A sample of n = 11 U.S. males, age 18-24 years, are measured for height and weight. Let x denote the height in inches, and let y denote the weight in pounds. The summary data are Σο-761, Συ-1761 , Σα 52729, Σν-286273, Συ-122234 From these we calculate Sææ 81.636, Syy = 4352.9, Sry = 394.8 (Use these values in this and the following questions.) Find the regression line y = bo + b1 x. (Note: normally we would put a circumflex over the y: that is, "y-hat," but that notation is not
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- The following table shows some data from a study on substance use among 10th graders in the United States and Europe. Smoked Cigarettes Cigarette-Free Totals U.S. x y 12,000 Europe z w 98,000 Total 69,210 110,000 Given that 37,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data. (x, y, z, w) =An agricultural scientist tests six types of fertilizer, labeled A, B, C, D, E, and F, to determine whether any of them produces an increase in the yield of lima beans over that obtained with the current fertilizer. For fertilizer C, the increase in yield is statistically significant at the 0.05 level. For the other five, the increase is not statistically significant. The scientist concludes that the yield obtained with fertilizer C is greater than that of the current fertilizer. Explain why this conclusion is not justified.At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B Consider a random sample of n=9 people who donated blood over the past three months. a) The expected number of people with blood type O+ is _____and the expected number of people with blood type A- is ______Round your answers to 2 decimal places. b) Calculate the following probabilities: P(X=5)=_________ Round your answer to 4 decimal places. P(X>2)=_________ Round your answer to 4 decimal places.
- The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76.*8.7 Suppose an equal number of 12- to 14-year-old girlsbelow and above the poverty level are recruited to studydifferences in calcium intake. How many girls should berecruited to have an 80% chance of detecting a significantdifference using a two-sided test with α = .05?A sample of 100 college students is selected from all students registered at a certain college, and it turns out that 38 of them participate in intramural sports. True or false: a) The proportion of students at this college who participate in intramural sports is 0.38. b) The proportion of students at this college who participate in intramural sports is likely to be close to 0.38, but not equal to 0.38.Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?
- From historical data at a local restaurant indicate that 60% of customers order coffee, 15% order soft drinks, and the remaining order water. The owner of the restaurant is planning on opening a new restaurant for the purpose of stocking enough of various drinks, wants to know if the proportions are the same for his new restaurant as they were for his original restaurant. In a sample of 1000 customers at the new restaurant, 550 ordered coffee, 190 order soft drinks, and the remaining simply wanted water. At the 5% level of significance, does it appear the proportions have changed?Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?In a clinical study, a random sample of 540 participants agree to have their blood drawn, which is to be examined for the presence of antibodies against a certain contagious disease. It is found in 22% of the blood samples, which experimenters hope to extrapolate to the general population. From this random sample, 10 participants' blood samples are selected at random. If X is the number of samples out of the 10 who have these antibodies, what can we say about X? A. The sample size is not large enough for us to approximate X using a normal distribution B.The expected value of X is 22 C. X can be approximated using a normal distribution in lieu of a binomial distribution D. X has a sampling distribution that is normal