Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue backgroundwere given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. Theresearchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributedpopulations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b).Click the icon to view the summary statistics.OA. Ho: H₁ H₂H₁ H₁ H₂OC. Ho: H₁<a. Use a 0.05 significance level to test the claim that blue enhances performance on a creative task.What are the null and alternative hypotheses?H2H₁: H₁ H₂Question 8 of 11 >The test statistic, t, is. (Round to two decimal places as needed.)(Round to three decimal places as needed.)The P-value isState the conclusion for the test.zero,only negative values,only positive values,SKILOA. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task.OB. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task.OC. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task.OD. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task.so therethe confidence interval that results in the same conclusion from part (a)?b. Construct the confidence interval suitable for testing the claim in part (a). What is it about the confidence interval that results in the same conclusion from part (a)

The significance level, α=0.05 Background μ n x s Blue μ1 49 3.79 0.56 Red μ2 48 2.87 0.89…

Answered: Researchers conducted trials to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the summary statistics. a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) The…
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A recent study investigated whether cell phone users experience separation anxiety when they cannot access their phones. Because blood pressure increases with anxiety, the researchers used systolic blood pressure as an operational measure of anxiety. The experiment involved a random sample of cell phone users that were divided into two groups at random. One group of participants completed a survey while their phones were locked in a cabinet in a separate room and the other group of participants completed the same survey while their phones were nearby. (The survey questions were unrelated to cell phone use.) At the end of the survey, theresearchers measured each participant's systolic blood pressure. The same experiment was conducted in Montreal, Toronto, Vancouver, and St. Zotique. The blood pressure data needed is below. Use these data to answer the following question: compute r2 for the data collected in st. zotique. Please answer to 5 decimal places. Cell Phone (CP) No Cell Phone…
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In a study to compare two different methods of teaching reading, a class of 20 children was divided into two groups at random. Each group was taught reading using one method. After six months the two groups were given the same test. One pupil in the first group was ill and missed the test. The scores are given below.Method 1 80 85 79 81 89 73 50 71 76Method 2 79 62 75 68 62 73 76 81 73 61(a) Calculate the extreme values and the quartiles for each group. (b) Hence draw box-and-whisker plots for the two groups using the same scale. (c) Comment on the differences between the two groups.
Consider an experiment for patients who underwent CPR for a heart attack and then was sent to the hospital. Patients were randomly divided into a treatment group where they received a blood thinner or the control group where they did not. We're interested in understanding what proportion of patients survived in the first 24 hours in the hospital. Here's the data: Control Treatment Survived 11 14 Died 39 26 With the help of Mathematics and R Studio: Conduct a (full) hypothesis test to determine if the treatment group survived at a higher rate than the control group.
The director of student services at Oxnard College is interested in whether women are just as likely to attend orientation as men before they begin their coursework. A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Women Men Yes 440 410 No 238 239 What can be conduded at the a - 0.10 level of significance? For this study, we should use z-test for a population proportion a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal and note that p1 and ul represent the proportion and mean women and and u2 represent proportion and mean for men.) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic ? v (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d.…
A psychologist would like to research if the Hope scale (Synder, et al., 1991) scores differ between those living in City A and City B. The 12-item scale consisted of two subscales: a 6-item agency subscale and a 6-item pathways subscales. Scores on the 12 items were averaged, with higher scores indicating higher levels of hope. The following scores were obtained. Use Student’s t Test for Independent Groups, alpha at .05 2 tail City A 43 38 36 38 52 60 58 66 55 63 City B 62 34 35 52 58 72 57 55 80 67 Alternative hypothesis: ____________ Null hypothesis: ____________ t obtained: ____________ t critical: ____________ df: ____________ Cohen’s d: ____________ P value: ____________ Decision: ____________ Solution:
A recent study investigated whether cell phone users experience separation anxiety when they cannot access their phones. Because blood pressure increases with anxiety, the researchers used systolic blood pressure as an operational measure of anxiety. The experiment involved a random sample of cell phone users that were divided into two groups at random. One group of participants completed a survey while their phones were locked in a cabinet in a separate room and the other group of participants completed the same survey while their phones were nearby. (The survey questions were unrelated to cell phone use.) At the end of the survey, theresearchers measured each participant's systolic blood pressure. The same experiment was conducted in Montreal, Toronto, Vancouver, and St. Zotique. The blood pressure data for all participants needed are below. Use these data to answer the following question: comoute the estimated standard error of d for the data collected in toronto. Please answer to 5…
A group of statisticians decides they will answer the question: Has the wolf reintroduction to Yellowstone been detrimental to elk herds in the park? They decide that each of the four data scientists will take a quadrant of the park to collect a sample from as randomly as possible. They decide they will collect the sample during the winter, the time the elk herds are most stressed. They agree to trust each others professional judgement when it comes to the health of the individual elk in the herd. They will give each elk a grade out of 3pts: 1 pt for sick, 2pts for fair, and 3pts for healthy. They then share their data and compare to create a final report on the overall health of the elk in the park. In this scenario, what kind of random sampling did the statisticians use?
Strack, Martin, and Stepper (1988) reported that people rate cartoons as funnier when holding a pen in their teeth (which forced them to smile) than when holding a pen in their lips (which forced them to frown). A researcher attempted to replicate this result using a sample of n = 25 adults between the ages 40 and 45. For each person, the researcher recorded the difference between the rating obtained while smiling and the rating obtained by frowning. On average, the cartoons were rated funnier when the participants were smiling, with an average difference of M D = 1.6 with SS = 150. In this problem, you do not have to calculate SS or the mean difference which is already provided. Will there be a difference between the two conditions? Use a two-tailed test with α= .01 Show all the steps. n = df = MD= μD = s2 = SM D= State the hypothesis s and select alpha (consider one tailed or two tailed): Locate critical region for stated alpha: Compute test statistic (Repeated measure t-score):…
A researcher randomly assigns college freshmen to either of two experimental conditions. Because both groups consist of college freshmen, someone claims that it is appropriate to use a t test for the two related samples. Comments?

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