In: Statistics and Probability
Use the Happy1 variable. Suppose someone claims the population mean is 55 and the standard deviation is 10.
Happy1 |
36 |
18 |
66 |
43 |
28 |
39 |
47 |
40 |
24 |
46 |
48 |
57 |
36 |
58 |
39 |
62 |
43 |
65 |
74 |
36 |
39 |
44 |
61 |
50 |
47 |
63 |
60 |
38 |
45 |
51 |
55 |
46 |
68 |
32 |
42 |
38 |
61 |
45 |
31 |
32 |
44 |
30 |
29 |
62 |
49 |
54 |
64 |
38 |
49 |
55 |
28 |
53 |
55 |
52 |
50 |
54 |
76 |
28 |
49 |
70 |
29 |
34 |
77 |
40 |
50 |
40 |
56 |
54 |
36 |
51 |
42 |
71 |
45 |
53 |
55 |
37 |
51 |
36 |
39 |
36 |
51 |
40 |
51 |
52 |
53 |
33 |
66 |
37 |
76 |
67 |
55 |
46 |
For now, assume both of the claims about the population are correct.
1a. Given the assumed pop. mean and st.dev, calculate the probability of observing a value above the number for the first data point.