6 and 7 6. Suppose we observe Y...Yn from a normal distribution with alaiuctess n 15...
6. Suppose we obeerve Yi,...Yn from a normal distribution with unknown parameters such that Y 24, 236, and (a) Find the rejection region of a level a-0.05 test of Ho : μ-20 vs. Hi :"t 20. Would this test reject with the (b) Find the rejection region of a level α-0.05 test of Ho : μ 20 vs. H: μ > 20, would this test reject with the given data? given data? (c) Will the p-value for the given data...
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.
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...
Suppose X1, .., Xn is a random sample from a N(0, a2) population, where variance o are known. Consider testing Ho : 0 = O0 vs. Hi 0 700 Q1(4pt): Using Likelihood Ratio Test (LRT) to obtain a level a test that rejects Ho if Уп(X — во) VП(х — во) <21-a/2 21-a/2 or о Q2(1pt): Is the two-sided test derived in 1) an uniformly most powerful test? If not, briefly state your reasons Q3 (1pt): Note that the test...
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...
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...
Name: Section Number To be graded assignments must be completed and submitted on the original book page Hypothesis Testing -As a Diagnostic Test ? Answer the following questions over the content material you just read or watched. 1. What is a false positive rate in the context of hypothesis testing? 2. What is the goal of hypothesis testing? 3. What is a Type I error, and how is it related to an "alpha level?" 4. What does it mean to...