Table Q1(b): Results of compressive strength of concrete (in Psi) 2590 2530 2510 2566 2541 2589 2557 2582 2550 2583 2599 2600 Table Q1(c): Number of trips (frequency) made by respondents per week before Covid-19 and during Covid-19 Before Covid-19 During Covid-19 7 12 7 20 12 30 10 12 8 9. 10 471TS

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Question 1 B & 1 C Using manual calculation
Table Q1(b): Results of compressive strength of concrete (in Psi)
2590
2530
2510
2566
2541
2589
2557
2582
2550
2583
2599
2600
Table Q1(c): Number of trips (frequency) made by respondents per week before Covid-19
and during Covid-19
Before Covid-19
During Covid-19
7
5
12
20
30
24
10
10
12
18
8
10
72과 75
Transcribed Image Text:Table Q1(b): Results of compressive strength of concrete (in Psi) 2590 2530 2510 2566 2541 2589 2557 2582 2550 2583 2599 2600 Table Q1(c): Number of trips (frequency) made by respondents per week before Covid-19 and during Covid-19 Before Covid-19 During Covid-19 7 5 12 20 30 24 10 10 12 18 8 10 72과 75
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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