A public university is considering a change in the way students pay for their undergraduate classes.  To investigate whether the change will be financially beneficial, the university randomly samples 374 full-time students and estimates the mean number of credit hours taken per semester with the following 92% confidence interval:  (14.0795, 15.1982).  Use this interval to answer the following questions:  Which of the following interpretation is most appropriate for the interval calculated? 92% of all students at this university will take between 14.0795 and 15.1982 credit hours. The number of credit hours taken is between 14.0795 and 15.1982 with 92% confidence. The interval 14.0795 hours and 15.1982 hours contains the true mean number of credit hours taken 92% of the time. With 92% confidence the true mean number of credit hours taken is between 14.0795 and 15.1982. What is the margin of error for this interval?  Write your answer in the blank provided rounded to four decimal places.  If a 97% confidence interval had been calculated, which of the following best describes the margin of error for this interval? The margin of error would have been larger. The margin of error would have been smaller. The margin of error would have remained the same.

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A public university is considering a change in the way students pay for their undergraduate classes.  To investigate whether the change will be financially beneficial, the university randomly samples 374 full-time students and estimates the mean number of credit hours taken per semester with the following 92% confidence interval:  (14.0795, 15.1982).  Use this interval to answer the following questions: 

  1. Which of the following interpretation is most appropriate for the interval calculated?
    • 92% of all students at this university will take between 14.0795 and 15.1982 credit hours.
    • The number of credit hours taken is between 14.0795 and 15.1982 with 92% confidence.
    • The interval 14.0795 hours and 15.1982 hours contains the true mean number of credit hours taken 92% of the time.
    • With 92% confidence the true mean number of credit hours taken is between 14.0795 and 15.1982.
  2. What is the margin of error for this interval?  Write your answer in the blank provided rounded to four decimal places. 
  3. If a 97% confidence interval had been calculated, which of the following best describes the margin of error for this interval?
    • The margin of error would have been larger.
    • The margin of error would have been smaller.
    • The margin of error would have remained the same.
  4. Suppose the following hypotheses had been tested: Ho:μ=16Ho:μ=16  versus Ha:μ<16Ha:μ<16.  Based on the interval provided, which of the following best describes the p-value of the test?
    • Not enough information to tell.
    • The p-value would be less than 0.08.
    • The p-value would be greater than 0.08.
 
 
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