The raw scores on the standardized reading test are normally distributed so the raw scores can be converted into a distribution of Z scores. If we want to mark the lower 5% of the distribution on the Z distribution, what is the Z value that is the cut-off point for that 5% tail region? (Answer with the exact Z value found from the Z table)
What would be the cut-off raw score if we want to mark the bottom 5% on the distribution of raw scores? The population mean of the reading scores is 100 and the standard deviation is 10. (Round the answers to two decimal places)