The Empirical Rule The weight, in grams, of the pair of

Chapter 3, Problem 31E

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QUESTION:

The weight, in grams, of the pair of kidneys in adult males between the ages of 40 and 49 has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 30 grams.

(a) About 95% of kidney pairs will be between what weights?

(b) What percentage of kidney pairs weighs between 235 grams and 415 grams?

(c) What percentage of kidney pairs weighs less than 235 grams or more than 415 grams?

(d) What percentage of kidney pairs weighs between 295 grams and 385 grams?

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QUESTION:

The weight, in grams, of the pair of kidneys in adult males between the ages of 40 and 49 has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 30 grams.

(a) About 95% of kidney pairs will be between what weights?

(b) What percentage of kidney pairs weighs between 235 grams and 415 grams?

(c) What percentage of kidney pairs weighs less than 235 grams or more than 415 grams?

(d) What percentage of kidney pairs weighs between 295 grams and 385 grams?

ANSWER:

Step 1 of 4

From the given problem we have 

The mean \(\bar{x}=325\), the standard deviation \(s=30\)

According to the Empirical rule.

   

a). To find about 95% of kidney pairs will be between what weights.

According to the empirical rule, 95% of kidneys have weights between two standard deviations. 

That is, \((\overline{x}-2s,\overline{\ x}+2s)=(265,\ 385)\)

Hence, 95% of kidney pairs will be between 265 and 385 weights.

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