Question

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 the differences have a distribution that is approximately normal. Complete parts​ (a) and​ (b).

Actress Actor
43 44
35 37
45 37
54 51
32 30
35 29
27 41
27 31
21 62
62 39
41 39
34 43
49 32
37 41
25 30
33 42
30 37
30 38
38 37
26 51
44 44
35 57
27 48
34 60
63 52
41 41
74 76
61 45
29 32
25 42
42 42
26 41
33 38
42 56
25 40
26 34
40 49
50 53
33 48
38 43
60 42
33 52
60 59
38 52
36 60
35 47
27 52
29 47
61 36
29 50
29 41
35 62
45 38
22 44
24 35
41 40
28 43
28 37
31 47
41 43
22 55
30 49
34 42
39 45
28 62
46 39
31 36
29 38
26 34
29 57
80 32
54 33
35 41

What is the T statistic??
What are the confidence intervals??
What is the P value??

Answer 1

Without the specific calculations from the dataset, which is not fully provided, it's not possible to determine the T statistic, confidence intervals, or P value for the paired sample t-test.

Step-by-step explanation:

To calculate the T statistic, confidence intervals, and P value, we need to conduct a paired sample t-test. However, because the full dataset is not included in the question, we cannot perform the analysis or provide these values. Normally, you would first calculate the differences between each pair of data points (actress and actor ages), compute the mean and standard deviation of these differences, determine the relevant degrees of freedom, and then perform the t-test using appropriate statistical software or a t-distribution table.

For the confidence intervals, you would determine the critical t-value for your desired confidence level and then construct the interval using the mean difference, the critical value, and the standard error of the mean difference. The P value is obtained from the t-test, which tells you the probability that the observed differences could occur under the null hypothesis.

Essentially, without the specific numbers generated from these calculations, I cannot provide the T statistic, confidence intervals, or P value.