Question

Suppose *x* has a distribution with *μ* = 25 and
*σ* = 22.

(a) If a random sample of size *n* = 40 is drawn, find
*μ*_{x}, *σ*_{x}
and *P*(25 ≤ *x* ≤ 27). (Round
*σ*_{x} to two decimal places and the
probability to four decimal places.)

μ_{x} = |

σ_{x} = |

P(25 ≤ x ≤ 27) = |

(b) If a random sample of size *n* = 56 is drawn, find
*μ*_{x}, *σ*_{x}
and *P*(25 ≤ *x* ≤ 27). (Round
*σ*_{x} to two decimal places and the
probability to four decimal places.)

μ_{x} = |

σ_{x} = |

P(25 ≤ x ≤ 27) = |

Answer #1

We have given,

a) For n=40

= 3.48

=0.7157-0.5..................................................by using normal probability table.

=0.2157

b) For n=56

= 2.94

=0.7517-0.5................................by using normal probability table.

=0.2517

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