A cold medicine lists 600 milligrams of acetaminophen per fluid ounce as an active ingredient. A test of 65 one-ounce samples of the medicine finds that the mean amount of acetaminophen for the sample is 598 milligrams with a standard deviation of 21 milligrams. Test the claim that the medicine does not contain the required amount of acetaminophen. Use a 0.05 significance level. State the null and alternative hypotheses.
A cold medicine lists 600 milligrams of acetaminophen per fluid ounce as an active ingredient. A...
Hypothesis Testing Worksheet 1. The cold medicine Dozenol list 600 milligrams of acetaminophen per fluid Ounce as an active ingredient. The Food and Drug Administration tests 65 one-ounce samples of the medicine and finds that the mean amount of acetaminophen for the sample is 589 milligrams with a standard deviation of 21 milligrams. Test the claim of the FDA that the medicine does not contain the required amount of acetaminophen at the level of significance 0.05. 2. The Medassist Pharmaceutical...
A prescription allergy medicine is supposed to contain an average of 245 parts per million (ppm) of active ingredient. The manufacturer periodically collects data to determine if the production process is working properly. A random sample of 64 pills has a mean of 250 ppm with a standard deviation of 12 ppm. Let µ denote the average amount of the active ingredient in pills of this allergy medicine. The null and alternative hypotheses are Ho: µ = 245, Ha: µ...
22. Describe how the relationship between x and y changes as ra goes from 0 to 1. (2) 23. A study of sport and compact car colors shows that 15.2% are green, 14.4% are white, 19.8% are red, 11.2% are black, and 39.4% are other colors. When 100 trucks and vans are randomly selected, it is found that 16 are green, 24 are white, 16 are red, none are black, and 44 are other colors. Is there sufficient evidence to...
A data set lists earthquake depths. The summary statistics are n=600, x̅=6.68 km, s=4.55 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
A data set lists earthquake depths. The summary statistics are n=600, x overbarequals5.36 km, s=4.59 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
5. The active ingredient of a particular kind of drug tablet has traditionally been measured by method A. A cheaper and quicker method B has been developed but its reliability has to be tested against method A. Each of 10 tablets is divided into two halves and the amount of active ingredient (in milligrams) is measured, one half-tablet by method A and the other by method B. The results are given below. Tablet Method A Method B Difference 97.2 97.2...
Real Fruit Juice: A 32 ounce can of a popular fruit drink claims to contain 20% real fruit juice. Since this is a 32 ounce can, they are actually claiming that the can contains 6.4 ounces of real fruit juice. The consumer protection agency samples 56 such cans of this fruit drink. Of these, the mean volume of fruit juice is 6.32 with standard deviation of 0.23. Test the claim that the mean amount of real fruit juice in all...
A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 25 of them were given multivitamin tablets daily which contain 3 grams of vitamin C and various other vitamins and minerals. The remaining 25 volunteers were given placebo tablets. For each individual, the length of time taken to recover from cold is recorded. At the end of the experiment following data are obtained: Days to recover...
Problems 9-12: A bottle of Sunny Day orange juice is supposed to contain 64 ounces of juice. A random sample of 25 bottles of orange juice had a mean of 63.8 oz. with a standard deviation of 0.35 oz. Use a 0.05 significance level to test the claim that the mean amount of juice in all bottles is different from 64 ounces. State the appropriate null and alternative hypotheses. B 1 A 9 A ve G a + E =...
Question Help A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each Click the icon to view the data table of the riding times. Determine the null and alternative hypotheses Ho: Hi H2=43 H: At least one of the three...