In the article “Effect of Pregnenolone vs Placebo on Self-reported Chronic Low Back Pain Among US Military Veterans A Randomized Clinical Trial” published in JAMA Network Open (Naylor, 2020), the authors reported the statistics on a pretreatment measure of pain intensity, shown in Table 5.14, for a group of patients receiving pregnenolone or a placebo. Use the information in Table 5.14 to answer the following questions.

(a) Compute the value of the estimated standard error of the sample mean for the placebo group.

(b) Compute the value of the bound on the error of estimation associated with the sample mean for the placebo group. 

(c) Compute the value of the estimated standard error of the sample mean for the pregnenolone group.

(d) Compute the value of the bound on the error of estimation associated with the sample mean for the pregnenolone group.