Question

In: Math

A sample of size 8 will be drawn from a normal population with mean 63 and...

A sample of size 8 will be drawn from a normal population with mean 63 and standard deviation 12. Use the TI-84 Plus calculator.

(a) Is it appropriate to use the normal distribution to find probabilities for x bar?

(b) Find the probability that x bar will be between 53 and 73. Round the answer to at least four decimal places.

(c) Find the 83rd percentile of x bar. Round the answer to at least two decimal places.

Solutions

Expert Solution


Related Solutions

A sample size 5 will be drawn from a normal population with mean 60 and standard...
A sample size 5 will be drawn from a normal population with mean 60 and standard deviation 12. a. Is it appropriate to use the normal distribution to find probability for ?̅? Explain why? b. If appropriate find the probability that ?̅will be between 50 and 70. c. If appropriate find the 80th percentile of ?̅?
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: 16, 26, 20, 14, 23, 10, 12, 29. A. Calculate the sample mean and the sample standard deviation. Sample mean: Sample standard deviation: B. Construct the 95% confidence interval for the population mean. Confidence interval ______ to ______ C. Construct the 99% confidence interval for the population mean. Confidence interval ______ to ______ D. What happens to the margin of error...
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, 23, 13, 22, 14, 17, 29, 19. 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.) b. Construct the 95% confidence interval for the population mean. (Round "t" value to 3 decimal places and final...
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: 25, 11, 12, 27, 26, 22, 8, 5. Use Table 2. a. Calculate the sample mean and the sample standard deviation. (Round intermediate calculations to 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.) Sample mean Sample standard deviation b. Construct the 95% confidence interval for the population mean. (Round "t" value...
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: 16, 21, 12, 23, 25, 26, 22, 17. [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.) b. Construct the 80% confidence interval for the population...
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: 21, 14, 13, 24, 17, 22, 25, 12. [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.) b. Construct the 90% confidence interval for the population...
Random sample of size 7 is drawn from a normal population with variance 2.5 the sample...
Random sample of size 7 is drawn from a normal population with variance 2.5 the sample observations are 9, 16, 10, 14, 8, 13, 14. find 99% confidence interval for the population mean what would be the confidence interval if the variance is unknown.
A sample of size 82 will be drawn from a population with mean 24 and standard...
A sample of size 82 will be drawn from a population with mean 24 and standard deviation 9. Would it be unusual if the sample mean was greater than 27? Why or Why not?
A sample of size 42 will be drawn from a population with mean 52 and standard...
A sample of size 42 will be drawn from a population with mean 52 and standard deviation 11. (a) Is it appropriate to use the normal distribution to find probabilities for x(bar)? (b) If appropriate find the probability that x(bar) will be between 53 and 54. Round the answer to at least four decimal places. (c) If appropriate find the 46th percentile of x(bar). Round the answer to at least two decimal places.
A sample of size 75 will be drawn from a population with mean 35 and standard...
A sample of size 75 will be drawn from a population with mean 35 and standard deviation 10.Use the Cumulative Normal Distribution Table if needed. 1) Find the probability that mean=x will be greater than 32. Round the final answer to at least four decimal places. 2) Find the 65th percentile of mean=x. Round the answer to at least two decimal places.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT