The 2015 general Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 4.2 with a standard deviation of 2.8. Assume that in a sample of 39 teenagers, the sample standard deviation of daily TV time is 2.8 hours, and that the population of TV watching times is normally distributed. Under 10% significance level can you conclude that the population standard deviation of TV watching times for teenagers is less than 2.8?

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