Rust Oleum is a company that manufactures and sells spray paint Their American Accents line of spray paints are guaranteed to contain 16 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 17 spray paint cans from the manufacturing line and carefully weighs them to ensure that each can of paint contains 16 ounces on average If the sample mean is found to be sufficiently different than 16 ounces the manufacturing line is shut down and inspected The mean weight of a recent sample of 17 spray paint cans was found to be 15 83 ounces with a standard deviation of 0 54 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 16 ounces using a significance level of 1 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 H Determine if this test is left tailed right tailed or two tailed right tailed two tailed left tailed Should the standard normal 2 distribution or Student s t distribution be used for this test The Student s distribution should be used The standard normal 2 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 The sample data provide sufficient evidence to reject the alternative hypothesis that the mean spray paint can weight is different from 16 and thus we conclude that the manufacturing line does not need inspection The sample data do not provide sufficient evidence to reject the null hypothesis that the mean weight of the spray paint cans is 16 and thus we conclude that the manufacturing line does not need Inspection The sample data provide sufficient evidence to reject the null hypothesis that the mean weight of the spray paint cans is 16 and thur v