## Answers

a)

null hypothesis:Ho | μ | = | 5.5 | |

Alternate Hypothesis:Ha | μ | ≠ | 5.5 |

test statistic z = | (x̄-μ)/σ_{x}= | -3.60 |

p value = | 0.0004 |

( please try p value =0.0003 if above comes wrong)

reject the null; there is sufificient evidence,,,,,

b)

power of the test =0.1075

c)

n=217

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