Use a 0.05 significance level to test the claim that there is a difference betwe

Question

Use a 0.05 significance level to test the claim that there is a difference betweer reported heights, in inches, for 12-16 year old boys Reported Actual 65 68 71 62 61 69 64.6 67.3 70.4 61.1 62.4 69.1 66.2 69.4 62 65,8 59.9 73 70 62 67 60 72 Is there sufficient evidence to support H the claim that there is a difference b and reported heights for 12-16 year old boys? o, because the test statistic is less than or equal to the critical value es, because the test statistic is greater than the critical value es, because the test statistic is less than or equal to the critical value No, because the test statistic is greater than the critical value

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Reported and Actual
H0 : D = 0
HA : D 0
Hypothesis test results:

Hence,

We do not reject Ho since test statistic is less than or equal to the critical value.

Option A is correct.

Difference Mean Std. Err. DF T-Stat P-value Reported - Actual 0.15 0.21967607 11 0.68282358 0.5088

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