A website advertises job openings on its website, but job seekers have to pay to access the list of job openings. The website recently completed a survey to estimate the number of days it takes to find a new job using its service. It took the last 31 customers an average of 40 days to find a job. Assume the population standard deviation is 10 days. Construct a 99% confidence interval of the population mean number of days it takes to find a job.

Multiple Choice

• [19.3450, 60.6550]
• [34.8535, 45.1465]
• [35.3660, 44.6340]
• [35.9416, 44.0584]