The mean annual tuition and fees in the 2009-2010 academic year for a simple ran

Question

The mean annual tuition and fees in the 2009-2010 academic year for a simple random sample of 14 private colleges in California was S30,500 with a standard deviation of reasonable to assume that the population this sample was taken from is approximately normal. Test the claim that the mean tuition and fees for private institutions in Califomia differs from $30,000 using a 0.10 level of significance. claim in symbolic form. 30 coo opposite in symbolic form: 3Bao in mbolic: 330 Hi in symbolic form: Which curve is appropriate? (circle one) Degrees of freedom (if not applicable, write NONE on the blank) What is the tail structure of the test? (circle one) left right What is (are) the critical value(s)? What is the value of the test statistic?

Explanation / Answer

claim in symbolic :
Ha : mu not equal to 30000

Opposite :
H0 : mu equal to 30000

t curve is appropriate

df =13

two tail structure

Critical value for 0.10 significance level with df =13 i s +/- 1.771

Test statistic:
x = 30500 , s = 4500 , n =14 , mean = 30000

t = ( x - mean) / ( s/ sqrt(n))
= ( 30500 - 30000)/( 4500/sqrt(14))
= 0.4157

p value is calculated using t = 0.4157 , df = 13
p value = 68441.

we fail to reject H0

2)

claim in symbolic : p >. 0.05
Opposie in symbolic p = 0.05

Ho in symbolic : p = 0.05

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