a. A typical washing machine has several different cycles, including soak, wash, and rinse. The energy consumption of a washing machine is linked to the length of each cycle. A random sample of 20 washing machines was obtained, and the length (in minutes) for each wash cycle was recorded yielding a sample mean of 37.2 minutes and a sample standard deviation is 4.0 minutes. Assume length of wash cycles is normally distributed. Find and interpret a 92% confidence interval for the true mean wash cycle time.
a. A typical washing machine has several different cycles, including soak, wash, and rinse. The energy consumption of a washing machine is linked to the length of each cycle. A random sample of 20 washing machines was obtained, and the length (in minutes) for each wash cycle was recorded yielding a sample mean of 37.2 minutes and a sample standard deviation is 4.0 minutes. Assume length of wash cycles is normally distributed. Find and interpret a 92% confidence interval for the true mean wash cycle time.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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a. A typical washing machine has several different cycles, including soak,
wash, and rinse. The energy consumption of a washing machine is linked to the
length of each cycle. A random sample of 20 washing machines was obtained,
and the length (in minutes) for each wash cycle was recorded yielding a sample
mean of 37.2 minutes and a sample standard deviation is 4.0 minutes. Assume
length of wash cycles is normally distributed. Find and interpret a 92%
confidence interval for the true mean wash cycle time.
b. Suppose a confidence interval constructed from this data was (34.929,
39.471) minutes. What confidence level was used to produce this interval?
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