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.