Asked by Leslie Nguyen on Jun 04, 2024

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An investigator conducts a statistical test to determine whether the difference between the experimental group and the control group was statistically significant. Other things being equal, the difference is most likely to be significant if

A) the standard deviation was high for each group.
B) the mean of one group was much larger than the mean of the other group.
C) both groups had a small number of participants.
D) the mean for each group was about the same size as the standard deviation.

Standard Deviation

A statistical measure of the dispersion or variability within a data set, indicating how spread out the numbers are from the mean.

Statistically Significant

This term implies that the likelihood of the results happening by random chance is very low, underlining the importance of the findings.

Mean

In statistics, the arithmetic average of a set of numbers, calculated by adding all the values together and then dividing by the number of values.

  • Appreciate the value of larger sample sizes and their influence on the reliability of study results.
  • Comprehend the principle of statistical significance and its effects on the results of experiments.
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ZK
Zybrea KnightJun 06, 2024
Final Answer :
B
Explanation :
The difference between the experimental group and the control group is more likely to be significant if the mean of one group is much larger than the mean of the other group. This is because the larger the difference between the means, the less likely it is that the difference is due to chance. A high standard deviation can make it difficult to detect differences between groups, a small number of participants can decrease the statistical power of the test, and having means around the same size as the standard deviation can make it difficult to interpret the results.