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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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Question

Consider the following table in reference to a hypothesis test:

\[
\begin{array}{c|c|c}
& H_0 \text{ True} & H_0 \text{ False} \\
\hline
\text{Accept } H_0 & (1) & (2) \\
\text{Reject } H_0 & (3) & (4) \\
\end{array}
\]

Entries (1) and (4) are correct decisions.

- **1) True**
- **2) False**

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Examine the given statement, then express the null hypothesis Ho and the alternative hypothesis H1 in the symbolic form: (1) The mean weight of women who won a beauty pageant is equal to 120 lbs. (2) There are more then 97% of LBCC students have computers. (3( There are at least 50% of LBCC students have a job while studying>
1.) Create a set of hypotheses for a test.
If the researcher wants to do a 2 tailed hypothesis test based on the data to generalize the relationship, what would the null and alternative hypothesis be? (in words and symbol notation).
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The assumption, "The children who attend academic after-school programs have higher grades than those children who do not attend after-school programs" is an example of a/n: Alternative Hypothesis (H₁) O Null Hypothesis (Ho) Ordinal statement O None of the given choices
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You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Observed Expected Frequency Category Frequency A 13 В 21 15 11 E 19 (a) Determine the null and alternative hypotheses. 1 O Ho: PA = PB = Pc = Pp = Pe %3D %3D 5 Ha: At least one proportion is different O Ho: PA = PB = Pc = Pp = PE Ha: At least one proportion is different O Ho:The catagories are independent Ha: The categories are dependent (b) What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places) (c) What are the degrees of freedom for this test? d.f.= (d) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = (e) Is the p-value less than a? O yes O no
Several people from different ethnicities were asked whether we should reopen public schools in the wake of COVID-19. The opinions were as follows: Favor Oppose Neutral Black 23 ( ) 18 ( ) 11 ( ) Hispanic 26 ( ) 32 ( ) 5 ( ) White 18 ( ) 24 ( ) 15 ( ) Can we say that opinion is independent of ethnicity? (Use a = .05) Type of Test: Hypotheses: P-value = Decision: In a sentence, what does your decision mean? Place the expected numbers of people in the respective parentheses. Round to the nearest whole person.
Let’s assume the average income for all majors in the School of Engineering is $80,000. However, the chair of the Computer Science department thinks their students earn more than that. Please choose the appropriate null and alternative hypotheses if the chair wanted to test this belief. a. H0: u <=80,000 Ha: u > 80,000 b. H0: u= 80000 Ha: u not= 80000 c. H0: u >80000 Ha: u < 80000 d. H0: u >80000 Ha: < 80000 e. None of the above.
chapter 11
4
Consider the following table in reference to a hypothesis test: Ho True Ho false (1) (3) Accept Ho Reject Ho (2) (4) A Type I error occurs if entry (3) occurs. 1) True 2) False

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