A highway construction zone has a posted speed limit of 40 miles per hour. Workers working at the site claim that the mean speed of vehicles passing through this construction zone is at least 50 miles per hour. A random sample of 36 vehicles passing through this zone produced a mean speed of 48 miles per hour. The population standard deviation is known to be 4 miles per hour. Do you think the sample information is consistent with the workers’ claim? Use α =0.025.

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A highway construction zone has a posted speed limit of 40 miles per hour. Workers
working at the site claim that the mean speed of vehicles passing through this construction
zone is at least 50 miles per hour. A random sample of 36 vehicles passing through this
zone produced a mean speed of 48 miles per hour. The population standard deviation is
known to be 4 miles per hour. Do you think the sample information is consistent with the
workers’ claim? Use α =0.025.

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