Suppose you are given a population of size 500 with a mean of 85 and a standard deviation of 14. If you take a simple random sample of size 40, what is the probability that the sample mean will be smaller than 87? (to 4 decimals)
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Suppose you are given a population of size 500 with a mean of 85
and a...
Suppose you are given a population of size 500 with a mean of 60 and a...
Suppose you are given a population of size 500 with a mean of 60 and a standard deviation of 19. If you take a simple random sample of size 55, what is the probability that the sample mean will be smaller than 62? (to 4 decimals) P(x̄ < ) = P(z < ) = (Hint: Don't forget to check the value of n/N.)
4.18 A random sample of size 25 is selected from a population with mean μ =...
4.18 A random sample of size 25 is selected from a population with mean μ = 85 and standard deviation σ-4. Approximate the following probabilities using the central limit theorem (a) PrX 86, 6451 (b) PrX < 84.340] (c) Pr(83.04 〈 X < 86.96]
= 20 versus H,: <20. A sample of size n=52 is drawn, and x = 18....
= 20 versus H,: <20. A sample of size n=52 is drawn, and x = 18. The population standard deviation A test is made of H: is o=6 (a) Compute the value of the test statistic Z. (b) is Ho rejected at the a=0.05 level? (c) Is H, rejected at the a=0.01 level?
A population has a mean μ-85 and a standard deviation σ-21. Find the mean and standard...
A population has a mean μ-85 and a standard deviation σ-21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n 49 H(Simplity your answer) o-# L] (Simplify your answer.) to the random variable x is normally distributed with mean-83 and standard deviation ơ-4 Find the indicated probability P(70sx 76) P(70 < x < 76)= Round to four decimal places as needed.) Enter your answer in the answer box
Suppose that Xi are IID normal random variables with mean 2 and variance 1, for i...
Suppose that Xi are IID normal random variables with mean 2 and variance 1, for i = 1, 2, ..., n. (a) Calculate P(X1 < 2.6), i.e., the probability that the first value collected is less than 2.6. (b) Suppose we collect a sample of size 2, X1 and X2. What is the probability that their sample mean is greater than 3? (c) Again, suppose we collect two samples (n=2), X1 and X2. What is the probability that their sum...
7. Suppose that the width of pebbles in a river is normally distributed with mean of...
7. Suppose that the width of pebbles in a river is normally distributed with mean of 12.1 mm and standard deviation of 3.2 mm. a. What is the probability that X is smaller than 11? b. A random sample of 12 pebbles is taken. What is the probability that X-bar < 11?
Ha:μ<85 A sample of 140 is used and the population standard deviation is 10, Compute the...
Ha:μ<85 A sample of 140 is used and the population standard deviation is 10, Compute the p-value and state your conclusion for each of the following sample results. Use a-0.01 Round z value to two decimal places and p-value to four decimal places. If your answer is zero, enter "O". Enter negative value as negative number a. 82.5 z value p-value conclusion reject b.82 Ho z value p-value conclusion reject Ho C.80 z value p-value conclusion reject d. 86.5 Ho...
H.W. #5 - Q #8: 8. Suppose that n-48 seeds are planted and suppose that each...
H.W. #5 - Q #8:
8. Suppose that n-48 seeds are planted and suppose that each seed has a probability p 75% of germinating. Let X be the number of seeds that germinate and use the Central Limit Theorem to estimate the probability P(35 < X < 40) that between 35 and 40 seeds germinate. Don't forget to use a continuity correction.
DAS 119 c) 121 < X < 123 12) A sample of size n-50 is selected...
DAS 119 c) 121 < X < 123 12) A sample of size n-50 is selected randomly from the population in problem 11, and the sample mean Xis calculated. Find the probability that a) <119 b) 121 <x< 123
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5 < u...
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5 < u < 13.1 with a 95% level of confidence when o is known. (1) Find the point estimates for the unknown population mean. (ii) Find the margin of error. (iii) Give the interpretation of the confidence interval. (iv) Name two ways of decreasing the width of the confidence interval. b) State the assumptions necessary for linear regression model Y = A + Bx + E...
4.18 A random sample of size 25 is selected from a population with mean μ = 85 and standard deviation σ-4. Approximate the following probabilities using the central limit theorem (a) PrX 86, 6451 (b) PrX < 84.340] (c) Pr(83.04 〈 X < 86.96]
= 20 versus H,: <20. A sample of size n=52 is drawn, and x = 18. The population standard deviation A test is made of H: is o=6 (a) Compute the value of the test statistic Z. (b) is Ho rejected at the a=0.05 level? (c) Is H, rejected at the a=0.01 level?
A population has a mean μ-85 and a standard deviation σ-21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n 49 H(Simplity your answer) o-# L] (Simplify your answer.) to the random variable x is normally distributed with mean-83 and standard deviation ơ-4 Find the indicated probability P(70sx 76) P(70 < x < 76)= Round to four decimal places as needed.) Enter your answer in the answer box
Suppose that Xi are IID normal random variables with mean 2 and variance 1, for i = 1, 2, ..., n. (a) Calculate P(X1 < 2.6), i.e., the probability that the first value collected is less than 2.6. (b) Suppose we collect a sample of size 2, X1 and X2. What is the probability that their sample mean is greater than 3? (c) Again, suppose we collect two samples (n=2), X1 and X2. What is the probability that their sum...
7. Suppose that the width of pebbles in a river is normally distributed with mean of 12.1 mm and standard deviation of 3.2 mm. a. What is the probability that X is smaller than 11? b. A random sample of 12 pebbles is taken. What is the probability that X-bar < 11?
Ha:μ<85 A sample of 140 is used and the population standard deviation is 10, Compute the p-value and state your conclusion for each of the following sample results. Use a-0.01 Round z value to two decimal places and p-value to four decimal places. If your answer is zero, enter "O". Enter negative value as negative number a. 82.5 z value p-value conclusion reject b.82 Ho z value p-value conclusion reject Ho C.80 z value p-value conclusion reject d. 86.5 Ho...
H.W. #5 - Q #8:
8. Suppose that n-48 seeds are planted and suppose that each seed has a probability p 75% of germinating. Let X be the number of seeds that germinate and use the Central Limit Theorem to estimate the probability P(35 < X < 40) that between 35 and 40 seeds germinate. Don't forget to use a continuity correction.
DAS 119 c) 121 < X < 123 12) A sample of size n-50 is selected randomly from the population in problem 11, and the sample mean Xis calculated. Find the probability that a) <119 b) 121 <x< 123
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5 < u < 13.1 with a 95% level of confidence when o is known. (1) Find the point estimates for the unknown population mean. (ii) Find the margin of error. (iii) Give the interpretation of the confidence interval. (iv) Name two ways of decreasing the width of the confidence interval. b) State the assumptions necessary for linear regression model Y = A + Bx + E...
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