Let y be a random variable. In a population, μy = 150 and 55. Use the central limit theorem to answer the following questions. (Note: any intermediate results should be rounded to four decimal places) In a random sample of size n = 93, find Pr (Y <152). Pr (Y <152) = (Round your response to four decimal places)

Q: Given that Y1, Y2, Y3, ..., Yn is a random sample from a gamma distribution with parameters alfa =…

A: Given that Y1, Y2,…Yn is a random sample from a two parameter gamma distribution with parameters α=3…

Q: For the population whose distribution is U(4,16), random sample of size n 31 are repeatedly taken.…

A: Solution: Let X~U(a=4,b=16) The mean of X is  Mean =μ=a+b2Mean =μ=4+162Mean =μ=202=10Mean =μ=10 The…

Q: ) Compute a 90% confidence interval for ?1 – ?2. (Use 2 decimal places.)   Lower Limit   Upper…

A: Let  and  be the two population mean time intervals for Old Faithful eruptions for the years 1948 to…

Q: 7. Let random variable X = # of sixes on two independent rolls of a die. Fill in the chart below…

A: Part 7: The number of sixes on two independent rolls of die are 0, 1 and 2. Thus, X takes value 0, 1…

Q: You receive a brochure from a large university. The brochure indicates that the mean class size for​…

A: Claim : The brochure indicates that the mean class size for​ full-time faculty is fewer than 32…

Q: Suppose that you live in a far-away country with only ten citizens (including you). Each citizen has…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: 3. Let x be a random variable representing the concentration of chemical Z in human blood. Over a…

A:

Q: A random sample of size1,000 is taken from a population where P= 0.20. Find P(P>0.175)

A:

Q: 3. Let Y₁,...,Y be a random sample of size 5 from a normal population with mean 0 and v n 15 ΣY. Let…

A:

Q: Let X be a chi-squared random variable with 29 degrees of freedom. Find the following: A.…

A: Given that X follows a Chi square distribution with 29 degrees of freedom, X∼χ252;We have to find…

Q: Show that fx(x) = nfx, + ... + xn(nx) holds even if the MGF of X does

A: are i.i.d distributed random variables(rv) with pdf and  denote the sample mean.It is required to…

Q: The random variables X₁, X₂ have the same distribution as shown follows Xi P 0 1/2 1 1/4 2 1/4 Where…

A: Here, we are given that the random variable X1, X2 have the same distribution…

Q: a sample is selected from a normal population with µ=40 and σ=12. if the sample mean of M=36…

A: A sample is selected from a normal population. Mean , µ=40 Standard deviation, σ=12.  Sample mean ,…

Q: A sample of n=24 is selected from a population = 120 and σ = 40.  If the sample mean is 130, what is…

A: It is given that the population mean, μ=120 and standard deviation, σ=40. For the sample size of 24,…

Q: For the population whose distribution is E random sample of size n = 36 are repeatedly taken. Find…

A:

Q: IQ scores are normally distributed with μ=100 and σ=15. A simple random sample of n=30 students is…

A: Given P(x&gt;110)≈ .0001 which means Only about 1 out of 1,000 samples will have a mean IQ larger…

Q: You receive a brochure from a large university. The brochure indicates that the mean class size for…

A: 34,30,27,30,31,37,24,22,31,25,29,34,33,32,28,32,26,28sample size(n)=18

Q: The following statement about the sample correlation coefficient is true: OA. Txy= 2 2 OB. x<1. C. р…

A: The coefficient of correlation refers to the value that provide information about whether two…

Q: For a normally distributed population with μ = 90 and o=40, find P(x ≥200). a. 0.003 O a. O b.…

A: Answer  Mean = 90 Standard deviation =40 Use the normal distribution, N~[90,40].

Q: You receive a brochure from a large university. The brochure indicates that the mean class size for​…

A: We have given that  Sample size n =18 Population mean =33 Level of significance α=0.10

Q: A sample from a normal population with u=50 and o =6 has a mean of M =48.20.If the sample mean…

A: Given,mean(μ)=50standard deviation(σ)=6sample mean(M)=48.20z-score =-1.50

Q: The PMF of X is given by 80 100 120 p(x) .2 .3 .5 Let X1, X2 be a random sample from this…

A:

Q: You receive a brochure from a large university. The brochure indicates that the mean class size for​…

A:

Q: Sample of n = 9 individuals is selected from a population with p = 60 and o = 6, and a treatment is…

A: Given that, Sample size n=9 Population mean μ=60 Population standard deviation σ=6 Sample mean M=63

Q: For a normally distributed population with μ = 82 and o =40, find P(x ≥185). O a. 0.0049 O b. 2.58 O…

A: The mean is 82 and the standard deviation is 40.