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Hunter-Best [27]
3 years ago
6

The following data lists the ages of a random selection of actresses when they won an award in the category of Best​ Actress, al

ong 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 31 32 26 32 28 29 43 29 32 Actor (years )62 34 32 41 26 33 47 42 40 39 a. Use the sample data with a 0.05 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, mu Subscript d 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?
Mathematics
1 answer:
Wittaler [7]3 years ago
7 0

Answer:

Null Hypothesis \mu_{d}=0 years

Alternative hypothesis \mu_{d} years

Step-by-step explanation:

Hypothesis is a tentative guess. In a null hypothesis, H_{o} we state that there's no statistical significance between the variables. For alternative hypothesis, H_{1} it's stated that there's significant statistical relation between the provided variables. In this case, the null Hypothesis is \mu_{d}=0 years and the alternative hypothesis is \mu_{d} years

We can decide to accept or reject either null hypothesis or alternative hypothesis

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