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The following data lists the ages of a random selection of actresses when they won...

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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 25 Actress years 30 Actor years 58 40 33 29 32 25 23 41 31 35 32 41 28 35 54 43 38 46 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 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 year s year s H Ha Type integers or decimals Do not round

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