Homework Answers
Margin of error is inversely proportion to the square root of sample size. So,
To decrease margin of error by a factor of 1/2, new sample size must be (2)2 * n i.e. 4n
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7.5 Suppose you draw a random sample of size n from a normal distribution with unknown...
1. (8.1) You draw a sample of size 30 from a normally distributed population with a...
1. (8.1) You draw a sample of size 30 from a normally distributed population with a standard deviation of 4. The sample mean is 41. a. If you want to construct a 95% confidence interval, how much probability will be in each tail of the distribution? b. Find the margin of error for a 95% confidence interval. c. Construct and write a statement interpreting a 95% confidence interval.
Suppose that you give the SAT to a random sample of 1000 people from a large...
Suppose that you give the SAT to a random sample of 1000 people from a large population in which the scores have mean 1400 and it is known that the population standard deviation is 200. It is known that the distribution is approximately normal. (a) Construct a 95% confidence interval for the unknown mean of the SAT test. (b) Construct a 90% confidence interval for the unknown mean of the SAT test. (c) Construct a 92% confidence interval for the...
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...
3. Suppose that the length of iron rods from a certain factory follows the normal distribution...
3. Suppose that the length of iron rods from a certain factory follows the normal distribution with known standard deviation o = 0.2 m but unknown mean u. Construct a 88% confidence interval for the population mean u if a random sample of n = 16 of these iron rods has sample mean of 6 m. Z= E = CI:
Suppose that a simple random sample is taken from a normal population having a standard deviation...
Suppose that a simple random sample is taken from a normal population having a standard deviation of 11 for the purpose of obtaining a 95% confidence interval for the mean of the population. a. If the sample size is 16, obtain the margin of error. b. Repeat part (a) for a sample size of 81. a. The margin of error for a sample size of 16 is ??? (Round to two decimal places as needed.) b. The margin of error...
Suppose that a simple random sample is taken from a normal population having a standard deviation...
Suppose that a simple random sample is taken from a normal population having a standard deviation of 15 for the purpose of obtaining a 95% confidence interval for the mean of the population. a. If the sample size is 44, obtain the margin of error. b. Repeat part (a) for a sample size of 25
We have a random sample of size 17 from the normal distribution N(u,02) where u and...
We have a random sample of size 17 from the normal distribution N(u,02) where u and o2 are unknown. The sample mean and variance are x = 4.7 and s2 = 5.76 (a) Compute an exact 95% confidence interval for the population mean u (b) Compute an approximate (i.e. using a normal approximation) 95% confidence interval for the population mean u (c) Compare your answers from part a and b. (d) Compute an exact 95% confidence interval for the population...
answer a & b please Suppose that a simple random sample is taken from a normal...
answer a & b please
Suppose that a simple random sample is taken from a normal population having a standard deviation of 15 for the purpose of obtaining a 95% confidence interval for the mean of the population. a. If the sample size is 9, obtain the margin of error. b. Repeat part (a) for a sample size of 16. a. The margin of error for a sample size of 9 is □ (Round to two decimal places as needed.)
Let the following sample of 8 observations be drawn from a normal population with unknown mean...
Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 24, 22, 14, 26, 28, 16, 20, 21. [You may find it useful to reference the t table.) a. Calculate the sample mean and the sample standard deviation (Round intermediate calculations to at least 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.) Answer is complete but not entirely correct. Sample mean...
A simple random sample of size n is drawn. The sample mean, , is found to...
A simple random sample of size n is drawn. The sample mean, , is found to be 19.2, and the sample standard deviation, s, is found to be 4.6. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: I; Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if...
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...
3. Suppose that the length of iron rods from a certain factory follows the normal distribution with known standard deviation o = 0.2 m but unknown mean u. Construct a 88% confidence interval for the population mean u if a random sample of n = 16 of these iron rods has sample mean of 6 m. Z= E = CI:
We have a random sample of size 17 from the normal distribution N(u,02) where u and o2 are unknown. The sample mean and variance are x = 4.7 and s2 = 5.76 (a) Compute an exact 95% confidence interval for the population mean u (b) Compute an approximate (i.e. using a normal approximation) 95% confidence interval for the population mean u (c) Compare your answers from part a and b. (d) Compute an exact 95% confidence interval for the population...
answer a & b please
Suppose that a simple random sample is taken from a normal population having a standard deviation of 15 for the purpose of obtaining a 95% confidence interval for the mean of the population. a. If the sample size is 9, obtain the margin of error. b. Repeat part (a) for a sample size of 16. a. The margin of error for a sample size of 9 is □ (Round to two decimal places as needed.)
Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 24, 22, 14, 26, 28, 16, 20, 21. [You may find it useful to reference the t table.) a. Calculate the sample mean and the sample standard deviation (Round intermediate calculations to at least 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.) Answer is complete but not entirely correct. Sample mean...
A simple random sample of size n is drawn. The sample mean, , is found to be 19.2, and the sample standard deviation, s, is found to be 4.6. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: I; Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if...
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