Statistics and Probability Answers

A. Using the t-table, give the confidence coefficients for each of the following.

1.n=9, 95% confidence

2. n=11, 95% confidence

3. n=24, 95% confidence

4.n=21, 95% confidence

5. n=21, 99% confidence

From past experience, a company has found that in a box of four triple-A batteries, 74% contain no defective battery, 7% contain one defective battery, 4% contain two defective batteries, 6% contain three defective batteries, and 9% contain all defective batteries. Calculate the mean, variance, and standard deviation for the defective batteries

a principal at a school.claims that the students in his school are above average intelligence. A random sample of forty student's IQ score have a mean of 112.5. the mean population IQ is 100 with a standard deviation of 15. use the 5% level of significance.

Which of the following events are equal?

(a) A = {1, 3};

(b) B = {x | x is a number on a die};

(c) C = {x | x2 − 4x +3=0};

(d) D = {x | x is the number of heads when six coins

are tossed}.

Construct a Venn diagram to illustrate the pos-

sible intersections and unions for the following events

relative to the sample space consisting of all automo-

biles made in the United States.

F : Four door, S : Sun roof, P : Power steering.

If an experiment consists of throwing a die and

then drawing a letter at random from the English

alphabet, how many points are there in the sample

space?

If a multiple-choice test consists of 5 questions,

each with 4 possible answers of which only 1 is correct,

(a) in how many different ways can a student check off

one answer to each question?

(b) in how many ways can a student check off one

answer to each question and get all the answers

wrong?

In how many ways can 5 different trees be

planted in a circle?

Which of the following events are equal?

(a) A = {1, 3};

(b) B = {x | x is a number on a die};

(c) C = {x | x2 − 4x +3=0};

(d) D = {x | x is the number of heads when six coins

are tossed}.