Homework Answers
2. A simple random sample of size n is drawn. The sample mean I is found...
2. A simple random sample of size n is drawn. The sample mean I is found to be 53.1, and the sample standard deviation s is found to be 7.8 a) (3 points) Construct a 95% confidence interval for the population mean u if the sample size n is 81. b) (3 points) Construct a 95% confidence interval for the population mean u if the sample size n is 30. c) (3 points) Construct a 90% confidence interval for the...
4. A sample of size n-81 is taken from an exponential distribution with the pdf f(x)-Be-6x,...
4. A sample of size n-81 is taken from an exponential distribution with the pdf f(x)-Be-6x, θ > 0, x > 0. The sample mean is i-35. Find a 95% large- sample confidence interval for θ using the Central Limit Theorem.
Example 3.6. Take a random sample of size n from an exponential distri- bution with rate...
Example 3.6. Take a random sample of size n from an exponential distri- bution with rate parameter XA. 1. Derive an exact 95% confidence interval for X. 2. Suppose your sample is of size 9 and has sample mean 3.93. (a) What is your 95% confidence interval for λ? (b) What is your 95% confidence interval for the population mean? 3. Repeat the above using the CLT approximation (rather than an eract interval
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 106, and the sample standard deviation, s, is found to be 10. (a) Construct a 90% confidence interval about u if the sample size, n, is 22. (b) Construct a 90% confidence interval about u if the sample size, n, is 27. (c) Construct a 99% confidence interval about u if the sample size, n, is...
10. A simple random sample of size n is drawn. The sample mean x is found...
10. A simple random sample of size n is drawn. The sample mean x is found to be 39.1, and the sample standard deviation s is found to be 9.7. a) (2 points) Construct a 90% confidence interval for the population mean u if the sample size n is 41. b) (2 points) Construct a 90% confidence interval for the population mean y if the sample size n is 101. c) (2 points) Construct a 99% confidence interval for the...
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10 (a) Construct a 95% confidence interval about if the sample size, n, is 25. (b) Construct a 95% confidence interval about if the sample size, n, is 13 (c) Construct a 90% confidence interval about if the sample size, n, is 25. (d) Could...
10. A simple random sample of size n is drawn. The sample mean x is found...
10. A simple random sample of size n is drawn. The sample mean x is found to be 39.1, and the sample standard deviation s is found to be 9.7. a) (2 points) Construct a 90% confidence interval for the population mean w if the sample size n is 41. b) (2 points) Construct a 90% confidence interval for the population mean 4 if the sample size n is 101. c) (2 points) Construct a 99% confidence interval for the...
A simple random sample of size n is drawn. The sample mean, x, is found to...
A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about if the sample size, n, is 35. Lower bound: :Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about if the sample size,...
A simple random sample of size n is drawn. The sample mean, x, is found to...
A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution. OC. The margin of error decreases. (c) Construct a 99% confidence interval about if the sample size, n, is 35. Lower bound: 17.14; Upper bound: 21.66 (Use ascending order. Round to two decimal places as needed.) Compare the results...
1. A random sample of size n is drawn from a population that is normally distributed...
1. A random sample of size n is drawn from a population that is normally distributed with a standard deviation of 8. The sample mean is found to be 50. 1.a) Construct a 98% confidence interval (CI) for the population mean uif the sample size is 16. The critical value used is The (margin of) error for the 98% confidence interval (C.I.) is The resulting Cl is 1.b) Construct a 95% confidence interval for the population mean u if the...
2. A simple random sample of size n is drawn. The sample mean I is found to be 53.1, and the sample standard deviation s is found to be 7.8 a) (3 points) Construct a 95% confidence interval for the population mean u if the sample size n is 81. b) (3 points) Construct a 95% confidence interval for the population mean u if the sample size n is 30. c) (3 points) Construct a 90% confidence interval for the...
4. A sample of size n-81 is taken from an exponential distribution with the pdf f(x)-Be-6x, θ > 0, x > 0. The sample mean is i-35. Find a 95% large- sample confidence interval for θ using the Central Limit Theorem.
Example 3.6. Take a random sample of size n from an exponential distri- bution with rate parameter XA. 1. Derive an exact 95% confidence interval for X. 2. Suppose your sample is of size 9 and has sample mean 3.93. (a) What is your 95% confidence interval for λ? (b) What is your 95% confidence interval for the population mean? 3. Repeat the above using the CLT approximation (rather than an eract interval
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 106, and the sample standard deviation, s, is found to be 10. (a) Construct a 90% confidence interval about u if the sample size, n, is 22. (b) Construct a 90% confidence interval about u if the sample size, n, is 27. (c) Construct a 99% confidence interval about u if the sample size, n, is...
10. A simple random sample of size n is drawn. The sample mean x is found to be 39.1, and the sample standard deviation s is found to be 9.7. a) (2 points) Construct a 90% confidence interval for the population mean u if the sample size n is 41. b) (2 points) Construct a 90% confidence interval for the population mean y if the sample size n is 101. c) (2 points) Construct a 99% confidence interval for the...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10 (a) Construct a 95% confidence interval about if the sample size, n, is 25. (b) Construct a 95% confidence interval about if the sample size, n, is 13 (c) Construct a 90% confidence interval about if the sample size, n, is 25. (d) Could...
10. A simple random sample of size n is drawn. The sample mean x is found to be 39.1, and the sample standard deviation s is found to be 9.7. a) (2 points) Construct a 90% confidence interval for the population mean w if the sample size n is 41. b) (2 points) Construct a 90% confidence interval for the population mean 4 if the sample size n is 101. c) (2 points) Construct a 99% confidence interval for the...
A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about if the sample size, n, is 35. Lower bound: :Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about if the sample size,...
A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution. OC. The margin of error decreases. (c) Construct a 99% confidence interval about if the sample size, n, is 35. Lower bound: 17.14; Upper bound: 21.66 (Use ascending order. Round to two decimal places as needed.) Compare the results...
1. A random sample of size n is drawn from a population that is normally distributed with a standard deviation of 8. The sample mean is found to be 50. 1.a) Construct a 98% confidence interval (CI) for the population mean uif the sample size is 16. The critical value used is The (margin of) error for the 98% confidence interval (C.I.) is The resulting Cl is 1.b) Construct a 95% confidence interval for the population mean u if the...
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