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95% Non-Parametric(Chebyshev) UCL 0 <br /> Because the data do not appear to be normally distributed according to the goodness-of-fit test performed above, the <br /> non-parametric UCL (0) may be a more accurate upper confidence limit on the true mean. <br /> One-Sample t-Test <br /> A one-sample t-test was performed to compare the sample mean to the action level. The null hypothesis used is that the <br /> true mean equals or exceeds the action level (AL). The t-test was conducted at the 5% significance level. The sample <br /> value t was computed using the following equation: <br /> f — <br /> x—AL <br /> SE <br /> where <br /> X is the sample mean of the n=13 data, <br /> AL is the action level or threshold (10), <br /> SE is the standard error= (standard deviation) /(square root of n). <br /> This t was then compared with the critical value to 95, where to 95 is the value of the t distribution with n-1=12 degrees of <br /> freedom for which the proportion of the distribution to the left of to 95 is 0.95. The null hypothesis will be rejected if t< -to 95 <br /> ONE-SAMPLE t-TEST <br /> tstatistic Critical Value to.95 Null Hypothesis <br /> -1.#INF 1.7823 Cannot Reject <br /> The test did not reject the null hypothesis that the mean value at the site exceeds the threshold, therefore conclude the <br /> true mean exceeds the threshold. <br /> Because the data do not appear to be normally distributed, the MARSSIM Sign Test might be preferred over the One <br /> Sample t-Test. The following table represents the results of the MARSSIM Sign Test using the current data: <br /> MARSSIM Sign Test <br /> Test Statistic(S+) 95%Critical Value Null Hypothesis <br /> 13 9 Reject <br /> This report was automatically produced`by Visual Sample Plan(VSP)software version 5.000. <br /> Software and documentation available at http://dgo.pnl.gov/vsp <br /> Software copyright(c)2007 Battelle Memorial Institute. All rights reserved. <br /> The report contents may have been modified or reformatted by end-user of software. <br />