baseline data between these two groups were compared and p values were included in this table. Please tell which specific statistical test was used for the comparison between number of intubation attempts and trauma. Your answer should be as specific as possible. For example, was the test two-sided or one-sided? Was the test for paired samples or not?arrow_forwardWhy are post hoc tests performed?arrow_forward
- An athletic shoemaker wants to test if their new running shoe specially made for sprinting is better than the competition. To do this, they recruit 35 NCAA sprinters and time their 100-meter dash wearing the company's shoe and then time their 100-meter dash again wearing the competitor’s shoe. The difference of these times is then calculated asTimecompany.shoe−Timecompetitor.shoe. The sample mean difference in times is 0.53 seconds and the sample standard deviation is 1.1. Conduct a hypothesis test at theα=0.1 level. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in the context of the problem) (b) Calculate the test statistic (c) Calculate the critical value. (d) Draw a picture of the distribution of the test statistic underH0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at theα= 0.15 level and state your conclusions in the…arrow_forwardHow would you respond to Step 3 for the One-Sample Z test? When is it appropriate to use?arrow_forwardA researcher compares depressed and nondepressed individuals to see if they differ in the number of Instagram followers they each have. For this comparison an Independent-samples t test would be appropriate. False Truearrow_forward
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