Heights of men on a baseball team have a bell-shaped distribution with a mean of 176cm and a standard deviation of 5cm .Using the empirical rule,what is the approximate percentage of men between the following values?


% of the men are between 165cm and 186cm

Answers

Answer 1

95% men are between 165 cm and 186 cm.

What is the empirical rule?

The empirical rule is also referred to as the Three Sigma Rule or the 68-95-99.7 Rule.

z-score = (raw-score minus mean) / standard deviation.

z1 = (165-176)/5 = -2.2

z2 = (186-176)/5 = 2

The empirical rule tells us that about 95% of all values are within standard deviations of the mean,

so, 95% men are between 165 cm and 186 cm.

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Answer 2

95% of men are between 165 cm and 186 cm.

What is the approximate percentage of men between the following values?

Given:

The heights of men on a baseball team have a bell-shaped distribution a mean of 176cm and a standard deviation of 5cm.

Find:

What is the approximate percentage of men between the following values?

Solution:

The empirical rule is also referred to as the three sigma rule or the 68-95-99.7

Rule:

z - score = (raw - score minus mean) / standard deviation.

z1 = (165-176)/5 = -2.2

z2 = (186-176)/5 = 2

The empirical rule tells us that about 95% of all values are within standard deviations of the mean.

So, 95% of men are between 165 cm and 186 cm.

To learn more about the empirical rules, refer to:

brainly.com/question/10093236

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