Hypothesis Testing and Inferences

Student’s Name

Institution Affiliation

Date

**Table 3**** (µ = 100 seconds and σ = 30)**

Child | Mean seconds of concentration in an experiment of reading | z-score | p-value |
---|---|---|---|

1 | 75 | –0.83 | 0.203 |

2 | 81 | –0.63 | 0.264 |

3 | 89 | –0.37 | 0.356 |

4 | 99 | –0.03 | 0.488 |

5 | 115 | 0.50 | 0.309 |

6 | 127 | 0.09 | 0.464 |

7 | 138 | 1.27 | 0.102 |

8 | 139 | 1.30 | 0.967 |

9 | 142 | 1.40 | 0.081 |

10 | 148 | 1.60 | 0.055 |

**1****st**** Question **

Results from the standard normal table indicate that no child had come from a significantly different population (SDP) different from the one used in the null hypothesis. With consideration of the significant level of 0.05, all children had p-value greater than 0.05 (Silvey, 2017). These results would have been statistically significant if the null hypothesis was rejected under conditions that p < 0.05. In case, the p-value is greater than 0.05, and the null hypothesis would have been accepted since there is no enough evidence to reject the null hypothesis.

**2****nd**** Question **

The significant level of each child becomes less at the same time with the progressive dispersion of data (Azzalini, 2017). This happens since there is a greater variation between variables.

**Conclusion Statement**

1st Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Findings from z analysis show that the p-value is 0.203 at z < 0.83. As such, we accept the null hypothesis since p > 0.05.

2nd Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Findings from z analysis show that the p-value is 0.264 at z < 0.63. As such, we accept the null hypothesis since p > 0.05.

3rd Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Findings from z analysis show that the p-value is 0.356 at z < 0.37. As such, we accept the null hypothesis since p > 0.05.

4th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Findings from z analysis show that the p-value is 0.488 at z < 0.03. As such, we accept the null hypothesis since p > 0.05.

5th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Findings from z analysis show that the p-value is 0.309 at z < 0.50. As such, we accept the null hypothesis since p > 0.05.

6th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Findings from z analysis show that the p-value is 0.464 at z < 0.09. As such, we accept the null hypothesis since p > 0.05.

7th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Findings from z analysis show that the p-value is 0.102 at z < 1.27. As such, we accept the null hypothesis since p > 0.05.

8th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Findings from z analysis show that the p-value is 0.0.967 at z < 1.30. As such, we accept the null hypothesis since p > 0.05.

9th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Findings from z analysis show that the p-value is 0.081 at z < 1.40. As such, we accept the null hypothesis since p > 0.05.

10th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Findings from z analysis show that the p-value is 0.055 at z < 1.6. As such, we accept the null hypothesis since p > 0.05.

**Table 4**** (µ = 100 seconds and σ = 40)**

Child | Mean seconds of concentration in an experiment of reading | z-score | p-value |

1 | 75 | –0.63 | 0.264 |

2 | 81 | –0.48 | 0.316 |

3 | 89 | –0.28 | 0.390 |

4 | 99 | –0.03 | 0.488 |

5 | 115 | 0.38 | 0.352 |

6 | 127 | 0.68 | 0.248 |

7 | 138 | 0.95 | 0.171 |

8 | 139 | 0.98 | 0.164 |

9 | 142 | 1.05 | 0.147 |

10 | 148 | 1.20 | 0.115 |
---|

**1****st**** Question **

The findings from the z-table analysis provide that no child that appeared to come from a SDP other than the one used in the null hypothesis (Silvey, 2017).

**2****nd**** **

Level of significant for each child tends to reduce based on their variations.

** **

**Conclusion Statement**

1st Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Results from z analysis show that the p-value is 0.264 at z < 0.63. As such, we accept the null hypothesis since p > 0.05.

2nd Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Results from z analysis show that the p-value is 0.316 at z < 0.48. As such, we accept the null hypothesis since p > 0.05.

3rd Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Results from z analysis show that the p-value is 0.390 at z < 0.28. As such, we accept the null hypothesis since p > 0.05.

4th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Results from z analysis show that the p-value is 0.352 at z < 0.38. As such, we accept the null hypothesis since p > 0.05.

5th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Results from z analysis show that the p-value is 0.352 at z < 0.38. As such, we accept the null hypothesis since p > 0.05.

6th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Results from z analysis show that the p-value is 0.248 at z < 0.68. As such, we accept the null hypothesis since p > 0.05.

7th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Results from z analysis show that the p-value is 0.171 at z < 0.95. As such, we accept the null hypothesis since p > 0.05.

8th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from SDP that differed with the one used in the null hypothesis. Results from z analysis show that the p-value is 164 at z < 0.98. As such, we accept the null hypothesis since p > 0.05.

9th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Results from z analysis show that the p-value is 0.147 at z < 1.05. As such, we accept the null hypothesis since p > 0.05.

10th Student

The findings from the z analysis were to assess whether there was any child who appeared to come from a SDP that differed with the one used in the null hypothesis. Results from z analysis show that the p-value is 0.115 at z < 1.20. As such, we accept the null hypothesis since p > 0.05.

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References

Azzalini, A. (2017). *Statistical inference based on the likelihood*. Routledge.

Silvey, S. D. (2017). *Statistical inference*. Routledge.

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