5.88 LASIK surgery complications. According to studies, 1% of all patients who undergo laser surgery (i.e., LASIK) to correct their vision have serious post-laser vision problems (All About Vision, 2014). In a random sample of 100,000 LASIK patients, let x be the number who experience seri- ous post-laser vision problems. a. Find E(x). b. Find Var(x). c. Find the z-score for x = 950. d. Find the approximate probability that fewer than 950 patients in a sample of 100,000 will experience serious post-laser vision problems.
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- (b) Figure Q1(b) shows the data from the survey conducted among teenagers who drive a car on the rural road and their involvement with traffic accidents. Based on the information given: Provide your calculation of the total numbers of teenagers who drive a car on the road. i. ii. Based on your understanding what is the probability of teenagers getting involved in accidents during both day and night times? iii. Interpret the probability of teenagers who were not getting involved in accidents during day time.The genetic of a human is the source of a disese., but only if you have the gene type a. The relative frequency of people with carrying two copies of a is 0.0001(aa), but one copy is 0.0198(Aa). Those not having the a-gene = 0.9801(AA) Even though you are carrying a you may not get the disese. You can get the disese without a. the probability of aa = 0.6, Aa= 0.02 and AA= 0.01 What is the probability that a random person has the disese? Given you have the disese, whats the probabilty for having genes aa, Aa or AA?An educator is interested in determining if the medium used for online classes, whether a smartphone or laptop/desktop, influences the time (hrs) that Grade 12 students spend in these classes. A random sample of 10 students who were using smartphones and another random sample of 10 students who were using laptop/desktop were interviewed and reported the following times they spend in their daily online classes: Smartphone 0 30230 1 5 4 3 Medium for Online Class Laptop/Desktop 2 7 3 3 0 3 1 3 15 Suppose the assumption of equality of variance is satisfied. Perform an appropriate test of hypothesis to determine if the average time spent online significantly differs between the students using these two mediums. Use a 5% level of significance.
- The management of a supermarket wants to find if there is a relationship between the number of times a specific product is promoted on the intercom system in the store(x) and the number of units of that product sold (y). To experiment, the management selected a product and promoted it on the intercom system for 7 days, recording the number of times this product was promoted each day and the number of units sold. Summaries of a study conducted gave the following results: ∑x=177, ∑y= 144, SSxx=809.4286, SSyy=261.7143, SSxy= 407.8571 a) Calculate the correlation coefficient (r) relating number of times this product was promoted each day and the number of units sold. b) Find the regression line.The fingerprint of every finger can be classified into one of three basic patterns: a loop, a whorl, or an arch. Forensic experts have determined that about 65% of all fingers have loops, 30% have whorls, and 5% have arches. Suppose that these percentages are exactly correct and patterns are independent from one finger to the next. Select a person at random and classify each of their fingerprints on both hands. Let X = the number of fingerprints with a loop. (a) Calculate and interpret the mean of X. (b) Calculate and interpret the standard deviation of X.Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening program for the early detection of breast cancer wras started in order to increase the survival rate p of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were screened by the program and who vwere diagnosed to have the disease. Let x represent the number of those in the sample who survive the disease. A USE SALT (a) If you wish to determine whether the community screening program has been effective, state the alternative hypothesis that should be tested. O Hgip + O H;: p > O H: p= O Hgi p O Ho: P = O Hoi p * (c) If 194 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using a = 0.05. Find the test statistic and the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)…
- Dioxin Researchers have linked an increase in the inci-dence of breast cancer in Italy to dioxin released by an industrial accident in 1976. The study identified 981women who lived near the site of the accident and were under age 40 at the time. Fifteen of the women had devel-oped breast cancer at an unusually young average age of 45. Medical records showed that they had heightened con-centrations of dioxin in their blood and that each tenfold increase in dioxin level was associated with a doubling ofthe risk of breast cancer. (Science News, Aug. 3, 2002)Degrees of freedom between groups is 3; degrees of freedom within groups is 16; MS-within is 10.31; there are 4 conditions with 5 participants in each condition. What is the HSD valueA Pew poll taken in 2010 surveyed 830 people aged 18-29 and found that 166 of themhad one or more tattoos. Based on this survey, can you conclude that the percentageof people aged 18-29 who have a tattoo is less than 25%? Use the α = 0.01 level ofsignificance.
- A researcher collected health information from 30 randomly selected patients living with diabetes. Reported below are the fasting glucose levels (mg/dL) for 15 males and 15 females. You want to know if there is a difference in fasting glucose levels between males and females. Fasting Fasting Gender Glucose (mg/dL) Gender Glucose (mg/dL) Male 74 Female 88 Male 72 Female 112 Male 66 Female 114 Male 90 Female 97 Male 86 Female 121 Male 87 Female 109 Male 101 Female 72 Male 99 Female 75 Male 108 Female 97 40 Male 101 Female 73 Male 78 Female 71 Male 112 Female 64 Male 75 Female 98 Male 73 Female 101 Male 88 Female 81 Variance = 204.81 Variance = 327.84The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete Ho: Md = 0 Ha: Ha 0 = 0 Ho: Md < 0 Ha: Md P-value = X-ray 4.75 7.00 9.25 12.00 5 17.25 6 29.50 7 5.50 8 6.00 9 8.00 10 8.50 11 9.25 12 11.00 13 12.00 14 14.00 15 17.00 16 18.00 = 0 1 2 3 4 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = 0.534 0.000 X X State the conclusion in the problem context. We fail to reiect H.…The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete 0 Ho: Md = Ha: Md 0 < 0 5 6 7 8 9 10 11 12 13 14 15 16 X-ray 4.75 7.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 8.50 9.25 11.00 12.00 14.00 17.00 18.00 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 X Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = 0.000 Mx-ray ultrasound.)