A company makes climbing rope, which is cut to lengths of 50m with a standard deviation of

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A company makes climbing rope, which is cut to lengths of 50m with a standard deviation of 1.5m. A sample of 150 pieces of rope is measured and the results are recorded. 


Test, at the 5% significance level, whether the lengths of pieces of rope can be modelled as a normal distribution according to the parameters suggested.

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