For this discussion post, we are going to run a hypothesis test based on a claim

For this discussion post, we are going to run a hypothesis test based on a claim made by an insurance provider. Read the following:
An insurance provider states that their customers save at least, on average, 300 dollars per year by switching to them, with a standard deviation of 150 dollars. Before we decide to switch to the new company and go through all of the hassle, we want to test the claim. So, we go out and sample 64 individuals who switched to the new insurance company and found them to have saved an average of 255 dollars per year. Do we have enough evidence at the α = 0.05 level to state that the insurance provider is false in their claim?

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