Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
4th Edition
ISBN: 9780128045251
Author: Stormy Attaway Ph.D. Boston University
Publisher: Elsevier Science
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Chapter 7, Problem 1E
To determine
To write:
A
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For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A.
4 2
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A=
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20 -8
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Find a nonzero vector in Nul A.
During the 2017-2018 flu season, a random sample of 180 hospitalizations related to flu was studied. It was
later determined that 19 patients have died.
A similar study during the 2018-2019 flu season revealed that in a random sample of 180 hospitalized cases
related to flu, there were 16 deaths observed.
At 5% significance level, test the claim that the percentage of deaths in 2017-2018 is greater than the
percentage of deaths in the 2018-2019 season.
Procedure: Two proportions Z Hypothesis Test
Assumptions: (select everything that applies)
Normal populations
Population standard deviation are unknown but assumed equal
The number of positive and negative responses are both 10 or more for each sample
Paired samples
Population standard deviation are unknown
Sample sizes are both greater than 30
Simple random samples
Population standard deviations are known
Independent samples
Step 1. Hypotheses Set-Up:
Ho: Select an answer
H: Select an answer ?~
Step 2. The significance level a =
96…
In hypothesis testing, a Type I error is:A. Failing to reject a false null hypothesisB. Rejecting a true null hypothesisC. Choosing the wrong statistical testD. A computational rounding error
Chapter 7 Solutions
Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
Ch. 7 - Prob. 7.1PCh. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - Prob. 7.5PCh. 7 - Prob. 7.6PCh. 7 - Prob. 7.7PCh. 7 - Prob. 1ECh. 7 - Prob. 2ECh. 7 - Prob. 3E
Ch. 7 - Prob. 4ECh. 7 - Prob. 5ECh. 7 - Prob. 6ECh. 7 - Prob. 7ECh. 7 - Prob. 8ECh. 7 - Prob. 9ECh. 7 - Prob. 10ECh. 7 - Prob. 11ECh. 7 - Prob. 12ECh. 7 - Prob. 13ECh. 7 - Prob. 14ECh. 7 - Prob. 15ECh. 7 - Prob. 16ECh. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - Prob. 19ECh. 7 - Prob. 20ECh. 7 - Prob. 21ECh. 7 - Prob. 22ECh. 7 - Prob. 23ECh. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - Prob. 28ECh. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35E
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- A 95% confidence interval for a mean is (10, 16). Which statement is correct?A. There is a 95% probability the population mean lies between 10 and 16.B. 95% of the sample data lie between 10 and 16.C. If we repeat the sampling procedure many times, ~95% of such CIs will contain the true mean.D. The true mean is definitely 13.arrow_forwardIn a two-sample t-test comparing means of independent samples, which assumption is NOT required?A. The two samples are independentB. Each population is normally distributed (or n large)C. Observations within each sample are independentD. Population variances must be equal for Welch’s t-testarrow_forwardYou draw repeated random samples of size 30 from any population with finite mean and variance. The sampling distribution of the sample mean will approximately be:A. UniformB. BinomialC. Approximately normal (by CLT)D. Highly skewed regardless of original distributionarrow_forward
- Which distribution is appropriate for modeling the count of events occurring in a fixed interval when events happen independently at a constant average rate?A. Normal distributionB. Binomial distributionC. Poisson distributionD. Exponential distributionarrow_forwardA researcher tests whether a new drug changes blood pressure. The null hypothesis H0H0 is “no effect.” A p-value of 0.03 was obtained. Which is correct at α = 0.05?A. Fail to reject H0H0B. Reject H0H0 — evidence drug has an effectC. Accept H0H0D. Results are inconclusive because p-value must be <0.01arrow_forwardWhich statistic would you use to test whether categorical variables A and B are independent?A. ANOVA F-statisticB. Pearson chi-square testC. Paired t-testD. Linear regression coefficientarrow_forward
- A 95% confidence interval for a mean is (10, 16). Which statement is correct?A. There is a 95% probability the population mean lies between 10 and 16.B. 95% of the sample data lie between 10 and 16.C. If we repeat the sampling procedure many times, ~95% of such CIs will contain the true mean.D. The true mean is definitely 13.arrow_forwardWhich statistic would you use to test whether categorical variables A and B are independent?A. ANOVA F-statisticB. Pearson chi-square testC. Paired t-testD. Linear regression coefficientarrow_forwardIn a two-sample t-test comparing means of independent samples, which assumption is NOT required?A. The two samples are independentB. Each population is normally distributed (or n large)C. Observations within each sample are independentD. Population variances must be equal for Welch’s t-testarrow_forward
- A manufacturer claims that the mean life of their bulbs is 1200 hours with a standard deviation of 100 hours.A sample of 25 bulbs has a mean life of 1170 hours.Test the claim at a 5% significance level.arrow_forwardno ChatGPT Which measure is most appropriate to describe the strength and direction of a linear relationship between two continuous variables?A. Spearman’s rhoB. Pearson’s correlation coefficient rrC. Cohen’s dD. Chi-square statisticarrow_forwardGiven data pairs (x, y):(2, 5), (3, 6), (4, 7), (5, 10), (6, 12).Find the correlation coefficient and the equation of the best-fit line y = a + bx.arrow_forward
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