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

$

5451

. A nationwide franchise thinks that its cost is below that figure. A random sample of27

patients across the country had an average cost of$

5216

with a standard deviation of$

627

. At=

0.01

,can it be concluded that the mean is less than$

5451

? Assume that the population is approximately normally distributed.

Part 1 of 5

(a) State the hypotheses and identify theclaim.

:

H

0

=

$

5451

not claim

:

H

1

<

$

5451

claim

This hypothesis test is a

two-tailed

test.

Part 2 of 5

(b) Find the critical value(s). Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas.

Critical value(s):

myanswer2.479

Part 3 of 5

(c) Compute the test value. Always round

t

score values to at least three decimalplaces.=

t

myanswer1.948

Part 4 of 5

(d) Make thedecision.

Do not reject

the nullhypothesis.

Part:4 / 5

4 of 5 Parts Complete

Part 5 of 5

(e) Summarize theresults.

There

is not

enough evidence to support the claim that the nationwide franchise's mean cost for teeth straightening is less than$

5451

.