# Suppose you have selected a random sample of ? displaystyle={14} measurements from a normal distribution. Compare the standard normal ? values with th

Rivka Thorpe 2021-02-10 Answered
Suppose you have selected a random sample of ? $=14$ measurements from a normal distribution. Compare the standard normal ? values with the corresponding ? values if you were forming the following confidence intervals.
a) $95\mathrm{%}$ confidence interval
$?=$
$?=$
b) $80\mathrm{%}$ confidence interval
$?=$
$?=$
c) $98\mathrm{%}$ confidence interval
$?=$
$?=$
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Step 1
Given:
A random sample of 14 measurements from a normal distribution is selected. That is,
Sample size: $n=14$
Let, X be the measurement values.
If some data {x} are normally distributed, the corresponding {z} will be normal with mean 0 and standard deviation 1 where the correspondence between the {x} and {z} is given by $z=\frac{x-\mu }{\sigma }$. Such zs