\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The weights of 100 apples are categorized into bins.
Weight (g) \(<100\) \(100-120\) \(120-140\) \(>140\)
Freq 10 20 45 25
The sample mean is \(\bar{x}=128\) and sample standard deviation is \(s=18\).
Test at the \(5\pourcent\) level if the weights follow a Normal distribution.
Hint: Calculate expected frequencies using Normal CDF with sample statistics. Remember to adjust degrees of freedom.
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