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) 25 Actor (years) 29 27 37 29 23 45 33 40 36 31 37 50 43 41 30 32 32 D 60 40 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). In this example, Ha 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: Ha year(s) year(s) H1: H (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.)

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) 25 Actor (years) 29 27 37 29 23 45 33 40 36 31 37 50 43 41 30 32 32 D 60 40 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). In this example, Ha 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: Ha year(s) year(s) H1: H (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Need help finding these values

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.
32 D
41
29 27
Actress (years) 25
Actor (years)
30
37
29
23
45
32
60
33
40
36
31
37
50 43
40
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
less than 0 (indicating that the Best Actresses are generally younger than Best Actors).
mean
In this example, Ha 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: Ha
V year(s)
H1: Ha V year(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= (Round to two decimal places as needed.)

Identify the P-value.
P-value = (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is
| the significance level,
the null hypothesis. There
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) < Hd
| уear(s).
(Round to one decimal place as needed.)

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