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8 Question * 15 (2 points) Suppose that for a given population o = 4.8. We...
For a given population with o = 10.5 lb. we want to test the null hypothesis...
For a given population with o = 10.5 lb. we want to test the null hypothesis j = 66.5 against the alternative hypothesis u # 66.5 on the basis of a random sample of size n = 64. If the null hypothesis is rejected when x < 64.6 lb. or å > 68.8. a) (3 points) What is the probability of a type l error? b) (4 points) What is the probability of a type II error and the power...
For a given population with σ=10.5 lb. we want to test the null hypothesis μ=66.5 against...
For a given population with σ=10.5 lb. we want to test the null hypothesis μ=66.5 against the alternative hypothesis μ ≠66.5 on the basis of a random sample of size n=64. If the null hypothesis is rejected when x¯<64.6 lb. or x¯>68.8. a) (3 points) What is the probability of a type I error? b) (4 points) What is the probability of a type II error and the power of the test when in reality μ=67.0?
Using a random sample of 28 observations from a normally distributed population, Mike tested the null...
Using a random sample of 28 observations from a normally distributed population, Mike tested the null hypothesis of the population mean that Ho: p=30 against Hy: #30 at a significance level of 0.05 and rejected the null hypothesis. This means that: A. If the null hypothesis is really true, then the probability that Mike rejects it is 0.05. B. Mike needs a larger sample size. OC. If Mike uses another sample of 28 observations he will reject Ho again. OD....
1. It is desired to test the null hypothesis u = 40 against the alternative hypothesis...
1. It is desired to test the null hypothesis u = 40 against the alternative hypothesis u < 40 on the basis of a random sample from a population with standard deviation 4. If the probability of a Type I error is to be 0.04 and the probability of Type II error is to be 0.09 for u = 38, find the required size of the sample.
Multiple Choice Question An engineer measures the weights (in kilograms) of steel pieces. They would like...
Multiple Choice Question An engineer measures the weights (in kilograms) of steel pieces. They would like to test Ho : u = 5 against H1: u > 5. The weights follow a normal distribution with variance 16. Using a sample of size n = 25, the engineer decides to reject H, if 7 > 6. Assuming that the true population mean is 5.2, determine the probability of committing an error of Type II error. A. 0.8413 B. 0.05 C. 0.9332...
Suppose the null hypothesis is Ho : µ = 500 against Ha : > µ =...
Suppose the null hypothesis is Ho : µ = 500 against Ha : > µ = 500 , and the significance level for this testing is 0.05. The population in question is normally distributed with standard deviation 100. A random sample of size n=25 will be used. If the true alternative mean is 550, then the probability of committing the type II error is ____.
Question 21 (4 points) For a hypothesis test about a population proportion or mean, if the...
Question 21 (4 points) For a hypothesis test about a population proportion or mean, if the level of significance is less than the p- value, the null hypothesis is rejected. (Ch10) True False Question 22 (4 points) Everything else being constant, increasing the sample size decreases the probability of committing a Type II error. (Ch10) True False The power of a statistical test is the probability of not rejecting the null hypothesis when it is true. (Ch10) True False Question...
gore the lecture in your streann r 10 minutes. Random variable X follows Poisson umber of...
gore the lecture in your streann r 10 minutes. Random variable X follows Poisson umber of calls torecepti,:2-A, against alternative H: λ > , the following Let X' is a of against a distribution with mean A. To test null hypothesis Ho decision rule is used: Null hypothesis is rejected if x, +x,+х,2c.(X,X,X,is a Let 4, 0.2 and c 2 (a) Find the significance level of the test. (b) Find the probability of type II error if the alternative is...
Assignment 2 Consider weights of all NBA players. Assume that we want to test the hypothesis...
Assignment 2 Consider weights of all NBA players. Assume that we want to test the hypothesis that the average weight of the population of all players is 225 lbs, against the alternative hypothesis that the average weight is less that 225 lbs. Assume also that the population standard deviation of player weights is 26 lbs. Let the probability of making a type I error (a) be 0.05. What size random sample would be necessary if we want the probability of...
(1 point) A statistical investigation is conducted to see if the mean of a population of...
(1 point) A statistical investigation is conducted to see if the mean of a population of values is equal to 367, or Ho :,-367 HA : #367. A random sample of n = 136 values is taken from this population of values, producing a test statistic of Teale-一0.643 and a P-value of 0.5215. Choose the correct interpretation of the P-value. OA. If the null hypothesis is true, the chance of another sample producing stronger evidence against the null hypothesis is...
For a given population with o = 10.5 lb. we want to test the null hypothesis j = 66.5 against the alternative hypothesis u # 66.5 on the basis of a random sample of size n = 64. If the null hypothesis is rejected when x < 64.6 lb. or å > 68.8. a) (3 points) What is the probability of a type l error? b) (4 points) What is the probability of a type II error and the power...
Using a random sample of 28 observations from a normally distributed population, Mike tested the null hypothesis of the population mean that Ho: p=30 against Hy: #30 at a significance level of 0.05 and rejected the null hypothesis. This means that: A. If the null hypothesis is really true, then the probability that Mike rejects it is 0.05. B. Mike needs a larger sample size. OC. If Mike uses another sample of 28 observations he will reject Ho again. OD....
1. It is desired to test the null hypothesis u = 40 against the alternative hypothesis u < 40 on the basis of a random sample from a population with standard deviation 4. If the probability of a Type I error is to be 0.04 and the probability of Type II error is to be 0.09 for u = 38, find the required size of the sample.
Multiple Choice Question An engineer measures the weights (in kilograms) of steel pieces. They would like to test Ho : u = 5 against H1: u > 5. The weights follow a normal distribution with variance 16. Using a sample of size n = 25, the engineer decides to reject H, if 7 > 6. Assuming that the true population mean is 5.2, determine the probability of committing an error of Type II error. A. 0.8413 B. 0.05 C. 0.9332...
Question 21 (4 points) For a hypothesis test about a population proportion or mean, if the level of significance is less than the p- value, the null hypothesis is rejected. (Ch10) True False Question 22 (4 points) Everything else being constant, increasing the sample size decreases the probability of committing a Type II error. (Ch10) True False The power of a statistical test is the probability of not rejecting the null hypothesis when it is true. (Ch10) True False Question...
gore the lecture in your streann r 10 minutes. Random variable X follows Poisson umber of calls torecepti,:2-A, against alternative H: λ > , the following Let X' is a of against a distribution with mean A. To test null hypothesis Ho decision rule is used: Null hypothesis is rejected if x, +x,+х,2c.(X,X,X,is a Let 4, 0.2 and c 2 (a) Find the significance level of the test. (b) Find the probability of type II error if the alternative is...
Assignment 2 Consider weights of all NBA players. Assume that we want to test the hypothesis that the average weight of the population of all players is 225 lbs, against the alternative hypothesis that the average weight is less that 225 lbs. Assume also that the population standard deviation of player weights is 26 lbs. Let the probability of making a type I error (a) be 0.05. What size random sample would be necessary if we want the probability of...
(1 point) A statistical investigation is conducted to see if the mean of a population of values is equal to 367, or Ho :,-367 HA : #367. A random sample of n = 136 values is taken from this population of values, producing a test statistic of Teale-一0.643 and a P-value of 0.5215. Choose the correct interpretation of the P-value. OA. If the null hypothesis is true, the chance of another sample producing stronger evidence against the null hypothesis is...
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