A simple random sample of size n = 36 is obtained from a population with u = 85 and o = 12. (a) Describe the sampling distribution of x. (b) What is P (x> 87.2) ? (c) What is P (xs 80.6) ? (d) What is P (83.5

You take a simple random sample of size 25 from a very large population in which the true proportioni p=0.1. Which statement below best describes what you know about the sampling distribution of p? (0.1)(0.9) (a) H,-0.1; o,- the distribution is skewed right. 25 (0.1)(0.9). 25 (b) H,=0.1; o,=. ; the distribution is skewed left. (0.1)(0.9). (c) ,=0.1; o,= the distribution is approximately Normal. %3D 25 (0.1)(0.9) (d) , the distribution is not approximately Normal. 25 =0.1; we cannot use the formula o, (0.1)(0.9) ; the distribution is approximately Normal. 25 (e) =0.1; we cannot use the formula o,

K A population has a mean μ = 134 and a standard deviation o = 26. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 59. σ- The mean is μ- =, and the standard deviation is o- = (Round to three decimal places as needed.) X Z-

The heights of fully grown trees of a specific species are normally distributed, with a mean of 54.5 feet and a standard deviation of 5.75 feet. Random samples of size 19 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution. The mean of the sampling distribution is u- %3D The standard error of the sampling distribution is o, = X. (Round to two decimal places as needed.) Choose the correct graph of the sampling distribution below. O A. В. OC. 2. 51.9 54.5 57.1 43.0 54.5 66.0

show work, thumbs up for correct answer

A polling organization polls n = 400 randomly selected registered voters to estimate the proportion of a large population that intends to vote for Candidate Y in an upcoming election. Although it is not known by the polling organization, p = 0.67 is the actual proportion of the population that prefers Candidate Y. (a) Give the numerical value of the mean of the sampling distribution of p̂.Mean = (b) Calculate the standard deviation, s.d., of the sampling distribution of p̂. (Round your answer to the nearest hundredth.)s.d. = (c) Use the Empirical Rule to find values that fill in the blanks in the following sentence. (Round all answers to the nearest hundredth.)In about 99.7% of all randomly selected samples of n = 400 from this population, the sample proportion preferring Candidate Y will be between and .

Question 2. A simple random sample of size n = 49 is obtained from a population with mean 80 and standard deviation 14. a. Describe the sampling distribution of x. b. What is P (x >83) c. What is P(x ≤ 75.8) d. What is P (78.3 < x < 85.1)

part d please

A random sample of size 10 yielded roughly "mound-shaped" data with a sample mean of 63.5 and a sample variance of 60.8. Let (L, OU) be the interval estimate that contains the population mean with 95% probability. Find the width of the interval. That is, find 0 – 0₁. 4.52 5.49 5.58 5.70 9.04 10.99 11.16 11.40 none of the other answers give the correct width