Cost of Braces The average cost for teeth straightening with metal braces is approximately

$5496

. A nationwide franchise thinks that its cost is below that figure. A random sample of

25

patients across the country had an average cost of

$5150

with a standard deviation of

$633

. At

=0.01

, can it be concluded that the mean is less than

$5496

? Assume that the population is approximately normally distributed.