Suppose you plan to take a survey of Math&146 students asked how many miles they commute from their house to CBC's Pasco campus. In a preliminary survey, 25 students were surveyed, and it was found that the average distance from student's houses to campus, of the 25 sampled students, was 11.3 miles, with a standard deviation of 5.3 miles. Suppose you want to re-sample the population to reduce the margin of error. If you plan to calculate a 95% confidence interval for the true mean commute of students, how many samples would be necessary to reduce the margin of error to 1.5 miles? Roynd your answer to the nearest whole number, and remember it's always better to sample too many rather than not enough.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question
Suppose you plan to take a survey of Math&146 students asked how many miles they commute
from their house to CBC's Pasco campus. In a preliminary survey, 25 students were surveyed, and it
was found that the average distance from student's houses to campus, of the 25 sampled students,
was 11.3 miles, with a standard deviation of 5.3 miles.
Suppose you want to re-sample the population to reduce the margin of error. If you plan to
calculate a 95% confidence interval for the true mean commute of students, how many samples
would be necessary to reduce the margin of error to 1.5 miles?
Roynd your answer to the nearest whole number, and remember it's always better to sample too
many rather than not enough.
O None of these are correct
47 students
43 students
48 students
42 students
Transcribed Image Text:Suppose you plan to take a survey of Math&146 students asked how many miles they commute from their house to CBC's Pasco campus. In a preliminary survey, 25 students were surveyed, and it was found that the average distance from student's houses to campus, of the 25 sampled students, was 11.3 miles, with a standard deviation of 5.3 miles. Suppose you want to re-sample the population to reduce the margin of error. If you plan to calculate a 95% confidence interval for the true mean commute of students, how many samples would be necessary to reduce the margin of error to 1.5 miles? Roynd your answer to the nearest whole number, and remember it's always better to sample too many rather than not enough. O None of these are correct 47 students 43 students 48 students 42 students
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill