A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.8; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.   1.Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)    2. Construct a 95% confidence interval for the population mean length of time.  (i) State the confidence interval. (Round your answers to two decimal places.) (     ,     )   (iii) Calculate the error bound. (Round your answer to two decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.8; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.

 

1.Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) 

 

2. Construct a 95% confidence interval for the population mean length of time.

 (i) State the confidence interval. (Round your answers to two decimal places.)

(     ,     )

 

(iii) Calculate the error bound. (Round your answer to two decimal places.)  

 

 

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