Question

Bonus (5 points) Suppose that you are testing the following hypotheses: Ho: 4 = 10 and H :> 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 <u< 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the mean exceeds zero. If we know the population standard deviation and we use the t-test instead of the Z-test, a) We will increase the probability of type II error. b) We will increase the probability of type I error. c) We will have the same conclusion d) None of the above The chi-square goodness-of-fit test can be used to test for: a) significance of sample statistics b) difference between population means c) normality d) probability What is the purpose of a goodness-of-fit test? a) To assess whether there is a significant difference between a collection of categorical data b) To find relationships in the data c) To assess whether several categorical variables are related d) To assesses whether the central tendency, variability and distribution of sample is different from that of the population Suppose you are testing the following hypothesis pair: Ho: 11 S 100 vs. H1:4 > 100. A sample average of less than 100 would sometimes lead to a error but would never lead to a error. a) Type I; Type II b) Type II; Type I c) Type II; p-value d) p-value; Type II

Answer 1

1 ) D is correct option 2) A is correct option is correct option B is correct option 5) B is correct ophion