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14a. Find the probability 14b. Find the probability of rolling a 3 with a pair of dice. of rolling a 5, 6, 7 or 8 with a pair of dice.

14a. Find the probability 14b. Find the probability of rolling a 3 with a pair of dice. of rolling a 5, 6, 7 or 8 with a pair of dice.

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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14a. Find the probability of rolling a 3 with a pair of dice. 14b. Find the probability of rolling a 5, 6, 7 or 8 with a pair of dice. 15 A = (1, 3, 6, 7, 9) B=(3, 4, 8, 9). Create a Venn diagram illustrating An B. 16. Given the function f(x)=for 0 sxs8. a) Classify this function as either hypergeometric, exponential or uniform. b) Find p(x > 6) 17. Graph f(x) = 0.2e-0.2x 18. The mean cost of a 2016 Ford F150 is $20,000 with a standard deviation of $2,000. The mean cost of a 2016 Dodge Ram is $18,000 with a standard deviation of $1,600. Joe pays $17,000 for his Ford F150. Jo pays $16,000 for her Dodge Ram. Which of the two got the better deal? Show work. 19. The average bowling score in a tournament is 200 with a standard deviation of 12. Only those who averaged 1.5 standard deviations above the mean qualify for the finals. What is the minimum qualifying score? The Hypothesis test statistic choices for the next four problems are normal (z), student's (t), chi-square (x¹) and F distribution (F). You must choose which test statistic to use for each of the following situations. 20. Dr. No wants to know the mean weight of adult male walruses. No one knows the population standard deviation of walruses. He randomly chooses 45 walruses and weighs them. Which test statistic will he use? 21. Enzo claims that if you increase the octane of gasoline for your car, there will be a significant increase in horsepower. He randomly chooses 3 cars and tests the horsepower output for 87 octane gas, 89 octane gas, 91 octane gas and 95 octane gas. Which t statistic will he use? 22. A counselor wants to compare the acceptance rate of 4 year colleges for student-athletes versus non-student athletes. His research shows that student-athletes are accepted at a 34% rate and non-student-athletes are accepted at a 32% rate. Which test statistic will he use? 23. A casino boss thinks that a player snuck a loaded die into the craps game. He rolls it 240 times and then uses a hypothesis test to see if the die is loaded (biased). Which test statistic will he use? 24. No matter what test is used, it comes down to comparing a p-value with alpha. If the p-value=0.0345 and alpha= 0.05 what is your decision? 25. Conventional wisdom states that men and women have the same IQ. Bubba Bob thinks differently. a) State the null hypothesis. b) State the alternative hypothesis. 26. Professor Teal used a student's t distribution for his Masters thesis which was about estimating the population of Black Widow spiders in Northern California. His sample size was 72 Black Widow spiders. How many degrees of freedom will he use for his calculations? 27. Dr. Celsius performs an experiment and uses linear regression to arrive at the equation ŷ= 1.8x +32. The correlation coefficient was 0.99999. a) What does the correlation coefficient tell you about this line of best fit? b) If x= 40, then what is y? 28. If y = 5 and 9 = 8 and s= 1, is (2, 5) an outlier? 29. If p=0.77, then q =______ 30. True or false? ANOVA is an acronym for Analysis of variation.
Transcribed Image Text:14a. Find the probability of rolling a 3 with a pair of dice. 14b. Find the probability of rolling a 5, 6, 7 or 8 with a pair of dice. 15 A = (1, 3, 6, 7, 9) B=(3, 4, 8, 9). Create a Venn diagram illustrating An B. 16. Given the function f(x)=for 0 sxs8. a) Classify this function as either hypergeometric, exponential or uniform. b) Find p(x > 6) 17. Graph f(x) = 0.2e-0.2x 18. The mean cost of a 2016 Ford F150 is $20,000 with a standard deviation of $2,000. The mean cost of a 2016 Dodge Ram is $18,000 with a standard deviation of $1,600. Joe pays $17,000 for his Ford F150. Jo pays $16,000 for her Dodge Ram. Which of the two got the better deal? Show work. 19. The average bowling score in a tournament is 200 with a standard deviation of 12. Only those who averaged 1.5 standard deviations above the mean qualify for the finals. What is the minimum qualifying score? The Hypothesis test statistic choices for the next four problems are normal (z), student's (t), chi-square (x¹) and F distribution (F). You must choose which test statistic to use for each of the following situations. 20. Dr. No wants to know the mean weight of adult male walruses. No one knows the population standard deviation of walruses. He randomly chooses 45 walruses and weighs them. Which test statistic will he use? 21. Enzo claims that if you increase the octane of gasoline for your car, there will be a significant increase in horsepower. He randomly chooses 3 cars and tests the horsepower output for 87 octane gas, 89 octane gas, 91 octane gas and 95 octane gas. Which t statistic will he use? 22. A counselor wants to compare the acceptance rate of 4 year colleges for student-athletes versus non-student athletes. His research shows that student-athletes are accepted at a 34% rate and non-student-athletes are accepted at a 32% rate. Which test statistic will he use? 23. A casino boss thinks that a player snuck a loaded die into the craps game. He rolls it 240 times and then uses a hypothesis test to see if the die is loaded (biased). Which test statistic will he use? 24. No matter what test is used, it comes down to comparing a p-value with alpha. If the p-value=0.0345 and alpha= 0.05 what is your decision? 25. Conventional wisdom states that men and women have the same IQ. Bubba Bob thinks differently. a) State the null hypothesis. b) State the alternative hypothesis. 26. Professor Teal used a student's t distribution for his Masters thesis which was about estimating the population of Black Widow spiders in Northern California. His sample size was 72 Black Widow spiders. How many degrees of freedom will he use for his calculations? 27. Dr. Celsius performs an experiment and uses linear regression to arrive at the equation ŷ= 1.8x +32. The correlation coefficient was 0.99999. a) What does the correlation coefficient tell you about this line of best fit? b) If x= 40, then what is y? 28. If y = 5 and 9 = 8 and s= 1, is (2, 5) an outlier? 29. If p=0.77, then q =______ 30. True or false? ANOVA is an acronym for Analysis of variation.
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