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26 May 2018

A sample of 42 observations is selected from one population with a population standard deviation of 3.1. The sample mean is 101.0. A sample of 52 observations is selected from a second population with a population standard deviation of 4.0. The sample mean is 99.8. Conduct the following test of hypothesis using the 0.04 significance level.

*H*_{0} : ?_{1} = ?_{2} *H*_{1} : ?_{1} ? ?_{2}

**(b)** State the decision rule. **(Negative amounts should be indicated by a minus sign. Round your answer to 2 decimal places.)**

The decision rule is to reject *H*_{0} if *z* is outside the interval (, ).

**(c)** Compute the value of the test statistic. **(Round your answer to 2 decimal places.)**

Value of the test statistic

**(e)** What is the *p*-value? **(Round your answer to 4 decimal places.)**

* p*-value

A sample of 42 observations is selected from one population with a population standard deviation of 3.1. The sample mean is 101.0. A sample of 52 observations is selected from a second population with a population standard deviation of 4.0. The sample mean is 99.8. Conduct the following test of hypothesis using the 0.04 significance level. |

H : ?_{0}_{1} = ?_{2} |

H : ?_{1}_{1} ? ?_{2} |

(b) | State the decision rule. |

The decision rule is to reject H_{0} if z is outside the interval (, ). |

(c) | Compute the value of the test statistic. (Round your answer to 2 decimal places.) |

Value of the test statistic |

(e) | What is the p-value? (Round your answer to 4 decimal places.) |

p-value |

Jarrod RobelLv2

27 May 2018