(Solved): It is known that Stat 351 students spend, on average, 5 hours on the final exam with a standard dev ...

It is known that Stat 351 students spend, on average, 5 hours on the final exam with a standard deviation of 366 hours 0. (2pts) A sample of 100 students is selected. What is approximately the probability that the sample average of the number of hours studied for these students is greater than \( 5.1 \) ? (Round answers to 4 decimal points) Probability: b. (2pts) It is known that the distribution of the number of hours spent on the final does not have any outliers, but is not normally distributed. Is this probiematic when computing the probability in part a)? Yes, this probability cannot be approximated accurately unless the data is normally distributed No, the individual observations are approximately normal due to the central limit theorem No, the sample mean is approximately normal due to the central limit theorem No, the individual observations are approximately normal due to the law of large numbers No, the sample mean is approximately normal due to the law of large numbers: