6. Suppose we obeerve Yi,...Yn from a normal distribution with unknown parameters such that Y 24,...
6 and 7 6. Suppose we observe Y...Yn from a normal distribution with alaiuctess n 15 (a) Find the rejection region of a level a 0.05 test of Ho 20 vs. H20. Would this test reject with the given data? (b) Find the rejection region of a level a-0.05 test of H0 : 20 vs. Hi : > 20. Would this test reject with the given data? (c) Will the p-value for the given data be smaller in part (a)...
6. Suppose we observe Y,... Yn from a normal distribution with unknown parameters such that Y 24, s2 36, and n 15. (a) Find the rejection region of a level α-0.05 test of H0 : μ-20 vs. H1 : μ * 20. Would this test reject with the given data? (b) Find the rejection region of a level α -0.05 test of Ho : μ < 20 vs. H1 : μ > 20 would this test reject with the given...
7. Briefly describe a problem where linear regression might be of use. It should be an example with a continuous response variable and at least one continuous predictor. This may be an example you make up, or something you see in some published material or on the internet. Be sure to describe the response variable and predictor variable(s), and the substantive meaning of a linear relationship between them.
5. Suppose we observe Y Yn from a normal distribution with unknown parameters such that ' 20, s2 = 16, and n= 10. (a) Find a 95% confidence interval for (b) Now suppose n-1000, with the sarne value of P and 8. Find a 95% confidence interval for μ. (c) Would your answer to (a) or (b) change if the data were not from a normal distribution?
Need help with stats true or false questions Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% confidence interval for A In this case, a t-test with significance level 1% rejects the null hypothesis Ho : A-0 against a two sided alternative. b) Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters c)...
Suppose we have data on the number of U.S. recruits who were rejected for service in a war against Spain because they did not have enough teeth. We wish to compare the rejection rate for recruits who were under the age of 20 with the rate for those who were 40 or over. To run a logistic regression for this setting, we define an indicator explanatory variable x with values 0 for age under 20 and 1 for age 40...
Suppose we have data on the number of U.S. recruits who were rejected for service in a war against Spain because they did not have enough teeth. We wish to compare the rejection rate for recruits who were under the age of 20 with the rate for those who were 40 or over. To run a logistic regression for this setting, we define an indicator explanatory variable x with values 0 for age under 20 and 1 for age 40...
Problem 1 (Short Answer) Answer the following questions in 2-4 sentences: a) Describe how uncertainty plays a role in engineering measurements and experiments b) Explain what the variance of a dataset or random variable represents. c) Explain why normal distributions and normal random variables are used very commonly in engineering practice Describe what is meant by the rejection region of an alternative hypothesis, and sketch the rejection regions for the right-sided, left-sided, and two-sided alternatives d) Problem 2 (Health Data...
24. If the population mean is 0 and the population variance o, 1 (10 points) What is the P (z> 3) a. What is the P (z<2) b. What is the P (-1.5<z <3)? c. What is the P (-2.33cz < 1.25)? d. e. What is the P (-2.33<z and >1.25)? 25. If the population mean is 115 and the population variance σ, 100 (10 points) What is the P (z > 120) a. b. What is the P (2<150)?...
1. A section of the printout for a multiple regression model attempting to predict results in an RMIT maths subject is shown below. The variables ATAR score, MathsReady test score, attendance at SLC Drop-in and hours of study per week were considered. The 95% confidence interval for the intercept is [1.24, 18.22] or 1.24 - 18.22. A variable is considered a significant predictor if the 95% confidence interval does not contain zero. Which of the variables ‘ATAR score’, ‘MathsReady test...