please help with abc Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 23 minutes. A researcher observed 17 students who entered the library to study. Round all answers to 4 decimal places where possible.a. What is the distribution of \( X \)? \( X \sim N(46, 23) \)b. What is the distribution of \( \bar{x} \)? \( \bar{x} \sim N(46, \frac{23}{\sqrt{17}}) \)c. What is the distribution of \( \sum x \)? \( \sum x \sim N(46 \times 17, 23 \times \sqrt{17}) \)d. If one randomly selected student is timed, find the probability that this student’s time will be between 47 and 54 minutes.e. For the 17 students, find the probability that their average time studying is between 47 and 54 minutes.f. Find the probability that the randomly selected 17 students will have a total study time more than 816 minutes.g. For part e) and f), is the assumption of normal necessary? - ☐ No - ☐ Yesh. The top 10% of the total study time for groups of 17 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?\(\_\_\_\_\) minutes

Name: please help with abc Suppose that the amount of time that students spe
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: please help with abc Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 23 minutes. A researcher observed 17 students who entered the library