Confidence Interval Estimation
Multiple Choice

1 .       The z-value that is used to construct a 95% confidence interval is: [Hint]

 
 
 
 


2 .       The z-value that is used to construct a 99% confidence interval is: [Hint]

 
 
 
 


3 .       Which of the following is NOT a property of the student's t distribution? [Hint]

 
 
 
 


4 .       A 95% confidence interval for the mean can be interpreted to mean that: [Hint]

 
 
 
 


5 .       Which of the following statements is false? [Hint]

 
 
 
 


6 .       The type of reasoning involved in obtaining confidence interval estimates is called: [Hint]

 
 
 
 


7 .       You and your friend decide to construct 95% confidence intervals for a given population mean. You wind up taking a sample of 49 random observations, while your friend's sample is made up of 36 random observations. Which of the following is true? [Hint]

 
 
 
 


8 .       The value of alpha for a 98% confidence interval would be: [Hint]

 
 
 
 


9 .       The width of a confidence interval for a proportion will be: [Hint]

 
 
 
 


10 .       When determining the sample size for a mean for a given level of confidence and standard deviation, if the sampling error (e) is allowed to increase, the sample size required: [Hint]

 
 
 
 


11 .       The value of z selected for constructing a given confidence interval is called the ________ value. [Hint]

 
 
 
 


12 .       When estimating the population mean with a small sample, the t distribution may be used with ______ degrees of freedom. [Hint]

 
 
 
 


13 .       A sample of 50 students was taken from the local university. These students spent an average of $170 on books this semester, with a standard deviation of $25.50. A 95% confidence interval for the average spent on books for all students would be ______. [Hint]

 
 
 
 


14 .       The t-value that would be used to construct a 99% confidence interval for the mean with a sample of size n=17 would be ______. [Hint]

 
 
 
 


15 .       A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statistics students generated the following 90% confidence interval: (0.438, 0.642). Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence? [Hint]

 
 
 
 






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