Here are summary statistics for randomly selected weights of newborn​ girls: n=237​, x=29.4 ​hg, s=7.1 Construct

Here are summary statistics for randomly selected weights of newborn​ girls:

n=237​,

x=29.4

​hg,

s=7.1

1. Construct a confidence interval estimate of the mean. Use a

90​%

confidence level. Are these results very different from the confidence interval

28.2

hg<μ<31.2

hg with only

12

sample​ values,

x=29.7

​hg, and

s=2.8

​hg?

What is the confidence interval for the population mean

μ​?

nothing

hg<μ<nothing

hg ​(Round to one decimal place as​ needed.)

Are the results between the two confidence intervals very​ different?

A.

​Yes, because one confidence interval does not contain the mean of the other confidence interval.

B.

​No, because each confidence interval contains the mean of the other confidence interval.

C.

​Yes, because the confidence interval limits are not similar.

D.

​No, because the confidence interval limits are similar.

An online poll​ asked: "Do you believe the Loch Ness monster​ exists?" Among

20,294

​responses,

64​%

were​ "yes." Use a

0.05

significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to​ respond?

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A.

H0​:

p>0.5

H1​:

p=0.5

B.

H0​:

p=0.5

H1​:

p<0.5

C.

H0​:

p=0.5

H1​:

p>0.5

D.

H0​:

p=0.5

H1​:

p≠0.5

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is

nothing.

​(Round to two decimal places as​ needed.)

Identify the​ P-value for this hypothesis test.

The​ P-value for this hypothesis test is

nothing.

​(Round to three decimal places as​ needed.)

Identify the conclusion for this hypothesis test.

A.

Reject

H0.

There

is not

sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.

B.

Fail to reject

H0.

There

is not

sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.

C.

Reject

H0.

There

is

sufficient evidence to support the claim that most people believe that the Loch Ness monster exists.

D.

Fail to reject

H0.

There

is

sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.

How is the conclusion affected by the fact that Internet users who saw the question could decide whether to​ respond?

A.

Since only certain users are being allowed to​ respond, the conclusion is not valid.

B.

Since the sample size is sufficiently​ large, the conclusion is valid.

C.

Since any of the​ site's users are allowed to​ respond, the conclusion is valid.

D.

Since the sample is a​ voluntary-response sample, the conclusion might not be valid.