Question

A sample of 39 observations is selected from a normal population. The sample mean is 19, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.10 significance level. |

H_{0}: μ ≤ 18 |

H_{1}: μ >18 |

a. |
Is this a one- or two-tailed test? |

Two-tailed test

One-tailed test

b. |
What is the decision rule? |

Reject *H*_{0} when z ≤ 1.282

Reject *H*_{0} when z > 1.282

c. |
What is 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}? |

Fail to reject *H*_{0}

Reject *H*_{0}

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

p-value |
________ |

Answer #1

a) Option-B) One-tailed test

b) Option-B) Reject *H*_{0} when z > 1.282

c) test statistic

= 1.56

d) Option-B) Reject *H*_{0}

e) p-value = P(Z > 1.56) = 1 - P(Z < 1.56) = 1 - 0.9406 = 0.0594

A sample of 39 observations is selected from a normal
population. The sample mean is 19, and the population standard
deviation is 4. Conduct the following test of hypothesis using the
0.10 significance level.
H0: μ ≤ 18
H1: μ > 18
Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
What is the decision rule?
Reject H0 when z > 1.282
Reject H0 when z ≤ 1.282
What is the value of the test statistic? (Round your...

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