A researcher states that the time that urban preschool children between 3 and 5 years spend watching television per week has an average of 22.6 hours and a standard deviation of 6.1 hours. A market research company believes that the proclaimed mean is very small. To test their hypothesis, a random sample of 60 urban preschool children is taken and the time they spend watching television is measured, with parents registering it daily on a record sheet. If the weekly mean time spent watching television is 25.2 hours and the population standard deviation is assumed to be 6.1 hours, should the researchers' statement with an α value of 0.01 be rejected?
