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) 28 Actor (years) 56 Identify the test statistic. 31 33 30 27 38 23 39 40 33 35 26 43 33 52 37 34 42 36 D 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 less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that actresses are generally younger when they won the award than actors.

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) 27 Actor (years) 61 29 35 28 31 36 39 36 33 25 27 34 47 41 41 31 37 35 D 43 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, H 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= 0 year(s) H₁ Hd< 0 year(s) (Type integers or decimals. Do not round.)…

The following data shows the results for 20 students in one of the post graduate unit.42 66 67 71 78 62 61 76 71 6761 64 61 54 83 63 68 69 81 53Based on the information given you are required to Compute the mean, median and mode.

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) 26 Actor (years) 26 32 28 38 29 29 45 27 31 D 60 37 40 40 28 36 50 35 41 43 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, Hd 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) (Type integers or decimals. Do not round.)

The following scores were obtained by eleven soccer players in a goal-shoot competition: 5,3, 6, 8,7, 8, 3, 11,6, 3, 2 What is the median of these scores 3 8 6 11

Determine what the key terms refer to in the following study. We want to know the average (mean) amount of money first year college students spend at ABC College on school supplies that do not include books. We randomly surveyed 100 first year students at the college. Three of those students spent $150, $200, and $225, respectively.