According to the Bureau of Labor Statistics, Americans spend on average $2,913 in 2016 on entertainment. Assume the population standard deviation of this spending is $873. A random sample of 31 adults was selected and was found to have an average spending of $2,700 on entertainment.

a. Does this sample provide support for the conclusions of the BLS poll?

b. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $2913 per month.