July 26, 2012- Discussing of finding the test value where n< 30.

    Last Thursday, Ms. Macatigos discuss further about finding the test value where n is less than 30. She said that the formula for the test value where n <30 is just the as the formula where n > 30. She told as that the formula is t = sample mean- hypothesized population mean/ sample deviation / square root of n or t = x̅ - μ /s/n.

   For Example using the P-Value Method:

           

          A physician claims that joggers maximal volume oxygen uptake is greater than the average of all adults. A sample of 15 joggers has a mean of 40.6 milliliters per kilograms and a standard deviation of 6ml/kg. If the average of all adults is 36.7 ml/kg, is there enough evidence to support the physicians claim at a= 0.05?

Solution:

     STEP 1:State the Hypothesis

                      Null hypothesis = m ≤ 36.7 and alternative hypothesis = m >  36.7

    STEP 2: Compute the test value

                     t= 40.6-36.7 / 6 / square root of 15 = 2.527

    STEP 3: Find the P-Value.

                     Looking across the row with d.f = 14 in Table F, 2.527 falls between

                       2.145 and 2.624. Therefore, 0.01 < P-Value < 0.025

    STEP 4: Make the decision:

                      Reject the null hypothesis since the P- Value < 0.05 ( P-Value< a)

    STEP 5: Summarize the results

                      There is enough evidence to support the claim that the joggers maximal volume oxygen uptake is greater than 36.7 ml/kg.

          

               Hope you agree with the solution and also understand the discussion

       After the short discussion, our teacher gave us some sort of test about the topic to see if really we have learned something and if we are really listening.

By: Dustin Joshua Esquia III- Gold