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After seeing many commercials claiming you can get cheaper car insurance from an online company, a local insurance agent decides to investigate the claim. She

After seeing many commercials claiming you can get cheaper car insurance from an online company, a local insurance agent decides to investigate the claim. She picks 10 of her clients at random and gets online price quotes for their policies. She then compares these prices with their local policy rates. She subtracts the online price minus the local price to get the price difference. She finds a mean difference of negative $34.90 with a standard deviation of $95.66. Is this significant evidence that her clients would save money on average by switching to the online company? (Test a hypothesis.)

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