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StatisticsQ&A LibraryIn Exercises, the null hypothesis is H0:µ1 = µ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the paired t-test to perform the required hypothesis test at the 10% significance level.Ha: µ1 >µ2 Observation fromPairPopulation 1Population 2140322302933436422185353162626726258272591115103531Question

Asked Jan 27, 2020

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In Exercises, the null hypothesis is H0:µ1 = µ2 and the alternative hypothesis is as specified. We have provided data from a simple random paired sample from the two populations under consideration. In each case, use the paired t-test to perform the required hypothesis test at the 10% significance level.

Ha: µ1 >µ2

Observation from |

Pair | Population 1 | Population 2 |

1 | 40 | 32 |

2 | 30 | 29 |

3 | 34 | 36 |

4 | 22 | 18 |

5 | 35 | 31 |

6 | 26 | 26 |

7 | 26 | 25 |

8 | 27 | 25 |

9 | 11 | 15 |

10 | 35 | 31 |

Step 1

In this context, the aim is to test whether there is any significant difference in the population means by using the hypothesis *H*_{0}:*µ*_{1} = *µ*_{2} against* H*_{a}:*µ*_{1} > *µ*_{2}.

The test hypotheses are,

Null hypothesis:* H*_{0}:*µ*_{1} = *µ*_{2}

Alternative hypothesis:* H*_{a}:*µ*_{1} > *µ*_{2}

The level of significance is α=0.10.

Step 2

The difference *d _{i}=X_{1}–X_{2}* for each sample is obtained as follows:

Step 3

*Test statistic:...*

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