Rust-Oleum is a company that manufactures and sells spray paint. Their American Accents line of spray paints are guaranteed to contain 15 ounces of paint per can. Due to the fact that under-filling cans of spray paint is bad for customer relations and over-filling spray paint cans is dangerous, Rust-Oleum has a strict quality control process. Every 2.5 hours, a quality control officer randomly selects a sample of 26 spray paint cans from the manufacturing line and carefully weighs them to ensure that each can of paint contains 15 ounces, on average. If the sample mean is found to be sufficiently different than 15 ounces, the manufacturing line is shut down and inspected. The mean weight of a recent sample of 26 spray paint cans was found to be 14.57 ounces with a standard deviation of 0.69 ounces. Use the critical value method to test the hypothesis that the mean weight of the spray paint cans from this manufacturing line is different than 15 ounces, using a significance level of 2%. Assume that the distribution of all spray paint cans from Rust-Oleum is known to be approximately normally distributed. State the null and alternative hypothesis for this test. H0: = > < p = p p p p > p H1:

Determine the critical value(s) for this hypothesis test. Round the solution(s) to four decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. Determine the test statistic. Round the solution to four decimal places.