A math test consists of 17 multiple choice questions,

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1-

A math test consists of 17 multiple choice questions,

each with five possible answers (a, b, c, d, e), only one of which is correct.

Assume that a student takes the test and randomly answers the questions.

Explain why this situtation describes a binomial experiment.  Be specific.

 

2-

A math test consists of 17 multiple choice questions,

each with five possible answers (a, b, c, d, e), only one of which is correct.

Assume that a student takes the test and randomly answers the questions.

What is the probability that the student will get no questions correct?

Round your answer to three decimal places.

 

3-

A  math test consists of 17 multiple choice questions,

each with five possible answers (a, b, c, d, e), only one of which is correct.

Assume that a student takes the test and randomly answers the questions.

Would it be unusual for the student to get no questions correct?  Explain.



4-

A math test consists of 17 multiple choice questions,

each with five possible answers (a, b, c, d, e), only one of which is correct.

Assume that a student takes the test and randomly answers the questions.

What is the probability that the student gets at least one question correct?

Round your answer to three decimal places.

 

5-

A math test consists of 17 multiple choice questions,

each with five possible answers (a, b, c, d, e), only one of which is correct.

Assume that a student takes the test and randomly answers the questions.

What is the probability that the student gets exactly five questions correct?

Round your answer to three decimal places.

 

6-

Use Table A-2 to answer the following questions.  Do not round your answers.

P(z<1.43) = 

P(z>-0.07) = 

P(-2.34<x<0.73) = 

 

7-

Individual M&M plain candies have weights that are normally distributed with

a mean weight of 0.8565 g and a standard deviation of 0.0518 g.

If you randomly select 1 M&M plain candy, what is the probability

that the candy will weigh less than 0.8535 g?

Round your answer to three decimal places.

 

8-

State the Central Limit Theorem.

Be sure to state all the givens and conclusions.

 

9-

Individual M&M plain candies have weights that are normally distributed with

a mean weight of 0.8565 g and a standard deviation of 0.0518 g.

If you randomly select 465 M&M plain candies, what is the probability

that their mean weight will be less than 0.8535 g?

Round your answer to three decimal places.

 

10-

Suppose you are going to test the claim that more than half of adults

prefer a window seat when they fly.

What is the claim in symbols?

a.

p is not equal to 0.05

b.

p > 0.5

c.

p = 0.5

d.

p < 0.5

 

11-

Suppose you are going to test the claim that more than half of adults

prefer a window seat when they fly.

What is the null hypothesis?

a.

p > 0.5

b.

p is not equal to 0.5

c.

p < 0.5

d.

p = 0.5

 

12-

Suppose you are going to test the claim that more than half of adults

prefer a window seat when they fly.

What is the alternative hypothesis?

a.

p > 0.5

b.

p is less than or equal to 0.5

c.

p < 0.5

d.

p = 0.5

 

 

13-

Suppose you are going to test the claim that more than half of adults

prefer a window seat when they fly.

What kind of hypothesis test would you use to test the claim?

a.

right-tailed

b.

left-tailed

c.

skewed-tailed

d.

two-tailed

 

 

14-

Suppose you are going to test the claim that more than half of adults

prefer a window seat when they fly.   

The results of a poll indicated that 492 of 806 adults preferred a 

window seat when they were flying.

Calculate the test statistic for this hypothesis test.

Round your answer to two decimal places.



 

15-

Suppose you are going to test the claim that more than half of adults

prefer a window seat when they fly with a significance level of 0.05.  

The results of a poll indicated that 492 of 806 adults prefered a 

window seat when they were flying.

What is your conclusion of the hypothesis test?

What is your conclusion about the original claim?

 

 

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