The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 31 25 29 30 Actor (years) 66 39 40 38 10 Pd vyoara) H₁ H0 year(s) (Type integers or decimals. Do not round.) Identify the test statistic. t= -3.00 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.007 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that actresses are generally younger when they won the award than actors. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is year(s) << year(s) (Round to one decimal place as needed.) w an example 33 25 25 42 28 35 29 34 50 37 39 44 Get more help- APE 20 tv 1740 MacBook Air Clear all 48 Check answer
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 31 25 29 30 Actor (years) 66 39 40 38 10 Pd vyoara) H₁ H0 year(s) (Type integers or decimals. Do not round.) Identify the test statistic. t= -3.00 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.007 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that actresses are generally younger when they won the award than actors. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is year(s) << year(s) (Round to one decimal place as needed.) w an example 33 25 25 42 28 35 29 34 50 37 39 44 Get more help- APE 20 tv 1740 MacBook Air Clear all 48 Check answer
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best
Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below.
5
w an example Get more help.
W
10. Hd
yara
H₁: H0 year(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= -3.00 (Round to two decimal places as needed.)
Identify the P-value.
P-value 0.007 (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that actresses are generally younger when
they won the award than actors.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is year(s) << year(s).
(Round to one decimal place as needed.)
20
Actress (years) 31
Actor (years) 66 39 40
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Transcribed Image Text:The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best
Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below.
5
w an example Get more help.
W
10. Hd
yara
H₁: H0 year(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= -3.00 (Round to two decimal places as needed.)
Identify the P-value.
P-value 0.007 (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that actresses are generally younger when
they won the award than actors.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is year(s) << year(s).
(Round to one decimal place as needed.)
20
Actress (years) 31
Actor (years) 66 39 40
ad
X
H
#
3
E
D
25 29 30 33 25 25 42 28 35 D
34 50 37 39 44
38
29
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![The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best
Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below.
!
F2
Actress (years) 31 25 29 30
Actor (years) 66 39 40 38
a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the
Best Actresses are generally younger than Best Actors).
X
f
w an example. Get more help -
In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the
null and alternative hypotheses for the hypothesis test?
Ho: Hd 0 year(s)
H₁: H0 year(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= -3.00 (Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.007 (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is less than or equal to the significance level. reiect the null hypothesis. There is sufficient evidence to support the claim that actresses are generally vounder when
#
3
E
D
80
F3
C
$
4
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drew](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54fd8377-0ae5-40e9-ab89-6e4eb633edd6%2F39dd1c2e-d533-4544-89cc-d298c17c7087%2Fu8cmxjn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best
Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below.
!
F2
Actress (years) 31 25 29 30
Actor (years) 66 39 40 38
a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the
Best Actresses are generally younger than Best Actors).
X
f
w an example. Get more help -
In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the
null and alternative hypotheses for the hypothesis test?
Ho: Hd 0 year(s)
H₁: H0 year(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= -3.00 (Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.007 (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is less than or equal to the significance level. reiect the null hypothesis. There is sufficient evidence to support the claim that actresses are generally vounder when
#
3
E
D
80
F3
C
$
4
R
20
F4
F
33 25 25
29 34 50
Q
V
%
5
#
FS
T
42 28 35 D
37 39 44
G
B
6
tv
MacBook Air
F6
Y
H
7
ONZA
N
84
F7
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8
M
DII
FB
1
K
(
9
<
I
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FO
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command
O
.
F10
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:
;
I
option
Clear all
In 8
{
[
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F11
1
+
=
I
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Check answer
F12
}
]
delete
1
return
shift
drew
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