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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- Health care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Each in a sample of 44 hospital employees who were diagnosed with a latex allergy based on a skin-prick test reported on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are x= 19.4 and s = 11.7. Complete parts (a) - (d). a. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy. b. Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy. (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) c. Give a practical interpretation of the interval, part (b). O A. One can be 95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval. O B. One can be 95% confident that the…arrow_forwardA B This graph has an r of -0.5. C Darrow_forward3arrow_forward
- Winter visitors are extremely important to the economy of Southwest Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity. Hotel occupancy data for February in two consecutive years are as follows. current year previous year occupied rooms 1470 1458 total rooms 1750 1800 a.) Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. b.) What is the estimated proportion of hotel rooms occupied each year? c.) Using a 0.05 level of significance, what is your hypothesis test conclusion? What is the p-value? d.) What is the 95% confidence interval estimate of the change in occupancy for the one-year period?arrow_forwardThe table below lists leading digits of 317 inter-arrival Internet traffic times for a hospital computer along with the frequencies of leading digits expected with Benford’s Law. (Benford’s Law is an observation about the leading digits of the numbers found in real-world data sets. We would think that each digit would occur about 11.1% of the time, but that is not how it works. It has been used to detect fraud.) LeadingDigit1 2 3 4 5 6 7 8 9 Occurrence 76 62 29 33 19 27 28 21 22 Benford’sLaw 30.1% 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% Test to see if the leading digits in the Internet Traffic times occur at the same frequency as given by Benford’s Law.arrow_forwardA purchasing agent obtained 60 watt bulbs from two companies. He has the samples tested in his laboratory for the length of the life with the following results: Length of Life (in hours) 1700 and under 1900 1900 and under 2100 2100 and under 2300 2300 and under 2500 2500 and under 2700 Соmpany A Соmpany B 12 3 14 30 20 17 8 6 2 a. Which Company's bulb do you think are better in terms of average life? b. If price of both types are the same, which company's bulbs would you buy and why? ( Coefficient of variation is Mean /Standard deviation **100)arrow_forward
- Paragraph 5. Compute the Variance on the data below Test Scores X-X bar (X-X) bar squared Xi 58 61 64 71 79 81 83 84 91 92 (x – x)2 s2 = E п - 1arrow_forwardExample 1. Given µ = 80, a = 20, n = 19. Find , Oi and Example 2. Given µ = -10, o = 5, n = 500, find F andi Solution: Solution: a. Solve for sample mean * : i = µ =-10 A. Solve for sample mean: * = 4 Σ=μ= 80 b. Solving for variance o? 5? 25 = 0.05 500 500 B. Solving for standard deviation: O: 20 20 - = 4.59 In V19 4.36 C. Solving for variance: ºi 20? 400 = 21.05 19 n 19 ACTIVITY: Find x¸ ºž andºi for the following. 1. Given u = 5.75, o = 1.02, n=81. 2. Given u = 128, o = 22, n=36. 3. Given u = 12, o = 1.5, n=90. 4. Given u = 72, o = 6, n=45. 5. A population has mean 5.75 and standard deviation of 1.02. If a random sample of 81 are taken, find the mean and variance of the sample mean.arrow_forwardAfter conducting a one-sample Z-test, you arrived at a value of -12.5 for the z value. What is your conclusion?arrow_forward
- The data in the accompanying table are from a paper. Suppose that each person in a random sample of 49 male students and in a random sample of 88 female students at a particular college was classified according to gender and whether they usually or rarely eat three meals a day. Find the test statistic and P-value. (Use SALT. Round your test statistic to three decimal places and your P-value to four decimal places.) Usually Eat3 Meals a Day Rarely Eat3 Meals a Day Male 26 23 Female 35 53arrow_forwardThe population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠(not equal sign) 0 at a = .05? (Give your answers correct to three decimal places.) Population 9.2 2.6 1.3 6.6 0.4 0.2 2.3 4.3 3.3 0.2 Crime Rate 11.9 9.1 7 8.7 8.1 8.1 9.5 8.5 9 6.7 (a) Calculate r.(ii) Calculate the critical region. (smaller value) (larger value)arrow_forwardPlease answer the following question using ****EXCEL*****arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill