find Pxbar
find P(x-bar<53) usiing the numbers below.
| find P(x-bar<53) usiing the numbers below. |
| 61 |
| 47 |
| 42 |
| 50 |
| 69 |
| 44 |
| 61 |
| 54 |
| 54 |
| 51 |
| 54 |
| 56 |
| 50 |
| 57 |
| 64 |
| 63 |
| 42 |
| 49 |
| 57 |
| 39 |
| 54 |
| 55 |
| 44 |
| 52 |
| 63 |
| 43 |
| 58 |
| 33 |
| 49 |
| 60 |
| 62 |
| 40 |
| 50 |
| 60 |
| 45 |
| 64 |
| 60 |
| 54 |
| 16 |
| 55 |
| 56 |
| 50 |
| 38 |
| 51 |
| 52 |
| 49 |
| 44 |
| 54 |
| 49 |
| 56 |
| 58 |
| 58 |
| 53 |
| 49 |
| 49 |
| 49 |
| 39 |
| 60 |
| 65 |
| 57 |
| 38 |
| 51 |
| 50 |
| 37 |
| 33 |
| 49 |
| 44 |
| 43 |
| 61 |
| 61 |
| 50 |
| 32 |
| 49 |
| 48 |
| 56 |
| 44 |
| 62 |
| 51 |
| 60 |
| 53 |
| 51 |
| 67 |
| 65 |
| 47 |
| 41 |
| 52 |
| 40 |
| 48 |
| 72 |
| 37 |
| 44 |
| 58 |
| 57 |
| 44 |
| 52 |
| 38 |
| 58 |
| 46 |
| 48 |
| 59 |
| 71 |
| 38 |
| 41 |
| 50 |
| 49 |
| 51 |
| 57 |
| 53 |
| 58 |
| 66 |
| 69 |
| 59 |
| 47 |
| 38 |
| 55 |
| 55 |
| 51 |
| 55 |
| 46 |
| 53 |
| 66 |
| 44 |
| 39 |
| 51 |
| 56 |
| 49 |
| 47 |
| 49 |
| 51 |
| 50 |
| 29 |
| 42 |
| 44 |
| 46 |
| 40 |
| 49 |
| 59 |
| 49 |
| 48 |
| 48 |
| 45 |
| 65 |
| 57 |
| 33 |
| 42 |
| 47 |
| 62 |
| 71 |
| 56 |
| 48 |
| 44 |
| 48 |
| 55 |
| 36 |
| 44 |
| 43 |
| 55 |
| 61 |
| 57 |
| 59 |
| 52 |
| 55 |
| 36 |
| 52 |
| 31 |
| 43 |
| 52 |
| 52 |
| 55 |
| 64 |
| 63 |
| 49 |
| 48 |
| 52 |
| 38 |
| 54 |
| 48 |
| 61 |
| 49 |
| 54 |
| 39 |
| 44 |
| 57 |
| 51 |
| 56 |
| 55 |
| 43 |
| 56 |
| 59 |
| 49 |
| 52 |
| 48 |
| 47 |
| 49 |
| 58 |
| 68 |
| 58 |
| 43 |
| 53 |
| 44 |
| mean |
| 50.98 |
| St. Dev |
| 8.807238 |
Solution
Given thatX –bar = 53µ= 50.98=8.807238
P((X-bar) -µ)/ ) = P((53) -50.98)/ 8.807238 )
= P(0.2294 )
= 0.590721
The value is from standard normal tables




