Please read the following table in Markdown format and then answer the question according to the table. Table cells in one row are seperated by '|', and different rows are seperated by '
'.

Table:
| Name | Years | Gender | Area | Authority | Decile | Roll |
| --- | --- | --- | --- | --- | --- | --- |
| Aokautere School | 1–6 | Coed | Aokautere | State | 10.0 | 86 |
| Ashhurst School | 1–8 | Coed | Ashhurst | State | 7.0 | 389 |
| Awapuni School | 1–6 | Coed | Awapuni | State | 2.0 | 86 |
| Awatapu College | 9–13 | Coed | Palmerston North | State | 5.0 | 711 |
| Carncot Independent School for Girls and Boys | 1–8 | Coed/Girls | Palmerston North | Private | 10.0 | 90 |
| Central Normal School | 1–6 | Coed | Palmerston North | State | 4.0 | 507 |
| Cloverlea School | 1–6 | Coed | Cloverlea | State | 4.0 | 293 |
| College Street Normal School | 1–6 | Coed | Palmerston North | State | 9.0 | 592 |
| Cornerstone Christian School | 1–8 | Coed | Kelvin Grove | State integrated | 7.0 | 255 |
| Freyberg High School | 9–13 | Coed | Palmerston North | State | 6.0 | 1270 |
| Hokowhitu School | 1–6 | Coed | Palmerston North | State | 8.0 | 317 |
| Linton Camp School | 1–8 | Coed | Linton Army Camp | State | 10.0 | 143 |
| Linton Country School | 1–8 | Coed | Linton | State | 9.0 | 25 |
| Mana Tamariki | 1–13 | Coed | Palmerston North | State | 7.0 | 56 |
| Milson School | 1–6 | Coed | Milson | State | 5.0 | 336 |
| Monrad Intermediate | 7–8 | Coed | Palmerston North | State | 3.0 | 258 |
| Our Lady of Lourdes School | 1–6 | Coed | Takaro | State integrated | 4.0 | 162 |
| Palmerston North Adventist Christian School | 1–6 | Coed | Palmerston North | State integrated | 5.0 | 111 |
| Palmerston North Boys' High School | 9–13 | Boys | Palmerston North | State | 9.0 | 1686 |
| Palmerston North Girls' High School | 9–13 | Girls | Palmerston North | State | 9.0 | 1213 |
| Palmerston North Intermediate | 7–8 | Coed | Palmerston North | State | 9.0 | 668 |
| Parkland School | 1–6 | Coed | Palmerston North | State | 7.0 | 328 |
| Queen Elizabeth College | 9–13 | Coed | Palmerston North | State | 3.0 | 213 |
| Riverdale School | 1–6 | Coed | Palmerston North | State | 9.0 | 370 |
| Roslyn School | 1–8 | Coed | Palmerston North | State | 3.0 | 397 |
| Ross Intermediate | 7–8 | Coed | Palmerston North | State | 6.0 | 531 |
| Russell Street School | 1–6 | Coed | Palmerston North | State | 9.0 | 329 |
| Somerset Crescent School | 1–6 | Coed | Highbury | State | 1.0 | 229 |
| St James School | 1–6 | Coed | Hokowhitu | State integrated | 10.0 | 249 |
| St Mary's School | 1–6 | Coed | Palmerston North | State integrated | 6.0 | 175 |
| St Peter's College | 7–13 | Coed | Palmerston North | State integrated | 7.0 | 594 |
| Takaro School | 1–8 | Coed | Palmerston North | State | 1.0 | 163 |
| Terrace End School | 1–6 | Coed | Terrace End | State | 4.0 | 113 |
| Tiritea School | 1–6 | Coed | Tiritea | State | 10.0 | 150 |
| TKKM o Manawatu | 1–8 | Coed | Kelvin Grove | State | 4.0 | 128 |
| West End School | 1–6 | Coed | Palmerston North | State | 5.0 | 367 |
| Whakarongo School | 1–8 | Coed | Palmerston North | State | 9.0 | 380 |
| Whakatipuria Teen Parent Unit | – | – | Roslyn | State | 1.0 | n/a |
| Winchester School | 1–6 | Coed | Hokowhitu | State | 9.0 | 360 |
Question:
which Authority has a coed school with a decile greater than 4, with a 150 roll?
Answer:
State