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ale4655 [162]
1 year ago
8

For a population with a mean of u = 40 and a standarddeviation of o = 8, find the z-score corresponding toeach of the following

samples.a. X = 34 for a sample of n = 1 scoreb. x = 34 for a sample of n = 4 scoresc. x = 34 for a sample of n = 16 scores
Mathematics
1 answer:
ivann1987 [24]1 year ago
5 0

Solution:

Given the mean and standard deviation;

\mu=40,\sigma=8

The z-score formula is;

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

(a)

\begin{gathered} x=34,n=1 \\  \\ z=\frac{34-40}{\frac{8}{\sqrt{1}}} \\  \\ z=-0.75 \end{gathered}

(b)

\begin{gathered} x=34,n=4 \\  \\ z=\frac{34-40}{\frac{8}{\sqrt{4}}} \\  \\ z=-1.5 \end{gathered}

(c)

\begin{gathered} x=34,n=16 \\  \\ z=\frac{34-40}{\frac{8}{\sqrt{16}}} \\  \\ z=-3 \end{gathered}

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