For this case, researchers wanted to know if smokers and non-smokers had differe

Question

For this case, researchers wanted to know if smokers and non-smokers had different brain sizes (i.e did brain size predispose a person to be a smoker or a non-smoker) The T-test is used because we can't include everyone in the world ie, total population, in the test But our data sample is a small collection of people which is our sample size compared to the total population, we wanted to test the difference between two means which were Independent means i.e, each person has only be measured once, Dependent variable has to be measured on a continuous scale. For this case, brain size was measured using an MRI (magnetic Resonance imaging) system for a group of 19 smokers and a group of 17 non smokers. We want a Two Tail evaluation. H_o is that smokers and non-smokers have the same brain size. The calculated T value based upon the data was 3.07 To look up the T Table value, from our data we now that the degrees of freedom (df) = 34 and we want a 95% confidence so alpha = .05, using the table below, the critical T Test value _____? Based on this, do we reject or accept the H_o (i.e, the null hypothesis) that smokers and non-smokers have the same brain size.

Explanation / Answer

Solution:-

t value = 3.07

D.F = 34

Tcritical = 2.042 (By using given table)

Since t value(3.07) is greater than the tcritical(2.042), so we have to recject the null hypothesis.

From the above test we do not have sufficient evidence in the favor of the claim that non smokers and smokers have the same brain size.

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