Q: 5..3.6. Suppose that y 1 , Y2, ... , y,, is a randoms.ample of size n from a normal distribution...

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Submit Date: March 4, 2016, 12:34 am

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5..3.6. Suppose that *y **1 *, Y2, ... , *y,, *is a randoms.ample of size *n *from a normal distribution where *a *is known. Depending on how the tail area probabilities are split up, an infinile number of random intervals having a 95% probability of containing µ can be constructed. Whal

*is** *unique about the pa rticula r inlerval *(Y** *- 1.96 · ;,;.*y** *+ 1.96 · *5,;;*)?

5.3.7. If the standard deviation (a ) associated with lhe pd{ that produced the following sample is 3.6, would il be correct to claim thal

(2.61 - 1.96 · .3,/.265' 2.61 + 1.96 · .3,/.260) = (1.03, 4.19)

is a 95% confidence interval for µ,? Explain.

2.5 | 0.1 | 0.2 | 1.3 |

3.2 | 0.1 | 0.1 | 1.4 |

| 0.2 | 0.4 | 11.2 |

0.4 | 7.4 | 1.8 | 2.1 |

0.3 | 8.6 | 0.3 | 10.1 |

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