Actress Actor24 4043 4449 3263 5240 49 61 3622 5535 4141 3835 2930 3825 4233 5222 4446 3933 3945 6041 3927 4825 4027 5231 4780 3228 4154 5133 4261 4538 4335 6239 4532 4139 3521 6244 4433 3836 6028 4326 3435 4535 3737 4141 4150 5329 5030 4937 4933 3627 4138 3742 4260 5924 3531 3632 5025 5634 4334 6026 3429 4741 4354 3329 4232 3030 3729 3260 4245 3828 6228 4438 4562 3935 5742 56 Listed in the accompanying table are 73 ages of actresses and actors when they won Academy Awards for their performances. Each pair of ages is from the same year. Use the listed paired sample data, and assume that the samples are simple random samples and that thedifferences have a distribution that is approximately normal. Complete parts (a) and (b).Click the icon to view the Academy Award ages.a. Use a 0.10 significance level to test the claim that Oscar-winning actresses tend to be younger than Oscar-winning 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 actor's age minus the actress's age. What are the null and alternative hypotheses for the hypothesis test?Ho: HayearsyearsH₁: Ha(Type integers or decimals. Do not round.)Identify the test statistic.#(…)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 isthe significance level,the null hypothesis. Theresufficient evidence to support the claim that Oscar-winning actresses tend to be younger than Oscar-winning 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)

Question

Actress    Actor24    4043    4449    3263    5240    49   61    3622    5535    4141    3835    2930    3825    4233    5222    4446    3933    3945    6041    3927    4825    4027    5231    4780    3228    4154    5133    4261    4538    4335    6239    4532    4139    3521    6244    4433    3836    6028    4326    3435    4535    3737    4141    4150    5329    5030    4937    4933    3627    4138    3742    4260    5924    3531    3632    5025    5634    4334    6026    3429    4741    4354    3329    4232    3030    3729    3260    4245    3828    6228    4438    4562    3935    5742    56 Listed in the accompanying table are 73 ages of actresses and actors when they won Academy Awards for their performances. Each pair of ages is from the same year. Use the listed paired sample data, and assume that the samples are simple random samples and that thedifferences have a distribution that is approximately normal. Complete parts (a) and (b).Click the icon to view the Academy Award ages.a. Use a 0.10 significance level to test the claim that Oscar-winning actresses tend to be younger than Oscar-winning actors.In this example, &#34; 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 actor's age minus the actress's age. What are the null and alternative hypotheses for the hypothesis test?Ho: HayearsyearsH₁: Ha(Type integers or decimals. Do not round.)Identify the test statistic.#(…)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 isthe significance level,the null hypothesis. Theresufficient evidence to support the claim that Oscar-winning actresses tend to be younger than Oscar-winning 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) < d < year(s).(Type integers or decimals rounded to one decimal place as needed.)What feature of the confidence interval leads to the same conclusion reached in part (a)?Because the confidence interval includesHo.▼

Accepted Answer

Given is a data on the age of actors and actresses winning Academy Awards. We want to test if the…