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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 21131121615313104148512868971714Question

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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 | 13 | 11 |

2 | 16 | 15 |

3 | 13 | 10 |

4 | 14 | 8 |

5 | 12 | 8 |

6 | 8 | 9 |

7 | 17 | 14 |

Step 1

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}

Step 2

*Test statistic:*

Step 3

The standard deviation is obt...

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