3: A random sample of 100 graduate students was gathered by a researcher and questioned about the amount of time they spend each week on their courses. Please record all answers in two decimal places. 1. If the sample average time spent on studies is 15 hours a week, with a standard deviation of 8 hours, what is the standard error for this Study ? 2. Compute the 95% Confidence Interval estimate of the upper and lower bounds of time spent on graduate study Lower Bound: Upper Bound Question 4 Corrections officers completed a training about the management of their facilities during the COVID pandemic. The scores were distributed normally with a mean of 81 and a standard deviation of 7. Please record Z scores in two decimal places. Percentages should be shown as whole number, ex. 85 or 85%. Probabilities from the Z table should be shown as proportions in four decimal places. A percentile rank is shown as a whole number, ex. 76 1. What percentage of officers scored an 81 or above 2. What is the Z score for the officer whose raw score was a 66 3. What is the probability that an officer chosen at random would have a score above 75? 4. What is the Z score for an officer whose raw score was a 90? 5. What is the percentile rank for the officer whose score is a 90? 6. What Z score would be needed to the in the 95th percentile - the top 5% 7. What would the raw score be for the officer in the 95th percentile? Record this response as a whole number