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A coin-operated drink machine was designed to discharge a mean of 6 fuld ounces of coffee per cup. In a test of the machine, the charge atsi31 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 6.13 fuid ounces and 0.31 ounces, respectively If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the pripulation mean discharge, differs from 6 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, consulta list of formulas) (a) State the null hypothesis , and the alternative hypothesis 10 (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.) 0 (e) Can we conclude that the mean discharge differs from 6 fluid ounces? OYes No W O X 5 20 D-DDD DD 0+ 0 0.0 ? G Â
A coin-operated drink machine was designed to discharge a mean of 6 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 21 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 6.12 fluid ounces and 0.21 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, J. differs from 6 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 Ho and the alternative hypothesis H₁. H₂:0 H₁:0 (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.) 0 (e) Can we conclude that the mean discharge differs from 6 fluid ounces? OYes O No P x a 5 X Р 0-0 00 020 ca O*00<0 00 2 Sube