A population of values has a normal distribution with μ=26.8 and σ=33.8. You intend to draw a random sample of size n=89. A) Find the probability that a single randomly selected value is between 17.1 and 25. P(17.1 < X < 25) = _______ B) Find the probability that a sample of size n=89 is randomly selected with a mean between 17.1 and 25. P(17.1 < M < 25) = ________ Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Q: A sample of n=12 scores has a mean of M=45.  Find the z-score for this sample if it was obtained…

A: We have given that,  M from normal distribution with mean score M=45 and mean μ=40 and a standard…

Q: A population has a mean μ = 133 and a standard deviation = 30. Find the mean and standard deviation…

A: a population has ;mean(μ)=133standard deviation(σ)=30and sample size(n)=40

Q: Porosity measurements in several oil fields show a normal distribution with a mean of 5% and a…

A: From the given information, Consider, X porosity measurement in several oil field is normally…

Q: Let x be a random variable representing the length of a cutthroat trout in Pyramid lake. A friend…

A: Given information, μ=19n=13x¯=18.1s=3.3 df=n-1=13-1=12

Q: A population of values has a normal distribution with M=45.5 and O=80.3 You intend to draw a random…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: The life span of 100 W light bulbs manufactured by a company are tested. It is found that (2 %) of…

A: The mean and variance of a binomial distribution are np and npq. Here, It is given that mean equals…

Q: For a continuous ransom variable x, the population mean adn the population standard deviation are 30…

A: Sampling distribution of sample mean:

Q: K A study was done on proctored and nonproctored tests. The results are shown in the table. Assume…

A: The given values are: n1=31, x¯1=77.19, s1=11.09 n2=33, x¯2=87.66, s2=20.66

Q: Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a…

A: Given Information: Let x be a random variable representing dividend yield of bank stocks. We may…

Q: A population of values has a normal distribution with M=111.8 and O=72 You intend to draw a random…

A: The random variable follows normal distribution with population mean and population standard…

Q: A population of values has a normal distribution with µ = 213.2 and o = 67.3. You intend to draw a…

A: Consider, Population mean (µ) = 213.2 Population standard deviation (σ) = 67.3 Sample size (n) = 10

Q: A sampling distribution of the means of all possible samples of size 200 is formed. The population…

A:

Q: A sampling distribution of the means of all possible samples of size 200 is formed. The population…

A:

Q: = A population of values has a normal distribution with u to draw a random sample of size n = 179.…

A: Given: X ~ N(μ,σ) Where, μ = 245.3, and σ = 80.6. The sample size n=179.

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Here, µ=0°C, σ=1.00°C.

Q: Consider a normal population with µ = 75 and σ = 10. A sample of at least which size needs to be…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: A population of values has a normal distribution with u = 37.1 and o = 46.9. You intend to draw a…

A:

Q: A population of values has a normal distribution with μ=14 and σ=28. You intend to draw a random…

A: we have  given that  mu=14 ,sigma=28 and n=53 X~N( mu=14 ,sigma^2=28^2) Zscore = (x-mu)/sigma

Q: A population has a mean of  1398.25 and standard deviation of 246.85   10 A random sample of size…

A: Let X be the random variable from normal distribution with mean (μ) = 1398.25, standard deviation…

Q: Suppose that the weight of an newborn fawn is Uniformly distributed between 1.6 and 3.2 kg. Suppose…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Suppose the proportion of one-child families in which the child is a boy is 0.488. For a random…

A: From the provided information, The proportion of one-child families in which the child is a boy is…

Q: A population of values has a normal distribution with μ=226.7 and σ=59.8. If a random sample size of…

A: The probability that a single randomly selected value is greater than 192.5 is, Therefore, the…

Q: A population of values has a normal distribution with μ=231.2 and σ=90.5. You intend to draw a…

A: P248.7&lt;X&lt;252.9=P248.7-231.290.5&lt;X-μσ&lt;252.9-231.290.5…

Q: C. The probability that fawn will weigh exactly 3.1 kg is P(x = 3.1) =0 d. The probability that a…

A:

Q: Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a…

A:

Q: A random sample of n = 4 scores is obtained from a normal population with µ = 30 and σ = 8. What is…

A: Obtain the probability that the sample mean will be smaller than M= 22. The probability that the…

Q: Assume that hybridization experiments are conducted with peas having the property that for​…

A:

Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…

A: From the provided information, n1=22x1=0.55s1=0.63n2=22x2=0.41s2=1.41

Q: A population has a mean μ = 142 and a standard deviation o=25. Find the mean and standard deviation…

A:

Q: Column A 1. Population Mean Symbol 2. Population Variance formula 3. Standard Deviation of Ungrouped…

A: from the given data

Q: Consider a sample size of 15 from a normal distribution. Find a value of t such that  only 1% of all…

A: The sample size (n) is 15.

Q: A population of values has a normal distribution with μ=110.5�=110.5 and σ=68.9�=68.9. You intend to…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…

A: Given Information: IQ scores are normally distributed with a mean of μ=100 and a standard deviation…

Q: A population of values has a normal distribution with M=225.4 and O=38.7 You intend to draw a random…

A:

Q: Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a…

A: The provided data is, (a) The level of significance is 0.01. The null and alternative hypotheses…

Q: For a normal random variable x, the population mean and the population standard deviation are 54 and…

A: Given information- For a random variable x, Population mean, μ = 54 Population standard deviation, σ…

Q: A population of values has a normal distribution with μ=248.4μ=248.4 and σ=23.6σ=23.6. You intend to…

A: Let X be the value. Given X follows normal distribution with parameters µ = 248.4 and σ = 23.6. The…

Q: A population of values has a normal distribution with μ=153.9μ

A:

Q: obability of a boy =0.5. Finc obability of less than 2 boys- ormal approximate probabilit boys. DA.…

A: Given n=10 P=0.5

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.