Question

JKESTAT11 7.E.035.

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ASK YOUR TEACHER

Consider the approximately normal population of heights of
male college students with mean μ = 67 inches and standard
deviation of σ = 4.5 inches. A random sample of 13 heights is
obtained.

(a) Describe the distribution of x, height of male college
students.

skewed left

approximately normal

chi-square

skewed right

(b) Find the proportion of male college students whose height
is greater than 71 inches. (Round your answer to four decimal
places.)

(c) Describe the distribution of x, the mean of samples of
size 13.

skewed right

approximately normal

chi-square

skewed left

(d) Find the mean of the x distribution. (Round your answer to
the nearest whole number.)

(ii) Find the standard error of the x distribution. (Round
your answer to two decimal places.)

(e) Find P(x > 72). (Round your answer to four decimal
places.)

(f) Find P(x < 64). (Round your answer to four decimal
places.)

Answer #1

a)

approximately normal

b)

for normal distribution z score =(X-μ)/σ | |

here mean= μ= | 67 |

std deviation =σ= | 4.5000 |

probability
=P(X>71)=P(Z>(71-67)/4.5)=P(Z>0.89)=1-P(Z<0.89)=1-0.8133=0.1867 |

c_)

approximately normal

d_)

mean of the x distribution =67

ii)

std error=σ_{x̅}=σ/√n=4.5/√13 = |
1.25 |

e)

probability
=P(X>72)=P(Z>(72-67)/1.25)=P(Z>4)=1-P(Z<4)=1-1=0.0000 |

f)

probability
=P(X<64)=(Z<(64-67)/1.248)=P(Z<-2.4)=0.0082 |

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σ = 3.6 inches. A random sample of 10 heights is obtained.
(a) Describe the distribution of x, height of male college
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chi-square
(b) Find the proportion of male college students whose height is
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(c) Describe the distribution of x,...

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normal chi-squareskewed left
(b) Find the proportion of male college students whose height is
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Round Answer to 4 decimal places.
2. The height of an adult male in the United States is
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P(X < x) = 0.9975, x = 76.8597
How tall must a male be, in order to be among the tallest 0.25%
of males? Round your answer to ONE decimal place.

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skewed right
normal
skewed left
chi-square
(b) Find the probability that one jar selected at random
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Provided your answer in inches, rounded to 2 decimal
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the
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