Question

In: Statistics and Probability

1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample...

1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample mean is 10 with the sample size of 100. Population standard deviation is known to be 5.

2. Suppose that sample size changes to 144 and 225. Develop three confidence intervals again. What happens to the margin of error when sample size increases?

3. A simple random sample of 400 individuals provides 100 yes responses. Compute the 90%, 95%, and 99% confidence interval for population proportion (p).

4. With the same random sample as in 3, if the sample size increases to 1000, what happens to the three confidence intervals?

Solutions

Expert Solution


Related Solutions

1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample...
1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample mean is 10 with the sample size of 100. Population standard deviation is known to be 5. 2. Suppose that sample size changes to 144 and 225. Develop three confidence intervals again. What happens to the margin of error when sample size increases? 3. A simple random sample of 400 individuals provides 100 yes responses. Compute the 90%, 95%, and 99% confidence interval for...
1) Construct 90%, 95%, and 99% confidence intervals for the population mean of total daily sales....
1) Construct 90%, 95%, and 99% confidence intervals for the population mean of total daily sales. 2) Run a hypothesis test on the population mean for total daily sales. Use a hypothesized value of $1600 and test at levels of significance of 0.01, 0.05, and 0.10. Use both the critical value and p-value approaches when testing at each level of significance. TABLE 4:TOTAL DAILY SALES $1,800 $975 $1,814 $1,421 $1,335 $1,273 $1,592 $1,305 $1,103 $1,105 $1,438 $1,219 $1,661 $1,692 $1,709...
construct 90, 95, and 99 percent confidence intervals for the population mean, and state the practical...
construct 90, 95, and 99 percent confidence intervals for the population mean, and state the practical and probabilistic interpretations of each. Indicate which interpretation you think would be more appropriate to use. Explain why the three intervals that you construct are not of equal width. Indicate which of the three intervals you would prefer to use as an estimate of the population mean, and state the reason for your choice. In a length of hospitalization study conducted by several cooperating...
Construct  90%, 95%, and 99% confidence intervals for the population mean, and state the practical and probabilistic...
Construct  90%, 95%, and 99% confidence intervals for the population mean, and state the practical and probabilistic interpretations of each. Indicate which interpretation you think would be more appropriate to use. Explain why the three intervals that you construct are not of equal width. Indicate which of the three intervals you would prefer to use as an estimate of the population mean, and state the reason for your choice. In a length of hospitalization study conducted by several cooperating hospitals, a...
uConstruct confidence intervals for the population mean of 80%, 90%, 95%, 99% using the following data...
uConstruct confidence intervals for the population mean of 80%, 90%, 95%, 99% using the following data and a population standard deviation of 900: un = 100 u?x ̅ = 425
Calculate and interpret 90%, 95%, and 99% confidence intervals for both groups of approaches in question...
Calculate and interpret 90%, 95%, and 99% confidence intervals for both groups of approaches in question 5. Also provide 90%, 95%, and 99% confidence intervals for both groups when the sample size is increased from 10 to 150. Interpret all statistics. a. A random sample of 15 families representing three social classes has been observed for the frequency with which the parents administer physical punishment to the children over a period of a week. Are the differences significant? Use the...
What are the z values for the following confidence intervals: A) 99% B) 95% C) 90%...
What are the z values for the following confidence intervals: A) 99% B) 95% C) 90% D) 80% E) 70% Please explain also so I can learn how you are doing it.
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population. 12.9 11.6 11.9 12.2 12.5 11.4 12.0 11.7 11.8 12.9 (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) 90% confidence interval: ?≤ μ ?≤ 95% confidence interval: ?≤ μ? ≤ 99% confidence interval:? ≤ μ ?≤ The point estimate is?
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population. 13.2 11.6 11.9 12.5 12.5 11.4 12.0 11.7 11.8 13.2 Appendix A Statistical Tables (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) 90% confidence interval: enter the lower limit of the 90% confidence interval  ≤ μ ≤ enter the upper limit of the 90% confidence interval 95%...
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population. 11.9 11.6 11.9 13.0 12.5 11.4 12.0 11.7 11.8 11.9 Appendix A Statistical Tables (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) 90% confidence interval: enter the lower limit of the 90% confidence interval  ≤ μ ≤ enter the upper limit of the 90% confidence interval 95%...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT