Question

Come up with your own testable problem ( not published) and provide an elaborate step by step solution on how you can use Ho and Ha hypothesis to test your theory. Then, tell us how you apply the resulting hypothetical p to determine whether or not to reject the null hypothesis. Try to do this using the Z or T statistic and the P value concept.

Answer #1

My own testable problem:

The mean height of all students in my college is known to be 171.17 cm and standard deviation 3.30 cms. In my batch consisting of 400 students, mean height is 171.38 cms. Can this be regarded as a sample from the whole population of students?

Step by step Solution:

Step 1:

H0: Null hypothesis: = 171.17

HA: Alternative hypothesis: 171.17

Step 2:

n = sample size = 400

= sample mean = 171.38

= Population mean = 171.17

= Population SD = 3.30

SE = / = 3.30/ = 0.165

Step 3:

The test statistic is:

Z = ( - )/SE

= (171.38 - 171.17)/0.165 = 1.27

Step 4:

Table of Area Under Standard Normal Curve gives area = 0.3980

So,

P value = (0.5 - 0.3980) X 2 = 0.2040

Sep 5:

Take = 0.05

Since P value = 0.2040 is greater than = 0.05, H0 is accepted

Conclusion:

The given sample can be regarde as on from the population of all students of my college.

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