Question

A sample of 36 observations is selected from one population with a population standard deviation of 3.8. The sample mean is 100.5. A sample of 50 observations is selected from a second population with a population standard deviation of 4.4. The sample mean is 99.3. Conduct the following test of hypothesis using the 0.02 significance level. |

H : μ_{0}_{1} = μ_{2} |

H : μ_{1}_{1} ≠ μ_{2} |

(a) |
This is a (Click to select)twoone-tailed test. |

(b) |
State the decision rule. |

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

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

Value of the test statistic |

(d) |
What is your decision regarding H_{0}? |

(Click to select)RejectDo not reject
H_{0}. |

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

p-value |

Answer #1

The statistical software output for this problem is:

Hence,

a) Two - tailed

b) Decision rule:

The decision rule is to reject Ho if z is outside the interval (-2.33, 2.33)

c) Test statistic = 1.35

d) Do not reject Ho

e) p - Value = 0.1765

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