Chapter 8: Q.2 (page 524)

The weights (in pounds) of three adult males are $160, 215 a n d 195$ . The standard error of the mean of these three weights is
(a) $190$
(b) $27.84$
(c) $22.73$
(d) $16.07$
(e) $13.13$

Short Answer

Expert verified

(e) The standard error of mean is $13.13$

Step by step solution

Step-1 Given Information

Given In the question that , The weights of three adult males are $160, 215, a n d 195$ we have to find the correct option.

Step-2 Explanation

The formula to compute the standard error of mean is:

$S \tan d a r d e r r o r_{M e a n} = \frac{σ}{\sqrt{n}}$

The values of mean and standard deviation using Ti-83 calculator could be calculated as:

From the above output, the standard deviation $= 22.73$ and sample size $= 3$

The standard error of the mean is calculated as follows:

$S \tan d a r d e r r o r_{M e a n} = \frac{σ}{\sqrt{n}}$

localid="1649222387632" $= \frac{22.73}{\sqrt{3}}$

$= 13.13$

Hence, the correct option is (e)

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The weights (in pounds) of three adult males are $160, 215 a n d 195$ . The standard error of the mean of these three weights is
(a) $190$
(b) $27.84$
(c) $22.73$
(d) $16.07$
(e) $13.13$

Short Answer

Step by step solution

Step-1 Given Information

Step-2 Explanation

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The weights (in pounds) of three adult males are 160,215and195. The standard error of the mean of these three weights is(a) 190(b) 27.84(c) 22.73(d) 16.07(e)13.13

Short Answer

Step by step solution

Step-1 Given Information

Step-2 Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Pure Maths

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

The weights (in pounds) of three adult males are $160, 215 a n d 195$ . The standard error of the mean of these three weights is
(a) $190$
(b) $27.84$
(c) $22.73$
(d) $16.07$
(e) $13.13$