Jimmy sells custom wood signs on Etsy. Over the past year the mean monthly income from the business was $1596 with a standard deviation of $235. He expects next year’s sales to be similar. a)Construct...

Jimmy sells custom wood signs on Etsy. Over the past year the mean monthly income from the
business was $1596 with a standard deviation of $235. He expects next year’s sales to be similar.
a)Construct a 99% confidence interval for next year’s mean monthly income. Interpret your result.
b) If in the above scenario, a claim is made that the population mean monthly income is $1500. Would this
claim be valid or invalid, based on the results in part (a)