The mean annual tuition and fees for  a sample of 14 private colleges in California was $37,900 witrh a standard deviation of $7,200. A dotplot shows that it is reasonable to assume that the population is approxiamately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,000?a. State the null and alternate hypothesis.b. Compute the value of the t statistic. How many degrees of fredom are there?

Question
Asked Oct 14, 2019

The mean annual tuition and fees for  a sample of 14 private colleges in California was $37,900 witrh a standard deviation of $7,200. A dotplot shows that it is reasonable to assume that the population is approxiamately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,000?

a. State the null and alternate hypothesis.

b. Compute the value of the t statistic. How many degrees of fredom are there?

check_circleExpert Solution
Step 1

Given data

Hypothesized mean = 35000

 Standard deviation = 7200

Sample mean = 379000

Sample size n = 14

a) Formulation of hypothesis

Null Hypothesis Ho: 35000
Alternative Hypothesis: Ha: i
35000
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Null Hypothesis Ho: 35000 Alternative Hypothesis: Ha: i 35000

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Step 2

Test statistic

37900 35000
= 1.507
t =
7200
Vn
V14
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37900 35000 = 1.507 t = 7200 Vn V14

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Step 3

Degrees of freedom

14 – 1 ...

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