Our test statistic, -3.3978, is in our rejection region, therefore, we reject the null hypothesis. z is the (1-) percentile of a standard normal distribution, which can be found on page I-10 or. It gives the probability of a normal random variable not being more than z standard deviations above its mean. Table I.3 Critical Values for the Sign Test Statistic S+. normal ( ) distribution, it is centered at 0, but its standard deviation is. STATISTICAL TABLES 1 TABLE A.1 Cumulative Standardized Normal Distribution A(z) is the integral of the standardized normal distribution from to z (in other words, the area under the curve to the left of z).
The credit for the discovery, origin and penning down the Standard Normal Distribution can be attributed to the 16th century French mathematician Abraham de Moivre ( 26th May 1667 27th November 1754) who is well known for his ‘de Moivre’s formula’ which links complex numbers and trigonometry. basic characteristics of the t-distribution, how to use the t-table to find.
The alternative is left-tailed so the critical value is the value \(a\) such that \(P(T