In Exercises 5–20, assume that the two samples are independent simple random samples selected from
13. Are Male Professors and Female Professors Rated Differently?
a. Use a 0.05 significance level to test the claim that two samples of course evaluation scores are from populations with the same
b. Using the summary statistics given in part (a), construct a 95% confidence
c. Example 1 used similar sample data with
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ESSENTIALS OF STATISTICS 6TH ED W/MYSTA
- 2. Let X - tp. Verify the mean and variance formulas. (Hint: Let X = p/2UV-1/2.)arrow_forwardI. 6) Suppose that you score 79 on Exam 3. If the average score is 85, and the variance is 23.04, your z-score is: a) 0.26 b) -0.26 c) 1.25 d) -1.25 e) -2.05arrow_forwardA random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.6 3.9 4.8 3.2 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.7 4.0 4.5 5.2 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Note: If a two-sample t-test is appropriate, for degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.Use a calculator to calculate x1, s1, x2, and s2. (Round your answers to two decimal places.) x1 = s1 = x2 = s2 = (a) Do the data indicate that the violent crime rate in the Rocky Mountain…arrow_forward
- Determine the hypothesis using apa formatarrow_forwardIn a previous practice assignment, you learned about a study in which volunteers (who were all around 30 years of age) from the Chicago area wore light sensors to measure their exposure to sunshine. It was found that those who experienced more daylight had lower body mass indexes (BMIs). The study was observational. It was not an experiment, so conclusions about cause and effect could not be made. Let's redesign the observational study described above into an experimental study.arrow_forwardA student is eludying the migration pattems of several birds. She collects the data in the table. of rd () 3.0 Distasce Traveled (on) 276 4.5 10.0 1,909 2,356 25.0 What conclusion can the student make? (SC.5.N.1.1) O The distances bird travel is independent of their size. O Birds more than ten grams in weight are more likely to travel. O The smallest bird traveled the greatest distance. O The largest birds stay in the same habitat all year.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: 1. 3 4 12.2 17.5 14.4 19.6 20.0 A USE SALT Ex = 15; Ey = 83.7; Ex² = 55; Ey? = 1,446.61; Exy = 268.8 (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.) y = (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y y 22 22 20 20 18 18 16 16 14 14 12 12arrow_forwardJust Part A and Barrow_forward3arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill