Question

home / study / math / statistics and probability / statistics and probability questions and answers / 23. construct a 95% confidence interval for data sets a and b. data sets a and b are dependent. ...

Question: 23. Construct a 95% confidence interval for data sets A and B. Data sets A and B are dependent. ...

23. Construct a 95% confidence interval for data sets A and B. Data sets A and B are dependent. Round to the nearest tenth.

A |
:30 |
28 |
47 |
43 |
31 |
||

B |
:28 |
24 |
25 |
35 |
22 |

A.

( − 0.7,18.7)

B.

( − 1.3,9.0)

C.

( − 0.1,12.8)

D.

( − 15.3,15.4)

22. Construct a 95% confidence interval for μ1−μ2. Two samples are randomly selected from normal populations. The sample statistics are given below.

Assume that σ2/1=σ2/2.

n1= 11, n2= 18, x1= 4.8, x2= 5.2, s1= 0.76,s2=0.51

A.

( − 4.152,3.981)

B.

( − 0.883,0.083)

C.

( − 1.762,1.762)

D.

( − 2.762,2.762)

21. Compute the standardized test statistic, X2 , to test the claim σ2=30.1 if n= 12, s2=25.2, and α=0.05.

A.

0.492

B.

12.961

C.

9.209

D.

18.490

20. Find the critical value and rejection region for the type of t-test with level of significance (α and sample size n).

Two-tailed test, α=0.1, n=23

A.t0= −1.717 , t0=1.717 ; t<minus−1.717 , t>1.717

B.t0=−1.714, t0=1.714 ; t<−1.714 , t>1.714

C.t0= −1.321 , t0=1.321 ; t<−1.321, t>1.321

D.t0=1.717; t>1.717

19. Suppose you want to test the claim that μ1>μ2. Two samples are randomly selected from normal populations. The sample statistics are given below. Assume that σ2/1≠σ2/2. At a level of significance of α=0.01 , when should you reject H0 ?

n1= 18, n2= 13, x1=540 , x2=525 , s1= 40, s2=25

A.

Reject H0 if the standardized test statistic is greater than 1.699.

B.Reject H0 if the standardized test statistic is greater than 2.179.

C.Reject H0 if the standardized test statistic is greater than 3.055.

D.Reject H0 if the standardized test statistic is greater than 2.681.

18. Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.

Claim: μ≠43 ; α= 0.05; σ=2.7

Sample statistics: x=42.1, n=35

A.

Fail to reject H0. There is not enough evidence at the 5% level of significance to support the claim.

B.

Reject H0. There is enough evidence at the 5% level of significance to support the claim.

C.

There is not enough information to decide.

17. Find the critical X2 -values to test the claim σ2=4.3 if n=12 and α=0.05.

A.

3.816, 21.920

B.

4.575, 19.675

C.

3.053, 24.725

D.

2.603, 26.757

Answer #1

23) Correct answer: Option (B)

95% Confidence interval:

-1.281788 < µ1-µ2 < 19.28179

22)Correct answer: Option (B)

95% Confidence interval:

-0.8825882 < µ1-µ2 < 0.0825882

21)Correct answer: Option (C)

20) Correct answer: Option (A.) t0= −1.717 , t0=1.717 ; t<minus−1.717 , t>1.717

18)

Test Statistic, z: (35-43) / (2.7/SQRT(35)) = -1.9720

Critical z: ±1.9600

P-Value: 0.0486

Here p-value < alpha 0.05 and Z value is not lies between Z critical values so reject H0

Correct answer: Reject H0. There is enough evidence at the 5% level of significance to support the claim.

17) Correct answer: (A)

Lower Critical ChiSq: 3.815745

Upper Critical ChiSq: 21.92007

STA2023
MULTIPLE CHOICE. Choose the one alternative that best completes
the statement or answers the question.
Provide an appropriate response.
1) The P-value for a hypothesis test is P = 0.029. Do you reject or
fail to reject H0 when the level of significance is ΅
= 0.01?
A) reject H0
B) not sufficient information to decide
C) fail to reject H0
2) The P-value for a hypothesis test is P = 0.085. Do you reject or
fail to reject...

home / study / math / statistics and probability / statistics
and probability questions and answers / A 0.1 Significance Level Is
Used For A Hypothesis Test Of The Claim That When Parents Use A
...
Your question has been answered
Let us know if you got a helpful answer. Rate this
answer
Question: A 0.1 significance level is used for a
hypothesis test of the claim that when parents use a parti...
A 0.1 significance
level is used for...

home / study / math / statistics and probability / statistics
and probability questions and answers / Sample Question: A Major
DVD Rental Chain Is Considering Opening A New Store In An Area That
...
Question: Sample question: A major DVD rental chain is
considering opening a new store in an area that curr...
Sample question:
A major DVD rental chain is considering opening a new store in
an area that currently
does not have any such stores. The chain...

home / study / math / statistics and probability / statistics
and probability questions and answers / with all the fad diets
advertised on tv, a researcher wanted to know if there was a
significant ... Question: With all the fad diets advertised on TV,
a researcher wanted to know if there was a significant d... Edit
question With all the fad diets advertised on TV, a researcher
wanted to know if there was a significant difference in weight loss...

Test the claim about the population mean μ at the level of
significance α. Assume the population is normally distributed.
Write out null and alternative hypotheses, your critical t-score
and your t-test statistic. Decide whether you would reject or fail
to reject your null hypothesis.
Claim μ ≥ 13.9
α = 0.05
Sample statistics: x̅ = 13, s = 1.3, n = 10
H0:
Ha:
t0:
t-test statistic:
Decision:

home / study / math / statistics and probability / statistics
and probability questions and answers / are women's feet getting
bigger?retailers in the last 20 years have had to increase their
... Question: Are women's feet getting bigger?Retailers in the last
20 years have had to increase their stock o... Are women's feet
getting bigger?Retailers in the last 20 years have had to increase
their stock oflarger sizes. Wal-Mart Stores, Inc., and Payless
ShoeSource, Inc.,have been aggressive in stocking...

home / study / math / statistics and probability / statistics
and probability questions and answers / use the appropriate test to
determine if the effect of galleys for a manuscript (x) on the
...
Question: Use the appropriate test to determine if the
effect of galleys for a manuscript (X) on the total ...
Use the appropriate test to determine if the effect of galleys
for a manuscript (X) on the total dollar cost of correcting
typographical errors (Y)...

home / study / math / statistics and probability / statistics
and probability questions and answers / with all the fad diets
advertised on tv, a researcher wanted to know if there was a
significant ... Question: With all the fad diets advertised on TV,
a researcher wanted to know if there was a significant d... Edit
question With all the fad diets advertised on TV, a researcher
wanted to know if there was a significant difference in weight loss...

home / study / math / statistics and probability / statistics
and probability questions and answers / there are 6 numbered balls
in a bag. each ball has a distinct number and the numbers are in
... Your question has been answered Let us know if you got a
helpful answer. Rate this answer Question: There are 6 numbered
balls in a bag. Each ball has a distinct number and the numbers are
in {1, 2... There are 6 numbered...

home / study / math / statistics and probability / statistics
and probability questions and answers / for a certain wine, the
mean ph (a measure of acidity) is supposed to be 3.35 with a known
...
Question: For a certain wine, the mean pH (a measure of acidity)
is supposed to be 3.35 with a known standa...
For a certain wine, the mean pH (a measure of acidity) is
supposed to be 3.35 with a known standard deviation of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 1 minute ago

asked 8 minutes ago

asked 36 minutes ago

asked 49 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago