In a survey to estimate the mean time spent by office workers per day checking for and sending out e-mails, a random sample of 30 office workers were selected. The sample mean time spent checking for and sending out e-mails by the 30 office workers per day was reported to be 2 hours. Assumed that the population standard deviation of time spent checking for and sending out e-mails per day was 20 minutes i. Estimate the 95% confidence interval for the true mean time spent checking for and sending out e-mails per day by all the office workers. ii. What must be the minimum sample size so that the sampling eror of part (i) do not exceed 5 minutes at the 95°% confidence level?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
icon
Related questions
Topic Video
Question
In a survey to estimate the mean time spent by office workers per day checking for
and sending out e-mails, a random sample of 30 office workers were selected. The
sample mean time spent checking for and sending out e-mails by the 30 office
workers per day was reported to be 2 hours. Assumed that the population standard
deviation of time spent checking for and sending out e-mails per day was 20 minutes
a.
i.
Estimate the 95% confidence interval for the true mean time spent checking
for and sending out e-mails per day by all the office workers.
ii.
What must be the minimum sample size so that the sampling error of part (i)
do not exceed 5 mimutes at the 95% confidence level?
!!
Transcribed Image Text:In a survey to estimate the mean time spent by office workers per day checking for and sending out e-mails, a random sample of 30 office workers were selected. The sample mean time spent checking for and sending out e-mails by the 30 office workers per day was reported to be 2 hours. Assumed that the population standard deviation of time spent checking for and sending out e-mails per day was 20 minutes a. i. Estimate the 95% confidence interval for the true mean time spent checking for and sending out e-mails per day by all the office workers. ii. What must be the minimum sample size so that the sampling error of part (i) do not exceed 5 mimutes at the 95% confidence level? !!
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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