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A factory manufactured PVC pipes with a mean diameter of 3.4 cm, a standard deviation of 1.7 cm and is normally distributed. If 72 of PVC pipes are randomly selected, what is the probability that the sample mean diameter of the pipes is less than 3.0 cm?

A factory manufactured PVC pipes with a mean diameter of 3.4 cm, a standard deviation of 1.7 cm and is normally distributed. If 72 of PVC pipes are randomly selected, what is the probability that the sample mean diameter of the pipes is less than 3.0 cm?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Q1 (a) A factory manufactured PVC pipes with a mean diameter of 3.4 cm, a standard deviation of 1.7 cm and is normally distributed. If 72 of PVC pipes are randomly selected, what is the probability that the sample mean diameter of the pipes is less than 3.0 cm? (b) A civil engineer tested the compressive strength of 12 specimens of concrete and obtained the data as presented in Table Q1(b). Construct a 95% confidence interval for the mean compressive strength of the tested concrete. (c) Due to the Covid-19 pandemic, the number of trips made by an individual seems to decrease during the pandemic. A researcher intends to investigate this issue in which he is particularly interested in determining whether the number of trips made before the Covid-19 is higher than during the Covid-19. A survey was conducted in Kuala Lumpur and Table Q1(c) shows the data obtained from the survey. A total of 9 respondents before the Covid-19 and 8 respondents after the Covid-19 were taking part in the survey. At the 0.05 significance level, can we conclude that more trips have been made before the Covid-19 pandemic?
Transcribed Image Text:Q1 (a) A factory manufactured PVC pipes with a mean diameter of 3.4 cm, a standard deviation of 1.7 cm and is normally distributed. If 72 of PVC pipes are randomly selected, what is the probability that the sample mean diameter of the pipes is less than 3.0 cm? (b) A civil engineer tested the compressive strength of 12 specimens of concrete and obtained the data as presented in Table Q1(b). Construct a 95% confidence interval for the mean compressive strength of the tested concrete. (c) Due to the Covid-19 pandemic, the number of trips made by an individual seems to decrease during the pandemic. A researcher intends to investigate this issue in which he is particularly interested in determining whether the number of trips made before the Covid-19 is higher than during the Covid-19. A survey was conducted in Kuala Lumpur and Table Q1(c) shows the data obtained from the survey. A total of 9 respondents before the Covid-19 and 8 respondents after the Covid-19 were taking part in the survey. At the 0.05 significance level, can we conclude that more trips have been made before the Covid-19 pandemic?
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