A marketing firm is doing research for an Internet-based company. It wants to appeal to the age group of people who spend the most money online. The company wants to know if there is a difference in the mean amount of money people spend per month on Internet purchases depending on their age bracket. The marketing firm looked at two age groups, 18-24 years and 25-30 years, and collected the data shown in the following table. Let Population 1 be the amount of money spent per month on Internet purchases by people in the 18-24 age bracket and Population 2 be the amount of money spent per month on Internet purchases by people in the 25-30age bracket. Assume that the population variances are not the same.  Internet Spending per Month   1818-2424 Years 2525-3030 Years Mean Amount Spent 62.75 55.47 Standard Deviation 15.12 16.46 Sample Size 16 21

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A marketing firm is doing research for an Internet-based company. It wants to appeal to the age group of people who spend the most money online. The company wants to know if there is a difference in the mean amount of money people spend per month on Internet purchases depending on their age bracket. The marketing firm looked at two age groups, 18-24 years and 25-30 years, and collected the data shown in the following table. Let Population 1 be the amount of money spent per month on Internet purchases by people in the 18-24 age bracket and Population 2 be the amount of money spent per month on Internet purchases by people in the 25-30age bracket. Assume that the population variances are not the same.
 Internet Spending per Month
  1818-2424 Years 2525-3030 Years
Mean Amount Spent 62.75 55.47
Standard Deviation 15.12 16.46
Sample Size 16 21
 
Step 1 of 2: 
Construct an 80% confidence interval for the true difference between the mean amounts of money per month that people in these two age groups spend on Internet purchases. Round the endpoints of the interval to two decimal places, if necessary.
Interpret the confidence interval (0.29,14.27)(0.29,14.27) obtained in Step 1. and why
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