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
what are the null and alternative hypothesis
identify the test statistic
ifentify the p value
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- 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 is the same for all samples (the control)?arrow_forward✅✅❎♦️♦️♦️✅✅✅♦️arrow_forwardA 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 is one of the factors that could negatively effect sample collection?arrow_forward
- The table below summarizes data from a survey of a sample of women. Using a 0.05 significance level, and assuming that the sample sizes of 900 men and 400 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Q Women who agree Women who disagree Gender of Interviewer Man 555 345 Woman 318 82 Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. H₁: The proportions are different. B. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H₁: The proportions are the same. OC. Ho: The response of the subject and the gender of the subject are…arrow_forwardResearchers 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…arrow_forward✅❎♦️✅✅♦️♦️arrow_forward
- 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…arrow_forwardrefer to image belowarrow_forwardst is 22. Oishi and Shigehiro (2010) report that people who move from home to home frequently as children tend to have lower than average levels of well-being as adults. To further examine this relationship, a psychologist obtains a sample of n = 12 young adults who each experienced 5 or more different homes before they were 16 years old. These participants were given a standardized well-being questionnaire for which the general population has aarrow_forward
- Many institutes, departments, and recruitment committees are using citations as part of the assessment process involved in making new appointments. By going through scientific databases like Scopusselection panels can check if a candidate’s work is making an impact by being cited by other researchers in their field. How does the scientific community measure how "good" or "great" a journal or an author is? How do you determine the "impact" of an author's work? The most 2common metric to track an author's impact is ask how often they are cited. The following table presents the number of citation on research publications of two Management Science professors over a period of 17years, 2005 to 2021, data taken from Google Scholar. The objective of this assignment is to find a suitable forecasting method (moving average, exponential smoothing, and/or simple linear regression model) to predict near future citation of a researcher. (a) For each professor, develop a scatter diagram on his…arrow_forwardA sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I Country II Country III Country IV 12.3 8.3 20.4 17.3 9.1 17.2 16.5 8.7 10.9 19.2 22.8 14.2 8.8 10.2 5.5 21.4 16.1 19.2 19.3 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Round your answer to three decimal…arrow_forwardTo properly examine the effect of a categorical independent variable in a multiple linear regression model we use an interaction term. True O Falsearrow_forward
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