6. An automatic Coffee dispenser is advertised to pour μ-16 oz of coffee with a standard deviation of 6-0.1 oz. An unsatisfied customer wants to know if the automatic Coffee dispenser pours less than 16 oz on average. A random sample of n=49 cups of coffee is taken and is found to have a sample mean x = 15.96 oz. Use a a-5% level of significance to test if the population mean u is less than 16 oz. a) State the null and alternate hypothesis.
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- The EPA recommends avoiding consumption of fish species if the mercury concentration is higher than 0.45 (ug mercury/g uncooked fish). The concentration in a large random sample of marlin was found to be 0.42 ug/g with a margin of error = 0.06 ug/g. Explain whether the EPA should consider marlin a species to avoid for consumption.The supervisor of an orange juice-bottling company is considering the purchase of a new machine to bottle 16-fluid-ounce (473-milliliter) bottles of 100% pure orange juice and wants an estimate of the difference in the mean filling weights between the new machine and the old machine. Random samples of bottles of orange juice that had been filled by both machines were obtained. Estimate the difference in the mean filling weights between the new and the old machines? Dis- cuss the assumptions. Use α = 0.10. New Machine Old MachineMean 470 milliliters 460 millilitersStandard deviation 5 milliliters 7 millilitersSample size 15 12Two types of valves are being tested to determine if there is a difference in pressure tolerances. Fifteen out of a random sample of 100 of Valve A cracked under 4,500 psi. Six out of a random sample of 100 of Valve B cracked under 4,500 psi. Test at a 5% level of significance
- Unfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of u = 8 parts per billion (ppb) is considered safe for agricultural use. A well in Los Banos is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of = 7.3ppb arsenic. It is known that o = 1.9 ppb for this type of data. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use the classical approach. Use a = 0.01 What is the Decision (step 5) for this problem? There is not sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 7.3 ppb. O There is sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 8.0 ppb. There is not sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 8.0 ppb. O There is…If the test value for the difference between the means of two large samples is 2.57 when the critical value is 1.96, what decision should be made? 1.96 2.576. :- . ; The ascorbic acid concentration of five different brands of orange juice was measured. Six replicate samples of each brand were analyzed. The following partial ANOVA table was obtained. Variation Source S df MS F Between juices Within juices 8.45 0.913 Total a. Fill in the missing entries in the table. b. State the null and alternative hypothesis. c. Is there a difference in the ascorbic acid content of the five juices at the 95% confidence level?