On average is the younger sibling's IQ different from the older sibling's IQ? Ten sibling pairs were given IQ tests. The data are shown below. IQ Scores Younger 103 102 95 90 98 92 108 86 105 95 Sibling Older 99 Sibling 85 72 95 89 110 75 108 91 86 Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Но: Select an answer ? Select an answer O (please enter a decimal) H1: Select an answer ? Select an answer (Please enter a decimal) b. The test statistic ? C (please show your answer to 3 decimal places.) c. The p-value (Please show your answer to 4 decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
On average is the younger sibling's IQ different from the older sibling's IQ? Ten sibling pairs were given IQ
tests. The data are shown below.
IQ Scores
Younger
103 102 9590 98 92 108 86 105 95
Sibling
Older
99
Sibling
86 85 72 95 89 110 75 108 91
Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance?
For this study, we should use
Select an answer
a. The null and alternative hypotheses would be:
Ho:
O (please enter a decimal)
Select an answer
?
Select an answer
H1:
Select an answer
?
Select an answer
O (Please enter a decimal)
b. The test statistic ?
(please show your answer to 3 decimal places.)
||
с. The p-value %3
d. The p-value is ?
(Please show your answer to 4 decimal places.)
e. Based on this, we should Select an answer
O the null hypothesis.
f. Thus, the final conclusion is that ...
The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that
the population mean IQ score for younger siblings is not the same as the population mean IQ score
for older siblings
The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to
conclude that the population mean IQ score for younger siblings is equal to the population mean IQ
Transcribed Image Text:On average is the younger sibling's IQ different from the older sibling's IQ? Ten sibling pairs were given IQ tests. The data are shown below. IQ Scores Younger 103 102 9590 98 92 108 86 105 95 Sibling Older 99 Sibling 86 85 72 95 89 110 75 108 91 Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: O (please enter a decimal) Select an answer ? Select an answer H1: Select an answer ? Select an answer O (Please enter a decimal) b. The test statistic ? (please show your answer to 3 decimal places.) || с. The p-value %3 d. The p-value is ? (Please show your answer to 4 decimal places.) e. Based on this, we should Select an answer O the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean IQ score for younger siblings is not the same as the population mean IQ score for older siblings The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean IQ score for younger siblings is equal to the population mean IQ
e. Based on this, we should Select an answer
O the null hypothesis.
f. Thus, the final conclusion is that ...
The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that
the population mean IQ score for younger siblings is not the same as the population mean IQ score
for older siblings
The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to
conclude that the population mean IQ score for younger siblings is equal to the population mean IQ
score for older siblings.
The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude
that the population mean IQ score for younger siblings is not the same as the population mean IQ
score for older siblings.
OThe results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that
the ten younger siblings' IQ scores are not the same on average than the ten older siblings' IQ
scores.
g. Interpret the p-value in the context of the study.
OIf the sample mean IQ score for the 10 younger siblings is the same as the sample mean IQ score for
the 10 older siblings and if another 10 sibling pairs are given an IQ test then there would be a 1.92%
chance of concluding that the mean IQ score for the 10 younger siblings differs by at least 6.4 points
from the mean IQ score for the 10 older siblings.
OThere is a 1.92% chance that the mean IQ score for the 10 younger siblings differs by at least 6.4
points from the mean IQ score for the 10 older siblings.
OThere is a 1.92% chance of a Type I error.
OIf the population mean IQ score for younger siblings is the same as the population mean IQ score
for older siblings and if another 10 sibling pairs are given an IQ test then there would be a 1.92%
chance that the mean IQ score for the 10 younger siblings would differ by at least 6.4 points from
the mean IQ score for the 10 older siblings.
Transcribed Image Text:e. Based on this, we should Select an answer O the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean IQ score for younger siblings is not the same as the population mean IQ score for older siblings The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean IQ score for younger siblings is equal to the population mean IQ score for older siblings. The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean IQ score for younger siblings is not the same as the population mean IQ score for older siblings. OThe results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the ten younger siblings' IQ scores are not the same on average than the ten older siblings' IQ scores. g. Interpret the p-value in the context of the study. OIf the sample mean IQ score for the 10 younger siblings is the same as the sample mean IQ score for the 10 older siblings and if another 10 sibling pairs are given an IQ test then there would be a 1.92% chance of concluding that the mean IQ score for the 10 younger siblings differs by at least 6.4 points from the mean IQ score for the 10 older siblings. OThere is a 1.92% chance that the mean IQ score for the 10 younger siblings differs by at least 6.4 points from the mean IQ score for the 10 older siblings. OThere is a 1.92% chance of a Type I error. OIf the population mean IQ score for younger siblings is the same as the population mean IQ score for older siblings and if another 10 sibling pairs are given an IQ test then there would be a 1.92% chance that the mean IQ score for the 10 younger siblings would differ by at least 6.4 points from the mean IQ score for the 10 older siblings.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman