The average cost for teeth straightening with metal braces is approximately $5416. A nationwide franchise thinks that its cost is below that figure. A random sample of 28 patients across the country had an average cost of $5228 with a standard deviation of $623. At α=0.025, can it be concluded that the mean is less than $5416? Assume that the population is approximately normally distributed. What is the critical value and the t test value? Do we reject or not reject the hypothesis? Is there enough evidence?

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The average cost for teeth straightening with metal braces is approximately $5416. A nationwide franchise thinks that its cost is below that figure. A random sample of 28 patients across the country had an average cost of $5228 with a standard deviation of $623. At α=0.025, can it be concluded that the mean is less than $5416? Assume that the population is approximately normally distributed.

  1. What is the critical value and the t test value? Do we reject or not reject the hypothesis? Is there enough evidence?
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