A car insurance company tells its prospective customers that they can save an average of at least $100 per year by switching to their insurance company. Studies reveal that 130 random prospective customers would save an average of $97.50 per year with a standard deviation of $27.50. Is the insurance company's claim believable? Your response should include your decision and conclusion in context of the scenario. Answer in complete sentences and be sure to include all relevant calculations.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A car insurance company tells its prospective customers that they can save an average of at least $100 per year by switching to their insurance company. Studies reveal that 130 random prospective customers would save an average of $97.50 per year with a standard deviation of $27.50. Is the insurance company's claim believable? Your response should include your decision and conclusion in context of the scenario. Answer in complete sentences and be sure to include all relevant calculations.
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