Please show me how to use the Graphic cal to find the T stat and P-Value. Thanks

Question

Please show me how to use the Graphic cal to find the T stat and P-Value. Thanks

C) Use technology to construct a 90 %.

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) 30 25 30 30 34 29 23 43 29 35 Actor (years) 6337 34 3632 3748 4335 38 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, d is the m ean 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 minu the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: d - 0 year(s) H4: d

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Actress and Actor
H0 : D = 0
HA : D < 0
Hypothesis test results:

90% confidence interval results:

Hence,

Test statistic = -2.69

P - value = 0.0123

90% confidence interval rounded off to 1 decimal places: (-16.0, -3.0)

Difference Mean Std. Err. DF T-Stat P-value Actress - Actor -9.5 3.5284558 9 -2.692396 0.0123

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