Rust-Oleum is a company that manufactures and sells spray paint. Their American Accents line of spraypaints are guaranteed to contain 16 ounces of paint per can. Due to the fact that under-filling cans of spraypaint is bad for customer relations and over-filling spray paint cans is dangerous, Rust-Oleum has a strictquality control process. Every 1.5 hours, a quality control officer randomly selects a sample of 29 spraypaint cans from the manufacturing line and carefully weighs them to ensure that each can of paint contains16 ounces, on average. If the sample mean is found to be sufficiently different than 16 ounces, themanufacturing line is shut down and inspected.The mean weight of a recent sample of 29 spray paint cans was found to be 16.02 ounces with a standarddeviation of 0.11 ounces.Use the critical value method to test the hypothesis that the mean weight of the spray paint cans from thismanufacturing line is different than 16 ounces, using a = 0.1. Assume that the distribution of all spraypaint cans from Rust-Oleum is known to be approximately normally distributed.State the null and alternative hypothesis for this test.Ho: ? VH₁: ?Determine if this test is left-tailed, right-tailed, or two-tailed.Oright-tailedⒸleft-tailedOtwo-tailedShould the standard normal la dictribution or Studente (4) distribution ho lead for this tact? Should the standard normal (2) distribution or Student's (t) distribution be used for this test?O The standard normal (z) distribution should be usedO The Student's t distribution should be usedDetermine the critical value(s) for this hypothesis test. Round the solution (s) to four decimal places. Ifmore 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 null hypothesis that the mean weight ofthe spray paint cans is 16 and thus we conclude that the manufacturing line needs inspection.O The sample data do not provide sufficient evidence to reject the alternative hypothesis that themean spray paint can weight is different from 16 and thus we conclude that the manufacturing lineneeds inspection.O The sample data do not provide sufficient evidence to reject the null hypothesis that the meanweight of the spray paint cans is 16 and thus we conclude that the manufacturing line does not needinspection.The sample data provide sufficient evidence to reject the alternative hypothesis that the mean spraypaint can weight is different from 16 and thus we conclude that the manufacturing line does notneed inspection.1776°F

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