A random sample of 30 observations was obtained. The question of interest is whether the data followed
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A random sample of 30 observations was obtained. The question of interest is whether the data followed a normal distribution with mean 15 and standard deviation 4. None of the observations were below the lower quartile (25th percentile) of this distribution, and 15 were above the upper quartile. 5 were below the median and 10 were between the median and the upper quartile. Use the Chi-square Goodness of Fit Test to test whether the data may come from this distribution. Use a significance level of 0.05. Give the null and alternative hypotheses, test statistic value, decision rule, and p-value
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