A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowledge of the correct answers to any of the questions.

She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box.

She randomly selects one ball for each question and replaces the ball in the box.

The marking on the ball will determine her answer to the question.

There are five multiple choice questions on the exam.

What is the probability that she will get

a. Five questions correct?

b. At least four questions correct?

c. No questions correct?

d. No more than two questions correct?

The null and alternate hypotheses are: h0: μ1 ≤ μ2 h1: μ1 > μ2 a random sample of 22 items from the first population showed a mean of 113 and a standard deviation of 12. a sample of 16 items for the second population showed a mean of 99 and a standard deviation of 6. use the 0.01 significant level. find the degrees of freedom for unequal variance test. (round down your answer to the nearest whole number.) state the decision rule for 0.010 significance level. (round your answer to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? use the 0.01 significance level.