A machine is filling 30oz bottles of cough medicine. No machine is perfect, so a little bit of variability in volume is acceptable. You decide that a standard deviation of no more than 0.2oz is acceptable. The default assumption is that the machine is working fine, but from time to time, to determine whether the machine might be malfunctioning, you randomly select 45 bottles and measure the volume of cough medicine in them. On one such test, a sample standard deviation of 0.24oz was obtained. At a 5% significance level, conduct the appropriate hypothesis test to determine if the machine is malfunctioning. What would your conclusion be at 1% significance

A coin-operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 16 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 6.86 fluid ounces and 0.2 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, u, differs from 7 fluid ounces? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H1. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to…

In 2009 Noodles & Company introduced spaghetti and meatballs to its menu. Before putting it on the menu, it performed taste tests to determine the best-tasting spaghetti sauce. In a paired comparison, 53 tasters were asked to rate their satisfaction with two different sauces on a scale of 1–10, with 10 being the highest. Assume equal population variances. The mean difference in ratings was d¯d¯ = -0.42158 with a standard deviation of sd = 1.17640. Use α = 0.05. Find the critical value tcrit for α = .05.  Find the p-value.

A coin-operated drink machine was designed to discharge a mean of 8 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 22 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.11 fluid ounces and 0.19 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ, differs from 8 fluid ounces? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. : (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) (e)…