Construct a 95% confidence interval for the population mean length of time. (i) State the confidence interval. (Round your answers to two decimal places.) (ii) Sketch the graph. a C.L. 2 (iii) Calculate the error bound. (Round your answer to two decimal places.) + Part (f)

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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 o
9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.7; 2.9; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.
NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
O Part (a)
(i) Round your answer to two decimal places.
X =
(rounded to two decimal places)
(ii) Round your answer to two decimal places.
Sy =
(ro
ded to two decimal places)
(iii) Enter an exact number as an integer, fraction, or decimal.
n =
(iv) Enter an exact number as an integer, fraction, or decimal.
n - 1 =
Transcribed Image Text: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 o 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.7; 2.9; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) (i) Round your answer to two decimal places. X = (rounded to two decimal places) (ii) Round your answer to two decimal places. Sy = (ro ded to two decimal places) (iii) Enter an exact number as an integer, fraction, or decimal. n = (iv) Enter an exact number as an integer, fraction, or decimal. n - 1 =
Construct a 95% confidence interval for the population mean length of time.
(i) State the confidence interval. (Round your answers to two decimal places.)
(ii) Sketch the graph.
a
C.L. =
(iii) Calculate the error bound. (Round your answer to two decimal places.)
+ Part (f)
||
Transcribed Image Text:Construct a 95% confidence interval for the population mean length of time. (i) State the confidence interval. (Round your answers to two decimal places.) (ii) Sketch the graph. a C.L. = (iii) Calculate the error bound. (Round your answer to two decimal places.) + Part (f) ||
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