Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 40 minutes and standard deviation 19 minutes. A researcher observed 13 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 40 19 b. What is the distribution of x? - N( 40 5.2697V c. What is the distribution of ) x? > a N( 520 VI 247 d. If one randomly selected student is timed, find the probability that this student's time will be between 41 and 45 minutes. 68.5055 e. For the 13 students, find the probability that their average time studying is between 41 and 45 minutes. 5.2697 f. Find the probability that the randomly selected 13 students will have a total study time more than 507 minutes. 6.2670 g. For part e) and f), is the assumption of normal necessary? YesO No o h. The top 20% of the total study time for groups of 13 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? 8.4038 Xminutes

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.