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1) A NORMAL DISTRIBUTION HAS 4:47 AND 0=3 FIND THE PROBABILITY A RANDOM VARIABLE WITH THIS...
1. Let Xi l be a random sample from a normal distribution with mean μ 50 and variance σ2 16. Find P (49 < Xs <51) and P (49< X <51) 2. Let Y = X1 + X2 + 15 be the sun! of a random sample of size 15 from the population whose + probability density function is given by 0 otherwise 1. Let Xi l be a random sample from a normal distribution with mean μ 50 and...
The random sample shown below was selected from a normal distribution. 3, 10, 4, 6, 8, 5 a. Construct a 95% confidence interval for the population mean mu. (Round to two decimal places as needed.) b. Assume the sample mean x and sample standard deviation s remain exactly the same as those who just calculated but that are based on a sample of n=25 observations. repeat part a. what is the effect of increasing the sample size on the width...
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 2...
2. 22 random samples were selected from a population that has a normal distribution. The sample (1 point) has a mean of 99 and a standard deviation of 5 . Construct a 95% confidence interval for the population standard deviation 76 < σ < 141 3.What are the critical values 2? and 2 that correspond to a 99% confidence level and a (lpom) sample size of 30? 13.121, 52.336 13.787, 53.672 14.257, 49.588 19.768, 39.087
Question 2 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 60 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 3...
The random sample shown below was selected from a normal distribution: 9, 4, 3, 7, 10, 3 a.) construct a 90% confidence interval for the population mean ų (__,__)
4. Assume that x has a normal distribution with u = 2.8 and o = 0.33. Find Plx 22). A. 0.9922 B. 0.6485 C. 0.4523 D. 0.0078 Suppose x has a distribution with u = 54 and o = 4. If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? A. Yes, the x distribution is normal with mean Hz = 54 and 0 = 1. B. Yes, the...
A population of values has a normal distribution with u = a random sample of size n = 16. 229.4 and o = 67.4. You intend to draw Find the probability that a single randomly selected value is greater than 212.6. P(X > 212.6) = Find the probability that a sample of size n = 16 is randomly selected with a mean greater than 212.6. P(M> 212.6) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained...
A random variable follows the normal probability distribution with a mean of 80 and a standard deviation of 20. Determine the probability for a randomly selected value from this population in parts a through d below. a. is less than 90 b. is less than 65 c. is more than 110 d. is more than 40.
given that z is a standard normal random variable what is the probability that z ≥ -2.12? a. 0.966 b. 0.017 c.4830 0.9830 From a population of 200 elements, a sample of 49 elements is selected. It is determined that the sample mean is 56 and the sample standard deviation is 14. The standard error of the mean is a. 3 b. 2 c. greater than 2 d. less than 2