# A pharmaceutical company makes

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.

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.)

(I) sx = ?

(ii) Construct a 95% confidence interval for the population mean length of time.

– State the confidence interval. (Round your answers to two decimal places.)
(   ,    )
– Sketch the graph

(iii) Calculate error bound

# A pharmaceutical company makes

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: 2.7; 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.)

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.

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

# A pharmaceutical company makes

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; 2.9; 3.0; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)Construct a 95% confidence interval for the population average length of time.

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

# A pharmaceutical company makes

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: 2.6; 2.8; 3.0; 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.)

# A pharmaceutical company makes

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: 2.6; 2.8; 3.0; 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.)

x =

(rounded to two decimal places)

sx =

(rounded 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 =

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

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