Statistics and Probabilities

9. Consider the variable x = time required for a college student to complete a standardized exam. Suppose that for the population of students at a partielar university, the distribution of x is well approximated by a normal curve with mean 45 min and standard deviation 5 min. Consider random samples of size 25 from the population. 3. Sketch the sampling distribution of the sample mean. You need not get the graph perfectly correct, but should clearly indicate different aspects of the distribution, such as mean, standard deviation, and shape. Mea(o''lx}= Standard deviation ( (7x) = Shape: Sketch the sampling distribution of the sample mean- b. What is the probabth that a sample of size n=25 'om the population would result in a sample mean greater than 46 minutes? a. Findilrsuehthat P(x