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- We wish to demonstrate that the average time to graduate from college is affected by the students having taken AP calculus in high school. Specifically we wish to demonstrate that students who have taken AP calculus in high school gradate an average of at most 0.25 years sooner than students who have not taken AP calculus in high school. If we let μ1 demote the average time to graduate for students who have not taken AP calculus and μ2 denote the average time to graduate for students who have taken AP calculus, then select the appropriate alternative hypothesis: a. μ1-μ2 = 0 b. μ1-μ2-0.25 < 0 c. μ1-μ2-0.25>0 Please explainThe 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?Suppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?
- The process for cleaning up waste in a nuclear reactor core room eliminates 85% of the waste present in the area. If there is 1.7 kg of waste in the room at the beginning of the monitoring period and 2 kg of additionalwaste are generated each week, determine a recurrence relation and initial conditions describing the amount wn, of waste in the core room at the end of week n of the monitoring period.We wish to demonstrate that the average time to graduate from Tulane is affected by the students having taken AP calculus in high school. Specially, we wish to demonstrate that students who have taken AP calculus in high school graduate an average of more than 0.25 years sooner than students who have not taken AP calculus in high school. If we let denote the average time to graduate for students who have not taken AP calculus and denotes the average time to graduate for students who have taken AP calculus, then select the appropriate alternative hypothesis.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.
- A researcher wants to find the effect of a special diet on systolic blood pressure. A sample of 7 adults was selected to start them on this diet for 3 months. Based on this information, can it be stated that systolic blood pressure changes with the special diet? Based on the findings of the test carried out, it is possible to conclude that...... A. systolic blood pressure does not change with special diet B. systolic blood pressure changes with special diet C. systolic blood pressure is lower with the special diet D. systolic blood pressure is higher with the special diet E. It is not possible to conclude anything regarding systolic blood pressure with the special dietSuppose that the lifespan of a piece of equipment is normally distributed with mean 10 years and standarddeviation of 3 years. A particular piece of equipment’s current age is 11 years. The firm is consideringtwo options; i) replace it now, ii) wait until age 13 to replace it (unless it dies before then, in which casean unscheduled replacement is necessary).Suppose that immediate replacement will cost the company a TL. Replacement at age 13 (if the equipment lasts that long) will cost b TL, where b < a. An unscheduled replacement between now and age 13(that is, if the equipment dies suddenly during the next two years) will cost c TL, where c > a.• What is the probability that, barring replacement now, the equipment will last until age 13? What is the expected cost of replacement if the equipment is not replaced now?• Under what condition a, b and c, is expected cost lower if equipment is replaced now, rather thanunder the age 13 policy?Suppose insurance agency services customers who have both a homeowner’s policy and an automobile policy. For each type of policy, a deductible amount must be specified. For an automobile policy, the choices are TZS100 and TZS250, whereas for a homeowner’s policy, the choices are 0, TZS100, and TZS200. Suppose also that an individual is selected at random from the agency’s files. Let X = his deductible amount on the auto policy and Y = his deductible amount on the homeowner’s policy (a) What are the possible (X, Y) pairs? (b) Suppose the joint probability mass function is given by the insurance company in the accompanying joint probability in the following Table Table: Discrete Joint Probability Distribution for X and Y P(x,y) 0 100 200 X 100 0.2 0.10 0.2 250 0.05 0.15 0.3 What is p (100, 100) What is P (Y greater than 100)?
- Suppose the incidence rate of myocardial infarction (MI)was 5 per 1000 among 45- to 54-year-old men in 2000.To look at changes in incidence over time, 5000 men in thisage group were followed for 1 year starting in 2010. Fifteennew cases of MI were found. Suppose that 25% of patients with MI in 2000 died within24 hours. This proportion is called the 24-hour case-fatalityrate. >Suppose we eventually plan to accumulate 50 MIcases during the period 2010–2015. Assume that the24-hour case-fatality rate is truly 20% during this period.How much power would such a study have in distinguishingbetween case-fatality rates in 2000 and 2010–2015 if atwo-sided test with significance level .05 is planned?1. A snail is at the foot of a flight of ten steps. Everyday it will climb up three steps and climb back down two steps. After how many days when will it reach the top? 2. A time-study analyst observed a packaging operation and collected the following times (in second) required for the operation to fill package of a fixed volume box: 11, 18, 13, 18, 16, 14, 12. Solve for the average. 3. The easiest to obtain yet not necessarily a representative of the data?According to one survey taken a few years ago, 32% of American households have attempted to reduce their long-distance phone bills by switching long-distance companies. Suppose that business researchers want to test to determine if this figure is still accurate today by taking a new survey of 85 American households who have tried to reduce their long-distance bills. Suppose further that of these 85 households, 25% say they have tried to reduce their bills by switching long-distance companies. Is this result enough evidence to state that a significantly different proportion of American households are trying to reduce long-distance bills by switching companies? Let α = .01. Appendix A Statistical Tables (Round your answer to 2 decimal places.) The value of the test statistic is enter the value of the test statistic and we choose between reject and fail to reject the null hypothesis