1.)Find the range of the data set represented by the graph.

70

75

80

85

90

95

100

x

A dot plot has a horizontal axis labeled from 70 to 100 in increments of 1. The graph consists of a series of plotted points from left to right. The coordinates of the plotted points are as follows, where the label is listed first and the number of dots is listed second: 73, 1; 77, 2; 79, 1; 80, 4; 83, 1; 84, 2; 88, 4; 90, 2; 91, 2; 93, 1; 94, 1; 95, 1; 96, 1; 98, 1.

The range of the data set is enter your response here. (Simplify your answer.)

2.)Use technology to help you test the claim about the population mean, , at the given level of significance, , using the given sample statistics. Assume the population is normally distributed.

Claim: >1280; =0.03; =208.79. Sample statistics: x=1300.57, n=250

Identify the null and alternative hypotheses. Choose the correct answer below.

A.

H0: 1280

Ha: <1280

B.

H0: >1300.57

Ha: 1300.57

C.

H0: >1280

Ha: 1280

D.

H0: 1280

Ha: >1280

E.

H0: 1300.57

Ha: <1300.57

F.

H0: 1300.57

Ha: >1300.57

Calculate the standardized test statistic.

The standardized test statistic is enter your response here.

(Round to two decimal places as needed.)

Determine the P-value.

P=enter your response here (Round to three decimal places as needed.)

Determine the outcome and conclusion of the test.

Fail to reject

Reject

H0. At the 3% significance level, there

is

is not

enough evidence to

support

reject

the claim.

3.)A population has a mean =148 and a standard deviation =29. Find the mean and standard deviation of the sampling distribution of sample means with sample size n=45.

The mean is x=enter your response here

4.)The red blood cell counts (in millions of cells per microliter) for a population of adult males can be approximated by a normal distribution, with a mean of 5.3 million cells per microliter and a standard deviation of 0.4 million cells per microliter.

(a) What is the minimum red blood cell count that can be in the top 21% of counts?

(b) What is the maximum red blood cell count that can be in the bottom 11% of counts?

(a) The minimum red blood cell count is enter your response here million cells per microliter.

(Round to two decimal places as needed.)

(b) The maximum red blood cell count is enter your response here million cells per microliter.

(Round to two decimal places as needed.)

5.)A standard deck of cards contains 52 cards. One card is selected from the deck.

(a)

Compute the probability of randomly selecting a seven or five.

(b)

Compute the probability of randomly selecting a seven or five or three.

(c)

Compute the probability of randomly selecting a seven or diamond.

b. P(seven or five or three)=enter your response here (Round to three decimal places as needed.)

c. P(seven or diamond)=enter your response here (Round to three decimal places as needed.)

6.)State whether the standardized test statistic z indicates that you should reject the null hypothesis.

(a) z=1.349

(b) z=1.058

(c) z=1.163

(d) z=1.524

-4

0

4

z

z0=1.285

A normal curve is over a horizontal axis labeled z from negative 4 to 4 in increments of 1 and is centered on 0. Vertical line segment extends to the right of 0 from the horizontal axis to the curve at z 0 equals 1.285 . The area under the curve to the right of z 0 equals 1.285 is shaded.

(a) For zequals=1.3491.349, should you reject or fail to reject the null hypothesis?

A.

RejectReject Upper H 0H0 because z less than 1.285z<1.285.

B.

RejectReject Upper H 0H0 because z greater than 1.285z>1.285.

C.

Fail to rejectFail to reject Upper H 0H0 because z less than 1.285z<1.285.

D.

Fail to rejectFail to rejectUpper H 0H0 because z greater than 1.285z>1.285.

(b) For zequals=1.0581.058, should you reject or fail to reject the null hypothesis?

A.

RejectReject Upper H 0H0 because z greater than 1.285z>1.285.

B.

RejectReject Upper H 0H0 because z less than 1.285z<1.285.

C.

Fail to rejectFail to reject Upper H 0H0 because z less than 1.285z<1.285.

D.

Fail to rejectFail to reject Upper H 0H0 because z greater than 1.285z>1.285.

(c) For zequals=negative 1.1631.163, should you reject or fail to reject the null hypothesis?

7.)A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 265. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 30. At =0.13, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).

(a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below.

A.

H0: <260

Ha: 260 (claim)

B.

H0: 260

Ha: >260 (claim)

C.

H0: =260 (claim)

Ha: >260

D.

H0: 260 (claim)

Ha: >260

E.

H0: =260

Ha: >260 (claim)

F.

H0: 260 (claim)

Ha: <260

(b) Find the standardized test statistic z, and its corresponding area.

z=enter your response here (Round to two decimal places as needed.)

(c) Find the P-value.

P-value=enter your response here (Round to three decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis.

Reject H0

Fail to reject H0

(e) Interpret your decision in the context of the original claim.

At the 13% significance level, there

is

is not

enough evidence to

support

reject

the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260.

8.)Use the given statement to represent a claim. Write its complement and state which is H0 and which is Ha.

9

Find the complement of the claim.

equals=

less than or equals

greater than or equals

greater than>

not equals

less than<

9

Which is H0 and which is Ha?

A.

H0: 9

Ha: 9

B.

H0: <9

Ha: 9

C.

H0: 9

Ha: =9

D.

H0: 9

Ha: 9

E.

H0: =9

Ha: 9

F.

H0: 9

Ha: 9

G.

H0: 9

Ha: 9

H.

H0: 9

Ha: <9

I.

H0: 9

Ha: >

9.)The probability that a person in the United States has type B+ blood is 8%. Five unrelated people in the United States are selected at random. Complete parts (a) through (d).

(a) Find the probability that all five have type B+ blood.

The probability that all five have type B+ blood is enter your response here.

(Round to six decimal places as needed.)

(b) Find the probability that none of the five have type B+ blood.

The probability that none of the five have type B+ blood is enter your response here.

(Round to three decimal places as needed.)

(c) Find the probability that at least one of the five has type B+ blood.

The probability that at least one of the five has type B+ blood is enter your response here.

(Round to three decimal places as needed.)

(d) Which of the events can be considered unusual? Explain. Select all that apply.

A.

The event in part (b) is unusual because its probability is less than or equal to 0.05.

B.

The event in part (c) is unusual because its probability is less than or equal to 0.05.

C.

The event in part (a) is unusual because its probability is less than or equal to 0.05.

D.

None of these events are unusual.