Answer true or false with a sentence or two explanation.
1. In order to construct a confidence interval estimate of thepopulation mean, the value of the population mean is needed.
2. A confidence interval is an interval estimate for which thereis a specified degree of certainty that the actual value of thepopulation parameter will fall within the interval.
3. The larger the confidence level used in constructing aconfidence interval estimate of the population mean, the narrowerthe confidence interval.
4. The term 1 – alpha refers to the probability that aconfidence interval does not contain the population parameter.
5. In the formula , Xbar plus or minus z alpha / 2 times thestand dev. / sq root of n. the subscript alpha over 2 refers to thearea in the lower tail or upper tail of the sampling distributionof the sample mean.
6. When constructing confidence interval for a parameter, wegenerally set the confidence level 1 - alpha close to 1 (usuallybetween 0.90 and 0.99) because it is the probability that theinterval includes the actual value of the population parameter.
7. Suppose that a 90% confidence interval for Mu is given byXbar plus or minus .75. This notation means that we are 90%confident that Mu falls between xbar minus .75 and xbar plus.75
8. When a sample standard deviation is used to estimate apopulation standard deviation, the margin of error is computed byusing the standard normal distribution.
9. The width of a confidence interval is independent of thesample size.
10. Suppose a sample size of 5 has mean 9.60. If the populationvariance is 5 and the population is normally distributed, the lowerlimit for a 92% confidence interval is 7.85.
