-. List the elements of each of the following sample spaces: -) the set of nte Pls Solve this ahd 50 divişible by 8 b) the set S = {x | x 2 + 4x - 5 = 0} c) the set of outcomes when a com s tossed uil or three heads appear part. d) the set S = {x | a; is a continent} e) the set. S = {x |2x - 4 > 0 and X < 1}
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- A research center claims that 28% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 30% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d belowAn interval within which we expect 95% of all xx's to fall can be defined for any population by applying the ?
- 3. The Central Limit Theorem states that the mean of the sampling distribution of the sample mean is A. larger than the population mean. B. exactly equal to the population mean. C. equal to the population mean divided by the square root of the sample size. D. close to the population means if the sample size is large.An urn contains p black balls, q white balls, and r red balls; and n balls are chosen withoutreplacement.a) Find the joint pmf of the numbers of black, white, and red balls in the sample. b) Find the joint pmf of the number of black and white balls in the sample. c) Find the marginal pmf of the number of white balls in the sample.A sample of n=10observations is drawn from a normal population with μ=900 and σ=220. Find each of the following: A. P(X¯>1039) B. P(X¯<788) C. P(X¯>844)
- Find the minimum sample size n needed to estimate muμ for the given values of c, sigmaσ, and E. cequals=0.90 sigmaσequals=9.1 and Eequals=11 Assume that a preliminary sample has at least 30 members. N= (Round up to the nearest whole number.)Find the minimum sample size n needed to estimate muμ for the given values of c, sigmaσ, and E. cequals=0.90sigmaσequals=7.3 and Eequals=2Assume that a preliminary sample has at least 30 members. n=? (Round up to the nearest whole number.)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 a) Consider a random sample of n=9 people who donated blood over the past three months. The expected number of people with blood type O+ is and the expected number of people with blood type A- is Calculate the following probabilities: P(X=5)= __________ Round your answer to 4 decimal places. P(X>2)= __________ Round your answer to 4 decimal places. b) Consider a random sample of n=40 people who donated blood over the past three months. Use the relevant probability function of Y to calculate the probability that 2 people in the random sample will have type A- blood. ________…
- A marketing research group found that 25% of the 200 shoppers, it recently interviewed at a certain shopping center, resided more than 12 miles from the center. Assume that a random sample was taken, construct a 95% C.I. for the actual; percentage of shoppers who live more than 15 miles from that center.A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 29% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. "Recall that the claim is the percentage of adults in the country would travel into space on a commercial flight if they could afford it. Let a success be an adult in the country who would travel into space on a commercial flight if they could afford it. Translate the claim made about the population parameter from a verbal statement to a mathematical statement." (b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.An education researcher claims that at most 6% of working college students are employed as teachers or teaching assistants. In a random sample of 200 working college students, 8% are employed as teachers or teaching assistants. At α=0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below.