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You’re living way too far below your means, and it’s time to treat yourself. Going back to the 50-30-20 rule from above, you should be able to spend 20% of your income on things you want.
The simplest case of a normal distribution is known as the standard normal distribution or unit normal distribution. This is a special case when μ = 0 {\textstyle \mu =0} and σ 2 = 1 {\textstyle \sigma ^{2}=1} , and it is described by this probability density function (or density): φ ( z ) = e − z 2 2 2 π . {\displaystyle \varphi (z ...
Z-test tests the mean of a distribution. For each significance level in the confidence interval , the Z -test has a single critical value (for example, 1.96 for 5% two tailed) which makes it more convenient than the Student's t -test whose critical values are defined by the sample size (through the corresponding degrees of freedom ).
If X is a random variable from a normal distribution with mean ... This equates to the area of the distribution below Z. Example: Prob(Z ≤ 0.69) = 0.7549.
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The 99th percentile in a normal distribution is 2.3263 standard deviations above the mean; 99 is 49 more than 50—thus 49 points above the mean; 49/2.3263 = 21.06. Normal curve equivalents are on an equal-interval scale.
Normal probability plots are made of raw data, residuals from model fits, and estimated parameters. A normal probability plot. In a normal probability plot (also called a "normal plot"), the sorted data are plotted vs. values selected to make the resulting image look close to a straight line if the data are approximately normally distributed.