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If we have n -80 and p 0.1, is the sample size large enough so that...
Consider taking samples of size 100 from a population with proportion 0.33. Is the sample size...
Consider taking samples of size 100 from a population with proportion 0.33. Is the sample size large enough for the Central Limit Theorem to apply so that the sample proportions follow a normal distribution? a) Yes, np and n(1-p) both >=10. b) No, np and n(1-p) both >=10. c) Yes, np and n(1-p) both >=100. d) No, 100 is never large enough.
Consider taking random samples of size 50 from Population A with proportion 0.45 and random samples...
Consider taking random samples of size 50 from Population A with proportion 0.45 and random samples of size 40 from Population B with proportion 0.38. Use the provided formula sheet to calculate the standard error of the distribution of differences in sample proportions, Pr - PB Standard error (Select) Are the sample sizes for both groups large enough for the Central Limit Theorem to apply so that the differences in sample proportions follow a normal distribution? [Select) Consider1 [ Select]...
A simple random sample of size n= 42 is obtained from a population with p =...
A simple random sample of size n= 42 is obtained from a population with p = 67 and o = 18. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilitie (b) Assuming the normal model can be used determine P(x <70.6) (c) Assuming the normal model can be used, determine P(x2682). (a) What must be true regarding the distribution of the population? O A. The population must be...
A random sample of size n 200 yielded p 0.50 a. Is the sample size large...
A random sample of size n 200 yielded p 0.50 a. Is the sample size large enough to use the large sample approximation to construct a confidence interval for p? Explain b. Construct a 95% confidence interval for p C. Interpret the 95% confidence interval d. Explain what is meant by the phrase "95% confidence interval." a. Is the sample large enough? AYes, because np 2 15 and nq2 15 No, because np 2 15 and nq< 15 No, because...
Suppose a simple random sample of size n-37 is obtained from a population with p =...
Suppose a simple random sample of size n-37 is obtained from a population with p = 68 and a = 16. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P X < 72.3). (c) Assuming the normal model can be used, determine...
A simple random sample of size n = 80 is obtained from a population with u...
A simple random sample of size n = 80 is obtained from a population with u = 55 and 6 = 3. Does the population need to be normally distributed for the sampling distribution of X to be approximately normally distributed? Why? What is the sampling distribution of ? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. No because the Central Limit Theorem states that regardless...
Suppose we select and SRS of size n=100 from a large population having proporti...continues
Suppose we select and SRS of size n=100 from a large population having proportion p of successes. Let X be the number of successes in the sample. For which value of pwould it be safe to assume the sampling distribution of X is approximately Normal?(a) 0.01(b) 1/9(c) 0.975(d) 0.9999(e) All of these.
A simple random sample of size n 14 is obtained from a population with u 66...
A simple random sample of size n 14 is obtained from a population with u 66 and a 17 (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of x (b) Assuming the normal model can be used, determine P(x<69.9). (c) Assuming the normal model can be used, determine P(x267.5) (a) What must be...
3. In class we have derived the sample size formula for testing equality of proportions in...
3. In class we have derived the sample size formula for testing equality of proportions in a two-sample sing the large sample testing procedure when the responses are binary. Following similar steps, obtain the sample size for testing equality of proportion to a reference value for a one-sample design. In particular, assume a level- a test with power 1-B for testing H: E = 0 vs. HAE 0, where e =p - Po is the true difference between the mean...
A simple random sample of size n= 13 is obtained from a population with u =...
A simple random sample of size n= 13 is obtained from a population with u = 66 and o = 18. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of x. (b) Assuming the normal model can be used, determine P(x<69.2). (c) Assuming the normal model can be used, determine P(x267.5). (a) What...
Consider taking random samples of size 50 from Population A with proportion 0.45 and random samples of size 40 from Population B with proportion 0.38. Use the provided formula sheet to calculate the standard error of the distribution of differences in sample proportions, Pr - PB Standard error (Select) Are the sample sizes for both groups large enough for the Central Limit Theorem to apply so that the differences in sample proportions follow a normal distribution? [Select) Consider1 [ Select]...
A simple random sample of size n= 42 is obtained from a population with p = 67 and o = 18. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilitie (b) Assuming the normal model can be used determine P(x <70.6) (c) Assuming the normal model can be used, determine P(x2682). (a) What must be true regarding the distribution of the population? O A. The population must be...
A random sample of size n 200 yielded p 0.50 a. Is the sample size large enough to use the large sample approximation to construct a confidence interval for p? Explain b. Construct a 95% confidence interval for p C. Interpret the 95% confidence interval d. Explain what is meant by the phrase "95% confidence interval." a. Is the sample large enough? AYes, because np 2 15 and nq2 15 No, because np 2 15 and nq< 15 No, because...
Suppose a simple random sample of size n-37 is obtained from a population with p = 68 and a = 16. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P X < 72.3). (c) Assuming the normal model can be used, determine...
A simple random sample of size n = 80 is obtained from a population with u = 55 and 6 = 3. Does the population need to be normally distributed for the sampling distribution of X to be approximately normally distributed? Why? What is the sampling distribution of ? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. No because the Central Limit Theorem states that regardless...
A simple random sample of size n 14 is obtained from a population with u 66 and a 17 (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of x (b) Assuming the normal model can be used, determine P(x<69.9). (c) Assuming the normal model can be used, determine P(x267.5) (a) What must be...
3. In class we have derived the sample size formula for testing equality of proportions in a two-sample sing the large sample testing procedure when the responses are binary. Following similar steps, obtain the sample size for testing equality of proportion to a reference value for a one-sample design. In particular, assume a level- a test with power 1-B for testing H: E = 0 vs. HAE 0, where e =p - Po is the true difference between the mean...
A simple random sample of size n= 13 is obtained from a population with u = 66 and o = 18. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of x. (b) Assuming the normal model can be used, determine P(x<69.2). (c) Assuming the normal model can be used, determine P(x267.5). (a) What...
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