Question 5: Which of the following distributions does not have a symmetric form? (a) Z~N(0,1) (c) t-distribution (b) x² distribution (d) Uniform distribution

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Question 5: Which of the following distributions does not have a symmetric form?
(a) Z~N(0,1)
(c) t-distribution
(b) x? distribution
(d) Uniform distribution
Question 6: Which of the following statements is true?
(a) The expected value of a discrete random variable X, does not necessarily have to be one
of the X values.
(b) In hypothesis testing, if type II Error increases, power of the test will also increase.
(c) According to Bayes' rule, P(B|A)P(B) = P(A|B)P(A)
(d) If Covariance of two random variables is zero, they are statistically independent.
Question 7: In a hypothesis test, the test p-value is found to be 0.015. What is your conclusion?
(a) We reject the null hypothesis
(c) There is not enough information for a conclusion
(b) We fail to reject the null hypothesis (d) We accept the null hypothesis
Question 8: A manufacturer of a certain brand of chips claims that the average saturated fat
content does not exceed 1.8 grams per serving. Which of the following states the correct null and
alternative hypothesis, and where is the critical region located?
(a) Ho: µ = 1.8 and H,: µ < 1.8, and the critical region is on the lower tail of the distribution
(b) Ho: µ = 1.8 and H1: µ > 1.8, and the critical region is on the lower tail of the distribution
(c) Ho: µ = 1.8 and H1: µ < 1.8, and the critical region is on the upper tail of the distribution
(d) Ho:µ = 1.8 and H1: µ > 1.8, and the critical region is on the upper tail of the distribution
Question 9: A hypothesis test results in the rejection of the null hypothesis at significance level
a=0.05. What is the result if the test is redone at significance level a=0.01, with all other test
parameters remaining the same?
(a) The null hypothesis is accepted
(c) The null hypothesis may not be rejected
(b) The null hypothesis is still rejected
(d) None of the above
Question 10: Of the following scenarios, which produces the narrowest confidence interval?
(a) 90% confidence level with n=50
(c) 80% confidence level with n=50
(b) 80% confidence level with n=100
(d) 90% confidence level with n=100
Transcribed Image Text:Question 5: Which of the following distributions does not have a symmetric form? (a) Z~N(0,1) (c) t-distribution (b) x? distribution (d) Uniform distribution Question 6: Which of the following statements is true? (a) The expected value of a discrete random variable X, does not necessarily have to be one of the X values. (b) In hypothesis testing, if type II Error increases, power of the test will also increase. (c) According to Bayes' rule, P(B|A)P(B) = P(A|B)P(A) (d) If Covariance of two random variables is zero, they are statistically independent. Question 7: In a hypothesis test, the test p-value is found to be 0.015. What is your conclusion? (a) We reject the null hypothesis (c) There is not enough information for a conclusion (b) We fail to reject the null hypothesis (d) We accept the null hypothesis Question 8: A manufacturer of a certain brand of chips claims that the average saturated fat content does not exceed 1.8 grams per serving. Which of the following states the correct null and alternative hypothesis, and where is the critical region located? (a) Ho: µ = 1.8 and H,: µ < 1.8, and the critical region is on the lower tail of the distribution (b) Ho: µ = 1.8 and H1: µ > 1.8, and the critical region is on the lower tail of the distribution (c) Ho: µ = 1.8 and H1: µ < 1.8, and the critical region is on the upper tail of the distribution (d) Ho:µ = 1.8 and H1: µ > 1.8, and the critical region is on the upper tail of the distribution Question 9: A hypothesis test results in the rejection of the null hypothesis at significance level a=0.05. What is the result if the test is redone at significance level a=0.01, with all other test parameters remaining the same? (a) The null hypothesis is accepted (c) The null hypothesis may not be rejected (b) The null hypothesis is still rejected (d) None of the above Question 10: Of the following scenarios, which produces the narrowest confidence interval? (a) 90% confidence level with n=50 (c) 80% confidence level with n=50 (b) 80% confidence level with n=100 (d) 90% confidence level with n=100
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