## Answers

Result:

1).

week1 | week2 |

42 | 58 |

45 | 50 |

23 | 61 |

50 | 55 |

45 | 58 |

85 | 90 |

26 | 30 |

20 | 35 |

50 | 42 |

48 | 60 |

Lower tail test

Paired | |

Data | |

Hypothesized Mean Difference | 0 |

Level of significance | 0.05 |

Intermediate Calculations | |

Sample Size | 10 |

DBar | -10.5000 |

Degrees of Freedom | 9 |

| 11.9745 |

Standard Error | 3.7867 |

| -2.7729 |

Lower-Tail Test | |

Lower Critical Value | -1.8331 |

| 0.0108 |

Reject the null hypothesis |

Rejection Region: Reject Ho if t < -1.8331

Calculated t = -2.7729 falls in the rejection region

The null hypothesis is rejected.

We conclude that virtual reality program proved successful.

2).

Z value at 0.05 level = 1.96

Lower limit = 77-1.96*8 =61.32

Upper limit = 77+1.96*8 = 92.68

3).

Lower limit = 218-1.96*sqrt(35) = 206.4045

Upper limit = 218+1.96*sqrt(35) = 229.5955

4).

Lower limit = 357-1.96*sqrt(28) = 346.6287

upper limit = 357+1.96*sqrt(28) = 367.3713