The z score is a score used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma}\\\\where\ \mu=mean.\sigma=standard\ deviation, x=raw\ score.\\\\For\ a \ sample\ size\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }$

For a normal distribution with a mean of μ and standard deviation σ, For any sample size (n) drawn from this population, the sample mean is normally distributed, with mean $\mu_x=\mu$ and standard deviation $\sigma_x=\frac{\sigma}{\sqrt{n } } \\\\$ .

Hence given that a mean of μ = 20.6 years and standard deviation σ = 5.3 years, for a sample size of 100:

mean $\mu_x=\mu=20.6\ years$ and standard deviation $\sigma_x=\frac{\sigma}{\sqrt{n } } =\frac{5.3}{\sqrt{100} }=0.53\ years \\\\$ .

7 0

2 years ago

Are the tuskegee syphilis study and diethylstilbestrol study on pregnant women unethical why.

barxatty [35]

Answer:

yes

Explanation:

The study is an experiment that was conducted between the 1932 and 1972 by the UNPS that is united nations public health services. It was taken up by the center of disease control and prevention. The main aim was to study and observe the diseases when untreated. The initial experiments were made of 6 months.

6 0

2 years ago

if a cluster of people stand gazing upward, passersby will often pause and do likewise. this best illustrates:

PSYCHO15rus [73]

Answer:

The Chameleon Affect

Explanation:

5 0

2 years ago