Use the binomial distributaccuracy of the normal approximatbinomial distribution. n=20, pi=5a. Compute the exact probabilities and corresponding normal approximations for y < 5.b. The normal approximation can be improved slightly by taking P(y ≤ 4.5). Why should this help? Compare your results.c. Compute the exact probabilities and corresponding normal approximation with the continuity correction for P(8 < y < 14).

Assume that we have two normal distributions both with means 0 and standard deviations σ1 and σ2. If σ1 ≥ σ2, then which of P (0 ≤ x ≤ σ1) and P (0 ≤ x ≤ σ2) is bigger? Explain your answer.

Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 120 pounds and a standard deviation of 39.9 pounds. Random samples of size 18 are drawn from this population and the mean of each sample is determined. H = o: = (Round to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct graph below. OA. O B. Oc. OD. -110.6 9.4 129.4 101.2 120 138.8 -350.6 9.4 369.4 91.8 120 148.2 Click to select your answer(s). P Type here to search 11:24 AM 2/1/2021 Home End

Use the Suppose in a local Kindergarten through 12th grade (K -12) school district, 42% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. nd the mean and the standard deviation of X of B(144, 0.42). Round off to 4 decimal places. b. Now approximate X of B(144, 0.42) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y N( C Find the probability that at most 72 favor a charter school using the normal approximation and the table. Round off to z-values up to 2 decimal places.) P(X 68) P(Y > ~ (Z >) e. Find the probability that exactly 63 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 63) P(

A gardener buys a package of seeds. Seventy-five percent of seeds of this type germinate. The gardener plants 90 seeds.  Find the probability that 60 or fewer of the seeds germinate.  Use the normal approximation to the binomial with a correction for continuity.  Use Table A.2 (Normal Distribution Table) and keep four decimal places with your answer.  Intermediate calculations should be carried to a minimum of four decimal places.

None

Suppose x has a distribution with a mean of 65 and a standard deviation of 36. Random sample size n= 81 are drawn. Describe the x distribution and compute the mean and standard deviation of the distribution. Find the z value corresponding to x=77. Find p(x<77). Would it be unusual for a random sample of size 81 from the x distribution to have a sample mean less than 77

Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 117 pounds and a standard deviation of 39.8 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined. = μx ox (Round to three decimal places as needed.) = Sketch a graph of the sampling distribution. Choose the correct graph below. A. B. O C. O D. A A A -108.1 8.9 125.9 90.3 117 143.7 -342.1 8.9 359.9 99.2 117 134.8

Q2. The sampling distribution of means tends toward Normality only when the underlying populations is Normal. This is true of Central Limit Theorem. TrueB. FalseC. None of the above

Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean ? = 3.4 and standard deviation ? = 0.5.    Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.)____ < zConvert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.)z < ____ Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.)____ < z < ___Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.)x < ____    Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.)____ < xConvert the z interval, −2.25 < z < −1.00, to an x interval. (Round your answers to one decimal place.)____ < x < ___If a female had an RBC count of 5.9 or higher, would that be considered unusually high? Explain using z values.…