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One factor in choosing a location for a new clothing store is the mean clothing expenditure per household in the surrounding area. Ideally, the shop

One factor in choosing a location for a new clothing store is the mean clothing expenditure per household in the surrounding area. Ideally, the shop wants to move into an area where the population spends an average of $500 per year on clothes. A random survey of 22 households in the area reveals that the mean and standard deviation of annual expenditure on clothes is $446 and $90, respectively. Can we conclude at the 5% level that this sample mean annual expenditure is statistically significantly less than the ideal population mean of $500? Why or why not?

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