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Question 3 of 13 - Quiz 3
Resources
Check Answer
Approximately
20% of newborns are born more than 1 week before their due date. A random sample of 20 newborns is selected.
The standard deviation of the sampling distribution for the proportion of your sample that is born more than 7 days before their due date is
0.20 .
3.2 .
0.089 .
0.008 .
Search
Question Source: baldi se - The Practice of Statistics in The Life Sciences
Publisher:
4:25 PM
4/23/2024

Question $3$ of $13$ - Quiz $3$ $\newline$ Resources $\newline$ Check Answer $\newline$ Approximately $20 \%$ of newborns are born more than $1$ week before their due date. A random sample of $20$ newborns is selected. $\newline$ The standard deviation of the sampling distribution for the proportion of your sample that is born more than $7$ days before their due date is $\newline$ $0$ . $20$ . $\newline$ $3$ . $2$ . $\newline$ $0$ . $089$ . $\newline$ $0$ . $008$ . $\newline$ Search $\newline$ Question Source: baldi se - The Practice of Statistics in The Life Sciences $\newline$ Publisher: $\newline$ $4$ : $25$ PM $\newline$ $4$ / $23$ / $2024$

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Interpret measures of center and variability

Full solution

Q. Question

3

of

13

- Quiz

3

\newline

Resources

\newline

Check Answer

\newline

Approximately

20 \%

of newborns are born more than

1

week before their due date. A random sample of

20

newborns is selected.

\newline

The standard deviation of the sampling distribution for the proportion of your sample that is born more than

7

days before their due date is

\newline

0

.

20

.

\newline

3

.

2

.

\newline

0

.

089

.

\newline

0

.

008

.

\newline

Search

\newline

Question Source: baldi se - The Practice of Statistics in The Life Sciences

\newline

Publisher:

\newline

4

:

25

PM

\newline

4

/

23

/

2024

Identify Proportion: Identify the proportion of newborns born more than $1$ week before their due date. $\newline$ Proportion $p$ = $20$ \% or $0.20$ .
Calculate Standard Deviation: Calculate the standard deviation of the sampling distribution for the proportion using the formula for the standard deviation of a sample proportion: $\sqrt{p(1-p)/n}$ , where $p$ is the proportion and $n$ is the sample size. $n = 20$ (sample size).
Plug Values and Calculate: Plug the values into the formula and calculate the standard deviation. $\newline$ Standard deviation = $\sqrt{0.20(1-0.20)/20} = \sqrt{0.20\times 0.80/20} = \sqrt{0.16/20} = \sqrt{0.008} = 0.089$ .

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