Mrs. benjamin analyzed the scores her 24 students earned on their most recent vocabulary test. the results showed a mean score of 76 (out of 100), a median score of 80, and a range of 38. select all the statements that can be supported by the data.
a. the lowest score earned by any student was a 38.
b. 50% of the students earned a score of 80 or higher.
c. 25% of the students earned a score of 80 or lower.
d. the highest score earned by any student was a 76.
e. the highest score was 38 points greater than the lower score.

Arandom sample of 15 observations is used to estimate the population mean. the sample mean and the standard deviation are calculated as 172 and 63, respectively. assume that the population is normally distributed. a. with 99 confidence, what is the margin of error for the estimation of the population mean? b. construct the 99% confidence interval for the population mean. c. construct the 95% confidence interval for the population mean. d. construct the 83% confidence interval for the population mean. hint: you need to use excel function =t. inv.2t to find the value of t for the interval calculation.