#28). Both pictures are the same equation. State the null and alternative hypothesis for this test.Ho: ?H: ? vDetermine if this test is left-tailed, right-tailed, or two-tailed.O right-tailedO two-tailedO left-tailedShould the standard normal (2) distribution or Student's (t) distribution be used for this test?O The Student's t distribution should be usedO The standard normal (z) 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 alternative hypothesis that the mean spraypaint can weight is different from 7 and thus we conclude that the manufacturing line does not needinspection.O The sample data do not provide sufficient evidence to reject the alternative hypothesis that themean spray paint can weight is different from 7 and thus we conclude that the manufacturing lineneeds inspection.O The sample data provide sufficient evidence to reject the null hypothesis that the mean weight ofthe spray paint cans is 7 and thus we conclude that the manufacturing line needs inspection.O The sample data do not provide sufficient evidence to reject the null hypothesis that the meanweight of the spray paint cans is 7 and thus we conclude that the manufacturing line does not needinspection. Rust-Oleum is a company that manufactures and sells spray paint. Their American Accents line of spraypaints are guaranteed to contain 7 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 3 hours, a quality control officer randomly selects a sample of 30 spray paintcans from the manufacturing line and carefully weighs them to ensure that each can of paint contains 7ounces, on average. If the sample mean is found to be sufficiently different than 7 ounces, themanufacturing 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 standarddeviation of 0.47 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 7 ounces, using a = 0.001. 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: ?H :? vDetermine if this test is left-tailed, right-tailed, or two-tailed.O right-tailedO two-tailedO left-tailedShould the standard normal (z) distribution or Student's (t) distribution be used for this test?O The Student's t distribution should be usedO The standard normal (2) 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 alternative hypothesis that the mean spraypaint can weight is different from 7 and thus we conclude that the manufacturing line does not needinspection.O The sample data do not provide sufficient evidence to reject the alternative hypothesis that themean spray paint can weight is different from 7 and thus we conclude that the manufacturing lineneeds inspection.

Question

Accepted Answer

From the provided information,
Sample size (n) = 30
Sample mean (x̄) = 7.16
Standard deviation (s) =…