Stats Homework 3c

Which of the following is NOT a requirement for constructing a confidence interval for estimating a population mean with sigmaσ ​known?

The confidence level is​ 95%.

Which of the following is NOT an equivalent expression for the confidence interval given by 161.7less than<muμless than<​189.5?

161.7plus or minus±27.8

The​ _____________ distribution is used to develop confidence interval estimates of variances or standard deviations.

The Chi-square distribution is used to develop confidence interval estimates of variances or standard deviations.

The statistics of nequals=22 and sequals=14.3 result in this​ 95% confidence interval estimate of sigmaσ​: 11.0less than<sigmaσless than<20.4. That confidence interval can also be expressed as​ (11.0, 20.4). Given that 15.7plus or minus±4.7 results in values of 11.0 and​ 20.4, can the confidence interval be expressed as 15.7plus or minus±4.7 as​ well? Choose the correct answer below.

No. The format implies that sequals=​15.7, but s is given as 14.3. In​ general, a confidence interval for sigmaσ does not have s at the center.

The​ _______ is the best point estimate of the population mean.

The sample mean is the best point estimate of the population mean.

Which of the following is NOT a property of the​ chi-square distribution?

The mean of the​ chi-square distribution is 0.

Which of the following calculations is NOT derived from the confidence​ interval?

The population​ mean, mean equals upper confid - lower c

Which of the following is NOT required to determine minimum sample size to estimate a population​ mean?

The size of the​ population, N

Which of the following is NOT a property of the Student t​ distribution?

The standard deviation of the Student t distribution is sequals=1.

Which of the following would be a correct interpretation of a​ 99% confidence interval such as 4.1less than<muμless than<​5.6?

We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of muμ.