Question

The length of timber cuts are normally distributed with a mean of 95 inches and a standard deviation of 0.52 inches. In a random sample of 30 boards, what is the probability that the mean of the sample will be between 94.7 inches and 95.3 inches?

0.002 |

0.950 |

0.436 |

0.998 |

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Question 18**2 pts**

The Dow Jones Industrial Average has had a mean gain of 432 pear year with a standard deviation of 722. A random sample of 40 years is selected. What is the probability that the mean gain for the sample was between 200 and 500?

0.703 |

0.297 |

0.164 |

0.836 |

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Question 19**2 pts**

Of all the companies on the New York Stock Exchange, profits are normally distributed with a mean of $6.54 million and a standard deviation of $10.45 million. In a random sample of 73 companies from the NYSE, what is the probability that the mean profit for the sample was between -2.9 million and 4.5 million?

0.048 |

0.239 |

0.477 |

0.052 |

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Question 20**2 pts**

Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard deviation of 6.7 miles. These distances are normally distributed. If a group of 60 drivers in that age group are randomly selected, what is the probability that the mean distance traveled each day is between 38.0 miles and 39.9 miles?

0.708 |

0.780 |

0.113 |

0.199 |

The weights of bags of peas are normally distributed with a mean of 13.50 ounces and a standard deviation of 1.06 ounces. Bags in the upper 4% are too heavy and must be repackaged. What is the most that bag and weigh and not need to be repackaged?

15.36 ounces |

11.64 ounces |

11.76 ounces |

15.24 ounces |

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Question 13**2 pts**

A stock’s price fluctuations are approximately normally distributed with a mean of $29.51 and a standard deviation of $3.87. You decide to sell whenever the price reaches its highest 20% of values. What is the highest value you would still hold the stock?

$32.38 |

$25.25 |

$31.77 |

$24.50 |

Answer #1

The heights of mature Iowan corn stalks are normally distributed
with mean height of 95 inches with standard deviation of 10 inches.
What is the probability that a random sample of 100 mature Iowan
corn stalks will have mean height more than 96 inches?

The
heights of mature Iowan corn stalks are normally distributed with
mean height of 95 inches with standard deviation of 10 inches. What
is the probability that a random sample of 100 mature Iowan corn
stalks will have mean height more than 96 inches?

The lengths of lumber a machine cuts are normally distributed
with a mean of 9595 inches and a standard deviation of 0.70.7 inch.
(a) What is the probability that a randomly selected board cut by
the machine has a length greater than 95.3295.32 inches? (b) A
sample of 4545 boards is randomly selected. What is the probability
that their mean length is greater than 95.3295.32 inches?

The lengths of lumber a machine cuts are normally distributed
with a mean of 105 inches and a standard deviation of 0.5 inch.
(a) What is the probability that a randomly selected board cut by
the machine has a length greater than 105.14 inches? (b) A sample
of 42 boards is randomly selected. What is the probability that
their mean length is greater than 105.14 inches?

The heights of 18-year-old men are normally distributed, with a
mean of 68 inches and a standard deviation
of 3 inches. If a random sample of 45 men in
this age group is selected, what is the probability that the sample
mean is between 66 and 67.6 inches?

1. The weights of bags of baby carrots are normally
distributed, with a mean of 29 ounces and a standard deviation of
0.31 ounce. Bags in the upper 4.5% are too heavy and must be
repackaged. What is the most a bag of baby carrots can weigh and
not need to be repackaged?
2. The area between z= -1.1 and z =0.7 under the standard normal
curve is
3.
Find the indicated area under the standard normal curve
To the...

The heights of mature Iowan corn stalks are normally
distributed with mean height of 95 inches with standard deviation
of 10 inches. What is the probability that a random sample of 100
mature Iowan corn stalks will have mean height more than 96
inches?
PLEASE SHOW WORK AND CLEARLY THANK YOU

Assume the heights of men are normally distributed, with mean 73
inches and standard deviation 4 inches. If a random sample of nine
men is selected, what is the probability that the mean height is
between 72 and 74 inches? (Use 3 decimal places.)

Suppose that the heights of students are normally distributed
with mean 67 inches and standard deviation 3 inches. (a) What is
the probability that a randomly chosen student is at least 69
inches tall? (b) What is the probability that the mean height of a
random sample of 5 students is at least 69 inches? (c) What is the
probability that the mean height of a random sample of 20 students
is at least 69 inches?

1. A manufacturer knows that their items have a normally
distributed length, with a mean of 17.5 inches, and standard
deviation of 5.1 inches.
If one item is chosen at random, what is the probability that it is
less than 14.3 inches long?
2. A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 6 years, and standard
deviation of 0.8 years.
If you randomly purchase one item, what is the probability it will
last...

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