'j @ https://www.webassign.net/web/course/ZVDTHLR439KZSC C [ + [a Co-Req: Chap 13 Support HW m 13 Support HW - Math& 1486, section #3453 & #3454 Sp2024, Spring 2024 | WebAss... 1. [1/5 Points] DETAILS MY NOTES PECKCOREQ1ACC 14.E.003.MI. PREVIOUS ANSWERS PRACTICE ANOTHER Use the three-read strategy to understand the following exercise from a statistics textbook, and then proceed to complete the exercise. A paper about lying in online dating profiles describes an investigation including 45 men with online dating profiles. Each participating man's height (in inches) was measured and the actual height was compared to the height given in the man's online profile. The differences between the online profile height and the actual height (prole - actual) were used to calculate the values in the accompanying table. Sample mean Xg =052 Sample standard deviation | s; = 0.89 Sample size ng =45 (a) Construct a 99% confidence interval for the population mean difference in profile height and actual height (in inches). (Use the -critical value 2.692 Round your answers to three decimal places.) ( ) ) inches (b) Interpret the interval in context. We are 99% confident that the actual value of the population mean difference in profile height and actual height is somewhere above the upper interval value. We are 99% confident that the actual value of the population mean difference in profile height and actual height is somewhere between the lower and upper interval values. We are 99% confident that the actual value of the population mean difference in profile height and actual height is somewhere below the lower interval value. We are 99% confident that the actual value of the population mean difference in profile height and actual height is somewhere below the lower interval value or above the upper value. webassign.net + 2. [2/4 Points] DETAILS MY NOTES PECKCOREQ1ACC 15.2.004. PREVIOUS ANSWERS PRACTICE ANOTHER Ultrasound is often used in the treatment of soft tissue injuries. In a study to investigate the effect of ultrasound therapy on knee extension, range of motion was measured for people in a representative sample of physical therapy patients both before and after ultrasound therapy. A subset of the data is given in the accompanying table. Range of Motion Patient 2 3 4 6 7 Before Ultrasound 30 52 47 56 40 41 32 After Ultrasound 32 53 4 45 39 Use the three-read strategy to understand the problem, and then carry out a hypothesis test to determine if the population mean difference in range of motion (before - after ) is significantly different from zero. Use a significance level of a = 0.01 . (a) State the null and alternative hypothesis. OHo : Ma = 0; Ha : Ma > 0 OHo : Ma > 0; Ha : Ma 0 (b) Find the test statistic. (Round your answer to three decimal places.) (c) If the P -value for this test is 0.032, state the conclusion in the problem context. Reject Ho . There is not convincing evidence that the mean difference in range of motion is significantly different from zero. Reject Ho. There is convincing evidence that the mean difference in range of motion is significantly different from zero.o v 3. [3/7 Points] DETAILS webassign.net + 4. [2/4 Points] DETAILS MY NOTES PECKCOREQ1ACC 17.2.004. PREVIOUS ANSWERS PRACTICE ANOTHER Do faculty and students have similar perceptions of what types of behavior are appropriate in the classroom? This question was examined in a certain article. Each person in a random sample of 172 students enrolled in general education classes at a large public university was asked to judge various behaviors on a scale from 1 (totally inappropriate) to 5 (totally appropriate). People in a random sample of 97 faculty members also rated the same behaviors. Sample means for three behaviors are included in the following table. Assume that all of the sample standard deviations are equal to 1.0. Student Faculty Student Behavior Mean Mean Rating Rating Wearing hats in class 2.60 3.62 Addressing instructor by first name 2.70 2.13 Talking on a cell phone 1.33 1.32 Is there sufficient evidence to conclude that the mean "appropriateness" score assigned to wearing a hat in class for the population of students at this university is not the same as the mean "appropriateness" score for the population of faculty at this university? Use the three-read strategy to understand this problem, and then test the relevant hypotheses using a = 0.05 . (Let /] represent the population mean appropriateness score for students and /2 represent the population mean appropriateness score for faculty.) (a) State the appropriate null and alternative hypotheses. OHo : M1 - M2 0 OHo : HI - M2 = 0; Ha : M1 - 12 # 0 Ho : M1 - M2 = 0; Ha : M1 - M2 > 0 OHo : M1 - M2 = 0; Ha : M1 - M2 0; Ha : M1 - M2