Statistical Inference and Interval Estimate
Submit completed tests as word or pdf files via email to paul.kurose@seattlecolleges.edu
Due: Sunday, May 19 (by 8am).
1. a) In Chapter 6, you learned to find interval estimates for two population parameters, a population mean and a population proportion. Explain the meaning of an interval estimate of a population parameter.
An interval estimate for a specified population parameter (such as a mean or proportion) is a range of values in which the parameter is estimated to lie. In Chapter 6, you were assigned to find interval estimates for a population mean and a population proportion. b) Is finding an interval estimate an example of inferential or descriptive statistics? Explain.
It is an interval estimate is an example of inferential statistics, as an estimate of the value of the population parameter is made based on sample statistics. c) An interval estimate (23.8, 30.6) is determined for the mean age of NSCC students. Identify the point estimate and the margin of error of the interval estimate. The point estimate=27.2 and the margin of error=3.4 d) The proportion of registered voters in Washington State in favor of a referendum to lower college tuitions is estimated with a 95% confidence level to be 45% with a margin of error ±3%. Is it possible the referendum will pass? Explain.
Yes, It is possible the referendum will pass. The margin of error is only stated with 95% confidence. In the given case, the estimate that the population proportion will lie between 0.42 and 0.48 (0.45 ± .03) is only stated with 95% certainty, so there is a 5% chance the actual population proportion will lie outside of the interval and possibly exceed 0.50, the proportion needed for the referendum to pass.
2. a) Find the critical value corresponding to a 95% confidence level. z.95=1.96 b) Would the critical value corresponding to a 96% confidence level be less than or greater than your answer to part a) above? Explain your reasoning. Considering that Z96
Due: Sunday, May 19 (by 8am).
1. a) In Chapter 6, you learned to find interval estimates for two population parameters, a population mean and a population proportion. Explain the meaning of an interval estimate of a population parameter.
An interval estimate for a specified population parameter (such as a mean or proportion) is a range of values in which the parameter is estimated to lie. In Chapter 6, you were assigned to find interval estimates for a population mean and a population proportion. b) Is finding an interval estimate an example of inferential or descriptive statistics? Explain.
It is an interval estimate is an example of inferential statistics, as an estimate of the value of the population parameter is made based on sample statistics. c) An interval estimate (23.8, 30.6) is determined for the mean age of NSCC students. Identify the point estimate and the margin of error of the interval estimate. The point estimate=27.2 and the margin of error=3.4 d) The proportion of registered voters in Washington State in favor of a referendum to lower college tuitions is estimated with a 95% confidence level to be 45% with a margin of error ±3%. Is it possible the referendum will pass? Explain.
Yes, It is possible the referendum will pass. The margin of error is only stated with 95% confidence. In the given case, the estimate that the population proportion will lie between 0.42 and 0.48 (0.45 ± .03) is only stated with 95% certainty, so there is a 5% chance the actual population proportion will lie outside of the interval and possibly exceed 0.50, the proportion needed for the referendum to pass.
2. a) Find the critical value corresponding to a 95% confidence level. z.95=1.96 b) Would the critical value corresponding to a 96% confidence level be less than or greater than your answer to part a) above? Explain your reasoning. Considering that Z96