Suppose that the amount of time that students spend studying inthe library in one sitting is normally distributed with mean 43minutes and standard deviation 17 minutes. A researcher observed 43students who entered the library to study. Round all answers to 4decimal places where possible.
What is the distribution of X?X ~ N(,)
What is the distribution of x¯? x¯ ~ N(,)
What is the distribution of ∑x? ∑x ~ N(,)
If one randomly selected student is timed, find the probabilitythat this student's time will be between 41 and 44 minutes.
For the 43 students, find the probability that their averagetime studying is between 41 and 44 minutes.
Find the probability that the randomly selected 43 students willhave a total study time more than 1978 minutes.
The top 20% of the total study time for groups of 43 studentswill be given a sticker that says \"Great dedication\". What is theleast total time that a group can study and still receive asticker? _minutes
