The population must be approximately normal c) Construct a 95% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses example (5.2314,8.1245)) Round upper and lower bounds to 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Suppose you are a researcher in a hospital. You are experimenting with a new sedative. You collect data
from a random sample of 12 patients. The period of effectiveness of the sedative for each patient (in
hours) is as follows:
Hours
2.8
3
2.5
2.7
2.8
2
2.4
2.8
2.8
2
2.3
2.9
a) What is a point estimate for the population mean length of time? (Round answer to 4 decimal places)
2.5833
2.5833333333333
b) What must be true in order to construct a confidence interval in this situation?
The population must be approximately normal
c) Construct a 95% confidence interval for the population mean length of time. Enter your answer as an
open-interval (i.e., parentheses example (5.2314,8.1245)) Round upper and lower bounds to 4 decimal
places.
Ω
Transcribed Image Text:esc HCS Bookmarks Suppose you are a researcher in a hospital. You are experimenting with a new sedative. You collect data from a random sample of 12 patients. The period of effectiveness of the sedative for each patient (in hours) is as follows: Hours 2.8 3 2.5 2.7 2.8 2 2.4 2.8 2.8 2 2.3 2.9 a) What is a point estimate for the population mean length of time? (Round answer to 4 decimal places) 2.5833 2.5833333333333 b) What must be true in order to construct a confidence interval in this situation? The population must be approximately normal c) Construct a 95% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses example (5.2314,8.1245)) Round upper and lower bounds to 4 decimal places. Ω
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