Rust-Oleum is a company that manufactures and sells spray paint. Their American Accents line of spray paints are guaranteed to contain 7 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 3 hours, a quality control officer randomly selects a sample of 30 spray paint cans from the manufacturing line and carefully weighs them to ensure that each can of paint contains 7 ounces, on average. If the sample mean is found to be sufficiently different than 7 ounces, the manufacturing line is shut down and inspected. The mean weight of a recent sample of 30 spray paint cans was found to be 7.16 ounces with a standard deviation of 0.47 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 7 ounces, using a = 0.001. 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. Ho: ? v H1: ? v Determine if this test is left-tailed, right-tailed, or two-tailed. O right-tailed O two-tailed O left-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The Student's t distribution should be used O The standard normal (z) distribution should be used 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. Determine the appropriate conclusion for this hypothesis test. O The sample data provide sufficient evidence to reject the alternative hypothesis that the mean spray paint can weight is different from 7 and thus we conclude that the manufacturing line does not need inspection. O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean spray paint can weight is different from 7 and thus we conclude that the manufacturing line needs inspection.