Question 4 1 pts It is desired to compare the average amount of time students wi
ID: 2908898 • Letter: Q
Question
Question 4 1 pts It is desired to compare the average amount of time students with a tattoo and students without a tattoo exercise per week. Random and independent samples were selected and the data was analyzed in the Statistix software and the following printout was generated: Two-Sample T Tests for Exercise by Tattoc Tattoo No N Mean SD SE 60 7.1167 4.7160 0.6088 22 6.6364 3.5395 0.7546 Difference 0.4803 44374 1.1060 T-Tests for Mean Difference Null Hypothesis: difference Alternative Hyp: difference # 0 Lower Upper P Variances DF T 95% C. 95% C.L Equal 80 0.43 0.6653-1.7207 2.6813 Satterthwaite Unequal 49.7 0.50 0.6225 -1.4675 2.4281 Homogeneity of Variances DF F P Folded F Test 59,21 1.78 0.0731 What would be the correct conclusion if you are testing at alpha .05? At ?..10, we accept Ho. There is sufficient evidence to indicate that the mean exercise times of all tattooed and non-tattooed students are the same. At a-05, we fail to reject Ho. There is sufficient evidence to indicate a difference exists between the mean exercise times of all tattooed and non-tattooed students l e 5 7 0Explanation / Answer
Ans:
Given that
95% confidence interval for difference of means
=(-1.7207, 2.6813)
alpha=0.05
As,above 95% confidence interval includes 0 within its limits,so we fail to reject Ho.
So,the correct option is:
At alpha=0.05,wefail to reject H0.There is insufficient evidence to indicate a difference exists between the mean exercise times of all tattooed and non-tattooed students.
(last option is correct)
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