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.