Question 3

What is the best case for an estimator?

Group of answer choices

A. Low Variance and High Bias

B. High Variance and High Bias

C. High Variance and Low Bias

D. Low Variance and Low Bias

Question 4

Question 44pts

We conduct two hypothesis test. The first one results in p value less than alpha and the second one results in p value larger than alpha. What is the conclusion of the tests?

Group of answer choices

Test 1: We reject the null, Test 2: We fail to reject the null

Test 1: We reject the null, Test 2: We accept the null

Test 1: We accept the null, Test 2: We reject the null

Test 1: We fail to reject the null, Test 2: We reject the null

Question 5

How will the width of the confidence interval be impacted if we increase the confidence level from 90% to 95% ?

Group of answer choices

A. width of the Confidence interval gets larger

B. width of the Confidence interval stays the same

C. width of the Confidence interval gets smaller

Question 6

We are making a confidence interval for a meanwhen population variance is known. How will the width of the interval be impacted if we take a new sample whose sample mean increases compared to the older sample but everything else remains the same i.e., confidence level, sample size and population variance is the same.

Group of answer choices

A. width of the Confidence interval stays the same

B. width of the Confidence interval gets larger

C. width of the Confidence interval gets smaller

Question 7

We have a random sample of size n from a normal distribution with variance 1 and mean. The observed sample mean is 10.

What is the maximum likelihood estimator of1212

Group of answer choices

A. 20

B. 5

C. 3.16

D. 100