Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and BestActor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a0.10 significance level. Assume that the paired sample data is a simple random sample and that the differences have adistribution that is approximately normal.Actress's1528225525 DageActor's age 4649625440In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individualdifference d is defined as the actress's age minus the actor's age.Identify the test statistic.(Round to two decimal places as needed.)t =Identify the P-value.P-value =(Round to three decimal places as needed.)What is the conclusion based on the hypothesis test?V than the significance level,V sufficient evidence toSince the P-value isthe null hypothesis. Theresupport the claim that there is a difference between the ages of actresses and actors when they win the award.

Denote μ1 as the true mean of actress ages and μ2 as the true mean of actors ages. The hypotheses…

Answered: Listed below are ages of actresses and…

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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← 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. is 2: ? Actress (years) 27 27 Actor (years) 56 35 2 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). View an example 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: H0 year(s) H₁: H0 year(s) (Type integers or decimals. Do not round.) Identify the test statistic. t=…
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Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of cars each of the cars types. The data below displays the frontal crash test performance percentages. Test whether there are statistical differences in the frontal crash test performance for each type of car. Car Sizes Compact Cars Midsize Cars Full-Size Cars 95 95 93 98 98 97 87 98 92 99 89 92 99 94 84 94 88 87 99 93 88 98 99 89 How many pairs must be compared for follow-up t-tests?

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