In Exercises 5–20, assume that the two samples are independent simple random samples selected from
17. Are Male Professors and Female Professors Rated Differently? Listed below are student evaluation scores of female professors and male professors from Data Set 17 “Course Evaluations” in Appendix B. Test the claim that female professors and male professors have the same mean evaluation ratings. Does there appear to be a difference?
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Essentials of Statistics (6th Edition)
- A relationship expert wants to know if people with higher levels of emotional intelligence (measured on an interval scale from 1–6, with higher numbers meaning more intelligence) will be better liked upon first meeting people (measured on a 1–5 interval scale, with higher numbers meaning more likable). X: Emotional Intelligence Score X: First Impression Rating 6 1 2.5 4 M=3.38 s=2.14 SS = 13.69 Y: First Impression Rating 5 1.5 3 3.5 M=3.25 s=1.44 SS = 6.25 a) Create a scatterplot of the data. b) Calculate r and r2 . c) Report results in APA style. d) What do the results mean?arrow_forwardScenario: Does emotional intelligence vary based on the type of preschool a child attends? A researcher collects data on 300 four-year-olds who attend different local types of preschools. The researcher was able to collect data from four different types of preschools - Montessori, Waldorf, Parent Co-ops, and religious preschools. Emotional intelligence was quantified using the self-report Bar-On EQ-I, which ranges from 0 — 110, and is considered "scale" in nature. Assume data meets all assumptions for a parametric test. Question: What is the null hypothesis for this scenario?arrow_forwardScenario: Does emotional intelligence vary based on the type of preschool a child attends? A researcher collects data on 300 four-year-olds who attend different local types of preschools. The researcher was able to collect data from four different types of preschools - Montessori, Waldorf, Parent Co-ops, and religious preschools. Emotional intelligence was quantified using the self-report Bar-On EQ-I, which ranges from 0 — 110, and is considered "scale" in nature. Assume data meets all assumptions for a parametric test. Question: Which of the following best describes the scenario? Between-subjects Within-subjects Mixed designarrow_forward
- A relationship expert wants to know if people with higher levels of emotionalintelligence (measured on an interval scale from 1–6, with higher numbers meaning more intelligence) will be better liked upon first meeting people (measured on a 1–5 interval scale, with higher numbers meaning more likable). X: Emotional Intelligence Score Y: First Impression Rating 6 4.5 3 3.2 2.5 3 1 2 M=3.13s=2.10SS = 13.19 M=3.18s=1.03SS = 3.17 a) Create a scatterplot of the data.b) Calculate r and r2 .c) Report results in APA style.d) What do the results mean?arrow_forwardA clinical psychologist is interested in the relationship between testosterone level in married males and the quality of their marital relationship. A study is conducted in which the testosterone levels of eight married men are measured. The eight men also fill out a standardized questionnaire assessing quality of marital relationship. The questionnaire scale is 0–25, with higher numbers indicating better relationships. Testosterone scores are in nanomoles/liter of serum. The data are shown below. Subject Number 1 2 3 4 5 6 7 8 Relationship Score 24 15 15 10 19 11 20 19 Testosterone Level 12 13 19 25 M 16 15 21 a. Determine the least-squares regression line for predicting relationship score from testosterone level. b. What percentage of the variance in relationship score is accounted for by the regression equation? c. Can we conclude that there is a significant relationship between the testosterone level…arrow_forwardA relationship expert wants to know if people with higher levels of emotionalintelligence (measured on an interval scale from 1–6, with higher numbers meaning more intelligence) will be better liked upon first meeting people (measured on a 1–5 interval scale, with higher numbers meaning more likable). X: Emotional Intelligence Score Y: First Impression Rating 6 4.5 2.5 3.2 3 3 1 2 M=3.13s=2.10SS = 13.19 M=3.18s=1.03SS = 3.17 c) Report results in APA style.d) What do the results mean?arrow_forward
- Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 14.2 17.7 14.4 19.6 20.0 Σx = 15; Σy = 85.9; Σx2 = 55; Σy2 = 1,506.45; Σxy = 271.2 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. (c) Find the sample correlation coefficient r and the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is explained…arrow_forwardBighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 13.8 19.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1554.45; Σxy = 274b) Find the equation of the least-squares line. (Round your answers to two decimal places.) ŷ = + x (c) Find r. Find the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = d) Test the claim that the population correlation coefficient is positive at the 1% level of significance. (Round your test statistic to three decimal places.) t =arrow_forwardBighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 12.2 17.5 14.4 19.6 20.0 (c) Find the sample correlation coefficient r and the coefficient of determination r2. (Round your answers to three decimal places.) r = ? r2 = ? What percentage of variation in y is explained by the least-squares model? __________ %(Round your answer to one decimal place.) incorrect answers: I submitted this question and was told this is the answer but it is NOT CORRECT. please help !! r=0.800 r2= 0.640 64% ( above answers are incorrect)arrow_forward
- Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.8 17.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1,540.45; Σxy = 272 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + xarrow_forwardpls. answer using 7 steps:-Parameter of interest-Null hypothesisAlternative hypothesis -Test statistic -Reject H0 if: -Computations: -Conclusionarrow_forwardA manufacturer knows that their items lifespans are normally distributed according to N(5.1,1.5)N(5.1,1.5).What proportion of the items' lifespans will be longer than 6 years?arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill