A company that packages salted peanuts has stated that each package weighs 11 ounces. However, the company has received complaints that the packages are underweight. To assess this situation, suppose the company has conducted a statistical study that concluded the average weight of packages is indeed 11 ounces. A consumer organization, while acknowledging the finding that the mean weight is 11 ounces, claims that more than 50% of the peanut packages weigh less than 11 ounces and that a few heavy packages pull the mean up, thereby cheating a majority of customers. A sample of 20 peanut packages was selected. The data obtained follow:

10.9 11.7 10.5 11.8 10.2 11.5 10.8 11.2 11.8 10.7 10.6 10.9 11.6 11.2 11.0 10.7 10.8 10.5 11.3 10.1 Test the consumer organization’s claim at a significance level of 0.05.