Answered: teacher would like to estimate the mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200 steps. Which of these statements is a correct interpretation of the confidence level?

A) Approximately 98% of students take between 8,500 and 10,200 steps per day.

B) The teacher can be 98% confident that the interval from 8,500 to 10,200 captures the true mean number of steps taken by students during the school day.

C) If many random samples of size 50 are selected from all students at this school, approximately 98% of the intervals would capture the true mean number of steps taken during the school day.

D) Approximately 98% of the intervals, based upon random samples of size 50 from all students in the high school, will find that the students at this school take approximately 8,500 to 10,200 steps during the school day.

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