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a) A student is working on his science fair project concerning the average height of a certain native plant, which he believes is normally distributed. He finds 25 mature plants and measures their heights, and determines the average height to be 10.2 cm (s =1.2 cm) Construct a 96% confidence interval on the mean height of the plants.

a) A student is working on his science fair project concerning the average height of a certain native plant, which he believes is normally distributed. He finds 25 mature plants and measures their heights, and determines the average height to be 10.2 cm (s =1.2 cm) Construct a 96% confidence interval on the mean height of the plants.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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3) Estimating the Mean: Unknown Variance a) A student is working on his science fair project concerning the average height of a certain native plant, which he believes is normally distributed. He finds 25 mature plants and measures their heights, and determines the average height to be 10.2 cm (s = 1.2 cm). Construct a 96% confidence interval on the mean height of the plants. .<μ<.
Transcribed Image Text:3) Estimating the Mean: Unknown Variance a) A student is working on his science fair project concerning the average height of a certain native plant, which he believes is normally distributed. He finds 25 mature plants and measures their heights, and determines the average height to be 10.2 cm (s = 1.2 cm). Construct a 96% confidence interval on the mean height of the plants. .<μ<.
b) A sports team is interested in estimated the time required to complete a certain obstacle course. 30 athletes go through the course; the average completion time is 52 s (s = 4 s). Construct a 90% lower confidence bound on the average completion time of this obstacle course. μ> c) A company is interested in estimating the maximum weight that a certain machine can handle safely. The weight capacity of this type of machine is normally distributed. The company takes a random sample of 15 machines and finds that the sample mean weight capacity is 1000 pounds (s = 50 pounds). Construct a 95% upper confidence bound on the maximum weight this machine can handle. μ<
Transcribed Image Text:b) A sports team is interested in estimated the time required to complete a certain obstacle course. 30 athletes go through the course; the average completion time is 52 s (s = 4 s). Construct a 90% lower confidence bound on the average completion time of this obstacle course. μ> c) A company is interested in estimating the maximum weight that a certain machine can handle safely. The weight capacity of this type of machine is normally distributed. The company takes a random sample of 15 machines and finds that the sample mean weight capacity is 1000 pounds (s = 50 pounds). Construct a 95% upper confidence bound on the maximum weight this machine can handle. μ<
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