2. Average Senior High School annual cost of tuition fee for all private schools last year was Php43,700. A random sample of costs this year for 45 private schools indicated that the sample mean was Php45,800 and a sample standard deviation was Php5,600. At 0.01 level of significance, is there sufficient evidence to conclude that the cost increased? Solution: Step 1: State the hypothesis. ?0: _____________________________________________________________ ?1: _____________________________________________________________ Step 2: The level of significance and critical region. ? = ________ and the ????????? = __________ Step 3: Compute for the value of one sample t test. ????????? = _______ Step 4: Decision Rule. ________________________________________________________________ ___________________________________. Step 5: Conclusion: ________________________________________________________________ _________________________________________________
2. Average Senior High School annual cost of tuition fee for all private schools last year
was Php43,700. A random sample of costs this year for 45 private schools indicated
that the sample mean was Php45,800 and a sample standard deviation was Php5,600.
At 0.01 level of significance, is there sufficient evidence to conclude that the cost
increased?
Solution:
Step 1: State the hypothesis.
?0: _____________________________________________________________
?1: _____________________________________________________________
Step 2: The level of significance and critical region.
? = ________ and the ????????? = __________
Step 3: Compute for the value of one sample t test. ????????? = _______
Step 4: Decision Rule.
________________________________________________________________
___________________________________.
Step 5: Conclusion:
________________________________________________________________
______________________________________________________________________
______________________________________.
3. A certified public accountant claims that more than 30% of all accountants advertise.
A sample of 400 accountants in Rizal province showd that 112 had used some form of
advertising. At a ? = 0.01, is there enough evidence to support the claim? (Use p-value
method).
Solution:
Step 1: State the hypothesis.
?0: _____________________________________________________________
?1: _____________________________________________________________
Step 2: Compute for the value of one sample t test. ????????? = _______
Step 3: Compute for the p – value.
________________________________________________________________
___________________________________.
Step 4: Decision rule:
________________________________________________________________
______________________________________________________________________
______________________________.
Step 5: Conclusion.
________________________________________________________________
______________________________________________________________________
___________________________________.
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