One sample
t-Test

The
superintendent of the Riverwalk school district
claims that the students in his district are more intelligent, on the average,
than the general population of students. The mean IQ of the general population
of school children is 105. A study was conducted to determine the IQs of a
sample of school children in the Riverwalk district.
The results are as follows. Test and find out if the superintendent of the Riverwalk is correct. (Both manual calculation and SPSS)

Student |
IQ score |
Student |
IQ score |

1 |
110 |
16 |
110 |

2 |
105 |
17 |
117 |

3 |
102 |
18 |
98 |

4 |
112 |
19 |
124 |

5 |
120 |
20 |
107 |

6 |
107 |
21 |
112 |

7 |
99 |
22 |
122 |

8 |
100 |
23 |
104 |

9 |
109 |
24 |
105 |

10 |
103 |
25 |
110 |

11 |
115 |
26 |
120 |

12 |
125 |
27 |
125 |

13 |
115 |
28 |
120 |

14 |
106 |
29 |
100 |

15 |
110 |
30 |
110 |

Answer t(obtained)=3.9

SPSS output:sig=.001