Question

Consider the observations taken on the continuous random variable Y given below. Graph the data using an appropriate plot. Comment on the key features of the graph. Assess the normality of the data set. What do you conclude? Compute the 5-number summary. Treat the sample mean and sample standard deviation as if they are the true population mean and standard deviation. Find P (Y > 90). Treat the sample mean and sample standard deviation as if they are the true population mean and standard deviation. With a sample size of n = 50, what is the sampling distribution of the sample average? For a sample of size n = 50, find P(Y > 88.73).

Observation	y
1	87.08
2	89.61
3	85.22
4	83.32
5	84.82
6	83.62
7	92.42
8	88.35
9	87.13
10	85.25
11	89.61
12	86.71
13	83.28
14	94.99
15	87.79
16	92.85
17	84.81
18	84.35
19	89.09
20	90.66
21	91.34
22	91.80
23	85.62
24	86.88
25	86.40
26	90.11
27	88.93
28	86.29
29	90.68
30	85.04
31	85.28
32	85.71
33	92.89
34	91.16
35	87.45
36	84.90
37	91.95
38	93.79
39	89.28
40	90.75
41	85.39
42	90.27
43	86.13
44	85.13
45	82.04
46	89.52
47	87.20
48	87.35
49	86.70
50	93.00

Answer 1