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Surgical complications: A medical researcher wants to construct a 98% confidence interval for the proportion of knee replacement surgeries that result in complications. Part: 0 / 2 Part 1 of 2 (a) An article in a medical journal suggested that approximately 20% of such operations result in complications. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.08? A sample of operations is needed to obtain a 98% confidence interval with a margin of error of 0.08 using the estimate 0.2 for p.Watching TV: In 2012, the General Social Survey asked a sample of 1310 people how much time they spent watching TV each day. The mean number of hours 1was 2.8 with a standard deviation of 2.6. A sociologist claims that people watch a mean of 3 hours of TV per day. Do the data provide sufcient evidence to conclude that the mean hours of TV watched per day is less than the claim? Use the a: 0.10 level of signicance and the Pvalue method with me "IT84 Plus calculator. This hypothesis test is a (Choose one} 1' left-ta i led righttailed twotailed Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720. She finds that a random sample of 60 people had a mean FICO score of 695 with a standard deviation of 65. Can the economist conclude that the mean FICO score is less than 720? Use the a = 0.05 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0 / 4 Part 1 of 4 State the appropriate null and alternate hypotheses. Ho: 00 0=0 H1 This hypothesis test is a (Choose one) test. left-tailed X 5 right-tailed two-tailedCuring diabetes: Vertical banded gastroplasty is a surgical procedure that reduces the volume of the stomach in order to produce weight loss. In a recent study, 82 patients with Type 2 diabetes underwent this procedure, and 59 of them experienced a recovery from diabetes. Does this study provide convincing evidence that less than 76% of those with diabetes who undergo this surgery will recover from diabetes? Use the a = 0.05 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0 / 4 Part 1 of 4 (a) State the appropriate null and alternate hypotheses. Ho 00 0=0 H1 : 0#0 P This hypothesis test is a (Choose one) test. X 5 right-tailed left-tailed two-tailedType I error: A company that manufactures steel wires guarantees that the mean breaking strength (in kilonewtons) of the wires is greater than 50. They measure the strengths for a sample of wires and test H0: p. = 50 versus H1 : p. > 50. If a Type I error is made, what conclusion will be drawn regarding the mean breaking strength? The conclusion will be that the mean breaking strength is (Choose one} less than greater than less than or greater than Does this diet help? A group of 75 people enrolled in a weight-loss program that involved adhering to a special diet and to a daily exercise program. After six months, their mean weight loss was 26 pounds, with a sample standard deviation of 10 pounds. A second group of 39 people went on the diet but didn't exercise. After six months, their mean weight loss was 12 pounds, with a sample standard deviation of 7 pounds. Construct a 99.9% confidence interval for the mean difference in weight losses. Let u, denote the mean weight loss of the group with daily exercise. Use the TI-84 Plus calculator and round the answers to the nearest integer. A 99.9% confidence interval for the mean difference in weight loss, in pounds, isMore time on the Internet: A researcher polled a sample of 1066 adults in the year 2.010r asking them how many hours per week they spent on the Internet. The sample mean was 9.42 with a standard deviation of 13.65. A second sample of1059 adults was taken in the year 2012. For this sample, the mean was 10.49 with a standard deviation of 14.45. Assume these are simple random samples from populations of adults. Can you conclude that the mean number of hours per week spent on the Internet differs between 2010 and 2012? Let p1 denote the mean number of hours spent on the Internet in 2.010. Use the a: 0.10 level and the Pvalue method with the 1184 calculator. Part: 0f4 Part 1 of 4 State the appropriate null and alternate hypotheses. E|EI E|=E| lefttailed right-tailed twotailed SAT coaching: A sample of 10 students took a class designed to improve their SAT math scores. Following are their scores before and after the class. Can you conclude that the mean increase in scores is less than 15 points? Let \"I represent the mean score after the class and pa, = H p2. Use the 0:: 0.05 level and the Pvalue method with the TI84 Plus calculator. Score Before 408 513 483 44'? 440 439 435 451 453 491 After 407 525 482 482. 47"9 451 431 454 463 51] (Send data in Excel?) Part: 0 I 4 Part 1 of 4 (a) State the appropriate null and alternate hypotheses. H : 0 B EIE| E|=E| Hem EI=E| u.- x 3 lefttailed righttailed This is a twotailed Is the lottery fair? Power ball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the \"Powerball.'r Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of152 drawings were made. For the purpose of this exercise, we grouped the numbers in to five categories: 17, 314, and so on. If the lottery is fair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the hypothesis that each of the categories is equally likely. Use the 0.05 level of signicance and the Pvalue method with the TI34 Plus calculator. Category' 17 814 1521 2223 2935 Observed' 40 20 23 31 33 I1:5enddatatusmei:i Part: 0 I 4 Part 1 of4 (a) State the null and alternate hypotheses. H01P1 =P2 =P3 =P4 =P5 = D H1: Some or all of the actual probabilities {Choose one) 1' differ do not differ A recent study examined the effects of carbon monoxide exposure on a group of construction workers. The following table presents the numbers of workers who reported various symptoms, along with the shift (morning, eyeningr or night) that they worked. Morning Shift Evening Shift Night Shift Inuenza 20 18 12 Headache 15 38 Weakness 17 20 9 Shortness of Breath 4 7 14 If Send data to Excel ":1: Test the hypothesis of independence. Use the a: 0.01 level of significance and the Pvalue method with the TI84 Plus calculator: What do you conclude? Part: (\"4 Part 1 of4 State the null and alternate hypotheses. H0: The shift and reported symptoms independent. 8 ' X H1: The shift and reported symptoms independent. This hypothesis test is a (Choose one) 'I' tESt- Foot temperatures: Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measuredr in degrees Fahrenheit, for 8 diabetic patients. The results are presented in the following table. Use a TI84 Plus calculator to answer the following. Left Foot Right Foot 85 85 89 87 8? 82 80 8] 80 80 86 85 T6 80 88 89 if Send data in Excel a} Part 1 of 4 (a) Construct a scatterplot of the right foot temperature ()) versus the left foot temperature (x). 92- X 5 90- 86- 84. Right Foot Temperature ( OF) 80- 78- 76- 72 72 74 76 78 82 84 86 92 Left Foot Temperature ( F)Select the appropriate word or phrase to complete the sentence. The closer r is to Price of eggs and milk: The following table presents the average price in dollars for a dozen eggs and a gallon of milk for each monm from March through December 2003. Use a "Fl84 calculator to answer the following. Dozen Eggs Gallon of Milk 1.13 3.23 1.16 3.23 1.19 3.21 1.14 3.12 1.17 3.09 1.17 3.14 1.23 3.13 1.26 3.17 1.28 3.21 1.35 3.24 Send dain'bElmel Compute the leastsquares regression line for predicting the price of milk from the price of eggs. Round the slope and yintercept to at least four decimal places. A Regression line equation: y = [j Interpreting technology: The following display from the 1184 Plus calculator presents the leastsquares regression line for predicljng the price of a certain stock (3.?) from the prime interest rate in percent (3:). a = 142994935 b = {136586498 r2 = 0.4799097394 r = 0.69275513 Write the equation of the leastsquares regression line. Use the full accuracy shown in the calculator output (do not round your answers}. A Regression line equation: y = C]