In: Statistics and Probability
Original Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age.
Test the claim using ? = 0.05 and assume your data is normally distributed and ? is unknown.
Q.) What is the value of the test-statistic? What is the p-value? What is the critical value?
| Patient # | Infectious Disease | Age |
| 1 | Yes | 67 |
| 2 | Yes | 38 |
| 3 | Yes | 58 |
| 4 | Yes | 52 |
| 5 | Yes | 46 |
| 6 | Yes | 61 |
| 7 | Yes | 74 |
| 8 | Yes | 69 |
| 9 | Yes | 67 |
| 10 | Yes | 70 |
| 11 | Yes | 65 |
| 12 | Yes | 69 |
| 13 | Yes | 72 |
| 14 | Yes | 69 |
| 15 | Yes | 45 |
| 16 | Yes | 49 |
| 17 | Yes | 72 |
| 18 | Yes | 52 |
| 19 | Yes | 46 |
| 20 | Yes | 57 |
| 21 | Yes | 70 |
| 22 | Yes | 67 |
| 23 | Yes | 77 |
| 24 | Yes | 59 |
| 25 | Yes | 59 |
| 26 | Yes | 61 |
| 27 | Yes | 72 |
| 28 | Yes | 71 |
| 29 | Yes | 52 |
| 30 | Yes | 58 |
| 31 | Yes | 73 |
| 32 | Yes | 52 |
| 33 | Yes | 47 |
| 34 | Yes | 68 |
| 35 | Yes | 55 |
| 36 | Yes | 45 |
| 37 | Yes | 59 |
| 38 | Yes | 58 |
| 39 | Yes | 47 |
| 40 | Yes | 62 |
| 41 | Yes | 62 |
| 42 | Yes | 64 |
| 43 | Yes | 62 |
| 44 | Yes | 56 |
| 45 | Yes | 62 |
| 46 | Yes | 52 |
| 47 | Yes | 70 |
| 48 | Yes | 51 |
| 49 | Yes | 70 |
| 50 | Yes | 69 |
| 51 | Yes | 69 |
| 52 | Yes | 60 |
| 53 | Yes | 57 |
| 54 | Yes | 68 |
| 55 | Yes | 64 |
| 56 | Yes | 64 |
| 57 | Yes | 56 |
| 58 | Yes | 72 |
| 59 | Yes | 70 |
| 60 | Yes | 67 |