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Workers at a large toxic cleanup project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult. Then pi = T500 and cr 8 1?50.T A random sample ofn = 50 workers from the toxic cleanup site were given a blood test that showed 4; = 6860. what is the probability that, for healthy adults, x will be this low or lower? I0 USE SALT (a) How does the central limit theorem apply? Explain. @1 The central limit theorem describes the distribution of; as normal with mean .u E = ?500 and a E a: 24?.49. 0 The central limit theorem describes the distribution of; as normal with mean p E = 7'500 and 0' g g 35.00. D The central limit theorem does not apply because the sample size is too small. 0 The central limit theorem describes the distribution of; as normal with mean p E = 7'500 and 0'; w 1750.00. (b) Compute axiLLRQupd your answer to four decimal places.) Pt; 5 seem slax : Entera number. {c} Based on your answer to part {b}, would you recommend that additional facts be obtained, or would you recommend that the workers' concerns be dismissed? Explain. Ci} Yes, it would be reasonable to gather additional facts. The probability that the 50 workers' average white blood cell count is 6860 or lower, if they were healthy adults, is extremely low. Yes, it would be reasonable to gather additional facts. The probability that the 50 workers' average white blood cell count is 6860 or lower, if they were healthy adults, is extremely large. No, it would not be necessary to gather additional facts. The probability that the 50 workers' average white blood cell count is 6860 or lower, if they were healthy adults, is extremely low. No, it would not be necessary to gather additional facts. The probability that the 50 workers' average white blood cell count is 6860 or lower, if they were healthy adults, is extremely large. 1/ Do you have a great deal of condence in the advice given to you by your medical doctor? About 35% of all adult Americans claim they do have a great deal of condence in their M.D.s. Suppose a random sample ofn = 3? adults in a health insurance program are asked about their confidence in the medical advice their doctors give. {a} Is the normal approximation to the proportion f} = rfn valid?(Round your answers to two decimal places.) It J possible to use the normal approximation =to.the.b.i.|'.1.o.t'ni.a.l..d.i._stribution because n-P=x .wmcms-x awe-ix ,w...h..-, s. Erutera number. (b) Find the values of In}; and 0:3. (Round your answer for Up. to three decimal places.) :1. = (IF? = 0.033 x Although older Americans are most afraid of crime, it is young people who are more likely to be the actual victims of crime. It seems that older people are more cautious about the people with whom they associate. A national survey showed that 10% of all people ages 16-19 have been victims of crime. T At a high school, a random sample of n = 65 students (ages 16-19) showed that r = 10 had been victims of a crime. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. LA USE SALT (a) Do these data indicate that the population proportion of students in this school (ages 16-19) who have been victims of a crime is different (either way) from the national rate for this age group? Use a = 0.05. Do you think the conditions np > 5 and nq > 5 are satisfied in this setting? Why is this important? (i) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 0.10; H1: M > 0.10 O Ho: p = 0.10; Hj: p = 0.10 O Ho: p = 0.10; H1: p 0.10 (ii) What sampling distribution will you use? What assumptions are you making? O The Student's t, since np > 5 and nq > 5. O The Student's t, since np 5 and nq > 5. The standard normal, since np 0.500 O 0.250 2.0 OH: M = 2.0; H1: 1 = 2.0 O Ho: p = 2.0; H1: p > 2.0 O Ho: p = 2.0; H1: p 0.500 O 0.250 0.250 O 0.125
