Suppose the average reading speed of 15 randomly selected elementary school students is 25,and the average reading speed of 15 randomly selected junior high school students is 31.You compute an independent samples t-test,and your is 3.12,which is statistically significant.Which of the following is the most appropriate conclusion?
A)Increases in age cause increases in reading speed.
B)We have evidence that older students tend to read faster.
C)There is a proven relationship between age and reading speed.
D)The difference between the older and younger students is due to sampling error.

Question

Suppose the average reading speed of 15 randomly selected elementary school students is 25,and the average reading speed of 15 randomly selected junior high school students is 31.You compute an independent samples t-test,and your  is 3.12,which is statistically significant.Which of the following is the most appropriate conclusion?
A)Increases in age cause increases in reading speed. 
B)We have evidence that older students tend to read faster. 
C)There is a proven relationship between age and reading speed. 
D)The difference between the older and younger students is due to sampling error.

Quizplus · Accepted Answer

The result of the independent samples t-test indicates that there is a significant difference between the average reading speeds of elementary and junior high school students. The most appropriate conclusion is that, on average, older students tend to read faster than younger students. However, this conclusion does not necessarily imply a causal relationship between age and reading speed. Additionally, it is not appropriate to conclude that there is a proven relationship between age and reading speed based solely on the results of this study. Finally, the significant t-test result strongly suggests that the observed difference between the groups is due to a true difference in the populations (i.e., not just sampling error).

Suppose the Average Reading Speed of 15 Randomly Selected Elementary