A cold medicine lists 500 milligrams of acetaminophen per fluid ounce as an active ingredient. A test of 75 one-ouncesamples of the medicine finds that the mean amount of acetaminophen for the sample is 497 milligrams with a standarddeviation of 20 milligrams. Test the claim that the medicine does not contain the required amount of acetaminophen. Usea 0.05 significance level.State the null and alternative hypotheses.A. Ho: μ = 500 milligramsH₂: μ> 500 milligramsc. Ho: μ=500 milligramsH₂: μ#500 milligramsFind the z-score.Z=(Round to two decimal places as needed.)n example GetrB. Ho: μ500 milligramsH₂: μ = 500 milligramsOD. Ho: μ = 500 milligramsHa: μ< 500 milligrams

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Answered: A cold medicine lists 500 milligrams of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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It takes an average of 12.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 51 injured patients to immediately tell the truth about the injury and noticed that they averaged 14.1 minutes for their blood to begin clotting after their injury. Their standard deviation was 4.48 minutes. What can be concluded at the the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer V Hj: ? v Select an answer V c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly different from 12.8 at a =…
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 66 miles per hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 51 miles per hour and 81 miles per hour. (Assume the data set has a bell-shaped distribution) Approximately% of vehicles travel between 51 miles per hour and 81 miles per hour.
An automobile manufacture builds brakes with a specific diameter. The break data is normally distributed with a mean of 14.8 inches and a standard deviation of 1.3 inches. What percent of manufacture brakes have a size between 12.6 inches and 16.4 inches.
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between 57 miles per hour and 73 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately % of vehicles travel between 57 miles per hour and 73 miles per hour.
A bottler of drinking water fills plastic bottles with a mean volume of 994 millimeters (mL) with a standard deviation of 5 mL. The fill volumes are normally distributed. What proportion of bottles have volumes less than 995 mL? Use Table A.2 (Normal Distribution Table) and keep four decimal places with your answer.
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
The strength of the welds in a new manufacturing process is measured by the amount of weight needed to break the weld. The strength of the welds is normally distributed with mean 583 pounds. 30% of the welds had strength less than 500 pounds. What is the standard deviation of the strength of the welds?
The time to smoke fish is normally distributed with an average of 5.3 hours and a standard deviation of 2.1 hours. What is the z score for a fish that take 10 hours to smoke?
The concentration of blood hemoglobin in middle-aged adult females is normally distributed with a mean of 13.5 g/dL and a standard deviation of 0.86 g/dL. Determine the hemoglobin levels corresponding to the: 90th percentile Middle 85% of middle-aged adult female hemoglobin levels
The volume of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.45 ounces and a standard deviation of 0.30 ounce. The company receives complaints from consumers who actually measure the amount of soda in the cans and claim that the volume is less than the advertised 12 ounces. What proportion of the soda cans contain less than the advertised 12 ounces of soda?A) .9332 B) .4332 C) .0668 D) .5668
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