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?

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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? !!
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