Question

In: Statistics and Probability

The weights of healthy domesticated kittens at ten weeks of age are approximately are approximately normally...

The weights of healthy domesticated kittens at ten weeks of age are approximately are approximately normally distributed with a mean of 23 ounces and a standard deviation of 3.7 ounces.

Approximately 68% of kittens weigh
between (, ) ounces.
Approximately 95% of kittens weigh
between (, ) ounces.
Approximately 99.7% of kittens weigh
between (, ) ounces.

The heights of women have a symmetric distribution with a mean of 66 inches and a standard deviation of 2.5 inches.

Approximately 68% of women have heights
between (, ) inches.
Approximately 95% of women have heights
between (, ) inches.
Approximately 99.7% of women have heights
between (, ) inches.

Expert Solution

Solution :

Using Empirical rule,

P( - 1< X < + 1) = 68%

P( - 2< X < + 2) = 95%

P( - 3< X < + 3) = 99.7%

a)

1)

Approximately 68% of kittens weigh
between (19.3 , 26.7) ounces.

2)

Approximately 95% of kittens weigh
between (15.6 , 30.4) ounces.

3)

Approximately 99.7% of kittens weigh
between (11.9 ,34.1) ounces.

b)

1)

Approximately 68% of kittens weigh
between (63.5 , 68.5) ounces.

2)

Approximately 95% of kittens weigh
between (61 , 71) ounces.

3)

Approximately 99.7% of kittens weigh
between (58.5 , 73.5) ounces.

orchestra answered 2 years ago

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