Question

( please make answer clear and please answer quick)

**College tuition**: The mean annual tuition and
fees in the 2013 -2014 academic year for a sample of
14 private colleges in California was $33,500 with a
standard deviation of

$7350. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is less than $35,000? Use the =α0.10 level of significance and the P-value method with the TI-84 Plus calculator.

A. State the appropriate null and alternate hypotheses

H0: __ H1: __ This hypothesis test is a (Choose one)( right, left, or two tailed) test. |

B.Compute the*P*-value. Round the *P**-*
value to at least four decimal places.

*P*-value__??

C. Determine whether to reject*H*0

(**Reject** OR **do not reject
hypothesis**) the null hypothesis*H*0

D. State a conclusion. There **is or is not**
enough information to support claim

Answer #1

Solution:

a)

H_{0} : = 35000

H_{1} : < 35000

This hypothesis test is a left tail.

b.)

t test for mean on TI*$ plus calculator:

Press STAT

Go to TESTS menu.

2. t TEST

Our inputs is Stats

: 35000

: 33500

sx : 7350

n : 14

: <

Calculate

Output:

t = -0.7636

p = 0.2294

*P*-value = 0.2294

C)

**do not reject** the null hypothesis
*H*0

D)

There **is not** enough information to support
claim.

College tuition: The mean annual tuition and fees in the
2013-2014 academic year for a sample of 14 private colleges in
California was $33,500 with a standard deviation of $7350. A
dotplot shows that it is reasonable to assume that the population
is approximately normal. Can you conclude that the mean tuition and
fees for private institutions in California is less than $35,000?
Use the a=0.10 level of significance and the P-value method with
the TI-84 Plus calculator.
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(PLEASE make answer clear)
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