2 3 Problem 1. A student competition involves building a scale model of a multistory structure out of balsa wood and then subjecting it to seismic loading on a shake table and observing its behavior. Balsa wood comes in 3 standard densities: Low Medium High Density (lb/ft³) 8 12 16 For all of problem 1 questions, the standard deviation of the measurement technique is 3.2 lb/ft³ Problem 1a) What is the probability of measuring a density of 10.2 lb/ft³ or greater if the students have low density balsa wood? Assume the data is normally distributed. 0.098 0.754 0.902 0.246 1 point Problem 1b) What is the probability of measuring 4 samples and getting an average density of 10.2 lb/ft³ or greater if the students have low density balsa wood? Assume the data is normally distributed. O 0.085 0.097 0.246 0.915 1 point Problem 1c) The students measure the density of 4 samples and calculate an average of 10.2 lb/ft³. What is the 95% 2-sided confidence interval range. Use a normal distribution for your calculations. (9.7, 10.7) (7.3, 12.2) Q (8.6, 11.8) (7.1, 13.3) 4 1 point 5 6 Problem 1d) The students measure the density of 4 samples and determine an average of 10.2 lb/ft³. What is the 95% 2-sided confidence interval range? Given the small sample size, use the t-distribution. (9.7, 10.7) (7.0, 13.4) (2.3, 18.1) (5.1, 15.3) 1 point Problem 1e) One of the students involved in the project believes they accidentally ordered high density balsa wood (16 lb/ft³) instead of low density (8 lb/ft³). The student writes the following hypotheses: Ho=16 HA: 16 Based on the data they collected (4 samples, average 10.2 lb/ft³, standard deviation 3.2 lb/ft³), what is the p-value calculated from hypothesis testing using the t-distribution? 0.982 0.036 0.050 0.0003 1 point Problem 1f) Which is the most accurate conclusion we can make from the hypothesis testing in 1e if we use a 0.05 significance? The wood is likely to be high density balsa wood. The wood is unlikely to be low density balsa wood. The wood is likely to be medium density balsa wood. The wood is unlikely to be high density balsa wood. *
2 3 Problem 1. A student competition involves building a scale model of a multistory structure out of balsa wood and then subjecting it to seismic loading on a shake table and observing its behavior. Balsa wood comes in 3 standard densities: Low Medium High Density (lb/ft³) 8 12 16 For all of problem 1 questions, the standard deviation of the measurement technique is 3.2 lb/ft³ Problem 1a) What is the probability of measuring a density of 10.2 lb/ft³ or greater if the students have low density balsa wood? Assume the data is normally distributed. 0.098 0.754 0.902 0.246 1 point Problem 1b) What is the probability of measuring 4 samples and getting an average density of 10.2 lb/ft³ or greater if the students have low density balsa wood? Assume the data is normally distributed. O 0.085 0.097 0.246 0.915 1 point Problem 1c) The students measure the density of 4 samples and calculate an average of 10.2 lb/ft³. What is the 95% 2-sided confidence interval range. Use a normal distribution for your calculations. (9.7, 10.7) (7.3, 12.2) Q (8.6, 11.8) (7.1, 13.3) 4 1 point 5 6 Problem 1d) The students measure the density of 4 samples and determine an average of 10.2 lb/ft³. What is the 95% 2-sided confidence interval range? Given the small sample size, use the t-distribution. (9.7, 10.7) (7.0, 13.4) (2.3, 18.1) (5.1, 15.3) 1 point Problem 1e) One of the students involved in the project believes they accidentally ordered high density balsa wood (16 lb/ft³) instead of low density (8 lb/ft³). The student writes the following hypotheses: Ho=16 HA: 16 Based on the data they collected (4 samples, average 10.2 lb/ft³, standard deviation 3.2 lb/ft³), what is the p-value calculated from hypothesis testing using the t-distribution? 0.982 0.036 0.050 0.0003 1 point Problem 1f) Which is the most accurate conclusion we can make from the hypothesis testing in 1e if we use a 0.05 significance? The wood is likely to be high density balsa wood. The wood is unlikely to be low density balsa wood. The wood is likely to be medium density balsa wood. The wood is unlikely to be high density balsa wood. *
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Can you tell me if I got them correct, if not please answer each correctly. It's for homework
Transcribed Image Text:2
3
Problem 1.
A student competition involves building a scale model of a multistory structure out of balsa wood and then subjecting it to seismic loading on a shake table and observing its
behavior. Balsa wood comes in 3 standard densities:
Low
Medium
High
Density (lb/ft³)
8
12
16
For all of problem 1 questions, the standard deviation of the measurement technique is 3.2 lb/ft³
Problem 1a)
What is the probability of measuring a density of 10.2 lb/ft³ or greater if the students have low density balsa wood? Assume the data is normally distributed.
0.098
0.754
0.902
0.246
1 point
Problem 1b)
What is the probability of measuring 4 samples and getting an average density of 10.2 lb/ft³ or greater if the students have low density balsa wood? Assume the data is normally
distributed.
O 0.085
0.097
0.246
0.915
1 point
Problem 1c)
The students measure the density of 4 samples and calculate an average of 10.2 lb/ft³. What is the 95% 2-sided confidence interval range. Use a normal distribution for your
calculations.
(9.7, 10.7)
(7.3, 12.2)
Q
(8.6, 11.8)
(7.1, 13.3)
4
1 point
5
6
Problem 1d)
The students measure the density of 4 samples and determine an average of 10.2 lb/ft³. What is the 95% 2-sided confidence interval range? Given the small sample size, use the
t-distribution.
(9.7, 10.7)
(7.0, 13.4)
(2.3, 18.1)
(5.1, 15.3)
1 point
Problem 1e)
One of the students involved in the project believes they accidentally ordered high density balsa wood (16 lb/ft³) instead of low density (8 lb/ft³). The student writes the
following hypotheses:
Ho=16
HA: 16
Based on the data they collected (4 samples, average 10.2 lb/ft³, standard deviation 3.2 lb/ft³), what is the p-value calculated from hypothesis testing using the t-distribution?
0.982
0.036
0.050
0.0003
1 point
Problem 1f)
Which is the most accurate conclusion we can make from the hypothesis testing in 1e if we use a 0.05 significance?
The wood is likely to be high density balsa wood.
The wood is unlikely to be low density balsa wood.
The wood is likely to be medium density balsa wood.
The wood is unlikely to be high density balsa wood.
*
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