Assume that the data in question 25 reflect a highly skewed interval variable.
(a) What statistics would you compute to summarize these conditions? (b) We
compute them to be 14, 12, and 8.5, respectively. What conclusion about the study should you draw?(c) What conclusion would you draw about the populations produced by this experiment?
To summarize the conditions of a highly skewed interval variable, you would typically compute measures of central tendency (mean, median) and measures of dispersion (range, interquartile range, standard deviation). Additionally, it is also useful to visually inspect the data using histograms or box plots to get a better understanding of the skewness.
(a) In this case, assuming that the data in question 25 is a highly skewed interval variable, you should compute the mean, median, and possibly the standard deviation to summarize the conditions.
(b) Given that the computed statistics are 14 for the mean, 12 for the median, and 8.5 for the standard deviation, we can draw some conclusions about the study. Firstly, the fact that the median (12) is lower than the mean (14) suggests that the distribution is positively skewed. This is because the mean is influenced by extreme values on the higher end of the distribution. Additionally, a relatively high standard deviation (8.5) indicates that the data points are spread out widely from the mean.
Based on these statistics, we can infer that there is a presence of outliers or extreme values on the higher end of the distribution, pulling the mean upwards. This suggests that the data is not evenly distributed and may contain some unusual or anomalous values.
(c) Regarding the populations produced by this experiment, it is important to note that we cannot directly draw conclusions about populations solely based on the statistical properties of one variable. Further analysis and consideration of other factors are necessary to draw meaningful conclusions about the populations.