Math  /  Data & Statistics

QuestionClaim: The standard deviation of pulse rates of adult males is more than 11 bpm . For a random sample of 140 adult males, the pulse rates have a standard deviation of 11.3 bpm . Complete parts (a) and (b) below. a. Express the original claim in symbolic form. \square \square \square bpm (Type an integer or a decimal. Do not round.)

Studdy Solution

STEP 1

What is this asking? We're checking if the standard deviation of adult male pulse rates is greater than 11 bpm, given a sample standard deviation from 140 men. Watch out! Don't mix up standard deviation with variance (standard deviation squared).
Also, remember we're dealing with a *sample* standard deviation, not the true population standard deviation.

STEP 2

1. Symbolize the claim

STEP 3

We're looking at the standard deviation of pulse rates for adult males.
Let's represent this standard deviation with the Greek letter sigma, σ\sigma.
This σ\sigma represents the **true population standard deviation**, the one we'd get if we could measure *every* adult male's pulse.

STEP 4

The claim says the standard deviation is *more than* 11 bpm.
In math terms, that's σ>11\sigma > 11.
So our claim is σ>11\sigma > 11 bpm.
Woohoo!

STEP 5

σ>11\sigma > 11 bpm

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