# (Solved): Question 5: RCMP detachments are concerned about traffic speeds in school zones, hence they use spe ...

Question 5: RCMP detachments are concerned about traffic speeds in school zones, hence they use speedmeasuring machines on roads to measure how fast the motorists are driving. Following speed measurements (in $$\mathrm{kms} / \mathrm{h}$$ ) were reported by a speed-measuring machine placed at the school-zone in New Minas: (5\%) (a) Calculate the sample size, the sample mean and the sample standard deviation for your sample. Sample size: Sample mean: Sample standard deviation: (6\%) (b) Using the information from your sample, construct a confidence interval estimate for the average speed of motorists at the school-zone in New Minas at the $$99 \%$$ level of confidence. Interpret your interval. Based on your interval estimates, do you have a reason to believe that motorists are breaking the law (i.e. travel above the legal speed limit of $$30 \mathrm{~km} / \mathrm{h}$$ )? Explain your answer. (6\%) (c) Calculate the proportion of motorists that travel beyond the legal speed limit in your sample. Construct a confidence interval estimate for the true proportion of motorists that travel beyond the legal speed limit (i.e. $$30 \mathrm{~km} / \mathrm{h}$$ ) at the school-zone in New Minas at the $$95 \%$$ level of confidence. Interpret your interval.

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