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) 31 29 34 28 Actor (years) 59 40 39 40 34 26 28 42 27 33 30 32 54 40 41 43 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). O 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) H₁: H year(s) (Type integers or decimals. Do not round.) Identify the test statistic. t=3.07 (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? the significance level, the null hypothesis. There Since the P-value is won the award than actors. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is year(s)< < year(s). (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains sufficient evidence to support the claim that actresses are generally younger when they the null hypothesis.

The heights​ (to the nearest​ inch) of 30 males are shown below. Construct a frequency distribution and a frequency histogram of the data using 5 classes. Describe the shape of the histogram as​ symmetric, uniform, negatively​ skewed, positively​ skewed, or none of these.   67 76 70 68 72   68 65 63 76 69   66 72 66 66 69   73 62 62 71 73   70 72 71 65 68   66 74 72 68 69     ...   Question content area right Part 1 Construct a frequency distribution of the data using 5 classes. Use the minimum data entry as the lower limit of the first class. Use the smallest whole number class width possible.   Class Frequency Midpoint enter your response here   –enter your response here   enter your response here   enter your response here   enter your response here   –enter your response here   enter your response here   enter your response here   enter your…

The 2008 general social survey asked a nationally representative sample of 1324 adult americans to report how many hours of television they watch in a typical day. The resulting data are reported in the following table counts. What is the mean numbers of hours of tv watched?

Use the following data, which represent the English placement test scores of a sample of 30 students, to construct a frequency distribution with a first class of 472 – 492. Placement Test Scores Number of Students 472 - 492 529 527 476 532 588 493 – 513 488 494 559 492 483 514 - 534 555 565 519 541 516 574 482 500 474 541 535 – 555 573 543 595 580 488 556 – 576 514 528 488 524 559 577 - 597