The cold medicine Dozenol lists 600 mg of acetaminophen per fluid ounce as an active ingredient. The Food and Drug Administration would like to make sure that Dozenol contains the correct amount. Assume that the amount of acetaminophen per fluid ounce is normally distributed with standard deviation 21 mg. They test 65 one-ounce samples of the medicine and finds that the mean amount of acetaminophen for the sample is 589 mg. Does this give them sufficient evidence that Dozenol contains the correct amount of acetaminophen?

The cold medicine Dozenol lists 600 mg of acetaminophen per fluid ounce as an active ingredient. The Food and Drug Administration would like to make sure that Dozenol contains the correct amount. Assume that the amount of acetaminophen per fluid ounce is normally distributed with standard deviation 21 mg. They test 65 one-ounce samples of the medicine and finds that the mean amount of acetaminophen for the sample is 589 mg. Does this give them sufficient evidence that Dozenol contains the correct amount of acetaminophen?

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter16: Probabilistic Inventory Models

Section16.4: The News Vendor Problem: Continuous Demand

Problem 4P

See similar textbooks

Similar questions

USE PIGEONHOLE PRINCIPLE, WITH A PIGEONHOLE FORMULA 1.1. Assuming no one has more than 1,000,000 hairs on the head of any person and that the population of Manila was 11,621,500 in 2009, there had to be at least _____ people in Manila in 2009 with the same number of hairs on their heads. 1.2. Choosing any ___ consecutive integers, we can guarantee that at least two of them have the same remainder when divided by 100
Q_ 1 red, 1 blue, 1 black, 1 yellow and 1 white car are all waiting at the traffic lights behind each other. In how many different ways can they be waiting if the black car and only the black car is between the white and yellow cars?
There are a number of plants in a garden. Each of the plants has been treated with some amount of pesticide. After each day, if any plant has more pesticide than the plant on its left, being weaker than the left one, it dies. You are given the initial values of the pesticide in each of the plants. Determine the number of days after which no plant dies, i.e. the time after which there is no plant with more pesticide content than the plant to its left. Example // pesticide levels Use a -indexed array. On day , plants and die leaving . On day , plant in dies leaving . There is no plant with a higher concentration of pesticide than the one to its left, so plants stop dying after day . Input Format The first line contains an integer , the size of the array .The next line contains space-separated integers . Constraints Sample Input 7 6 5 8 4 7 10 9 Sample Output 2 Explanation Initially all plants are alive. Plants = {(6,1), (5,2), (8,3), (4,4), (7,5),…
Using python programming language, solve this The Ghana Passport Office claims that the passport applications are processed within 30 days of submitting the application form and all necessary documents. Table 1 shows processing time of 40 passport applicants. The population standard deviation of the processing time is 12.5 days. Conduct a hypothesis test at significance level = 0.05 to verify the claim made by the passport office. Table 1: Passport processing time 16 16 30 37 25 22 19 35 27 32 34 28 24 35 24 21 32 29 24 35 28 29 18 31 28 33 32 24 25 22 21 27 41 23 23 16 24 38 26 28
In a lake, the population of a particular fish species is about 1 million. Fish reproduce by 20% of the population each month, regardless of the season. In addition, fish die naturally after living for an average of 10 months. There are two separate companies (for example, A and B) fishing with 5 boats on the edge of this lake. According to current data, each boat catches 5000 fish per month. However, if the total number of boats caught in the lake increases, the number of fish to be caught by each boat decreases, as the boats will prevent each other from fishing. In addition, if the fish population in the lake increases, the fish caught per boat increases, and if the population decreases, the fish caught per boat decreases. As companies earn money from hunting, they want to buy new boats over time and enlarge their boat fleet.
In a lake, the population of a particular fish species is about 1 million. Fish reproduce by 20% of the population each month, regardless of the season. In addition, fish die naturally after living for an average of 10 months. There are two separate companies (for example, A and B) fishing with 5 boats on the edge of this lake. According to current data, each boat catches 5000 fish per month. However, if the total number of boats caught in the lake increases, the number of fish to be caught by each boat decreases, as the boats will prevent each other from fishing. In addition, if the fish population in the lake increases, the fish caught per boat increases, and if the population decreases, the fish caught per boat decreases. As companies earn money from hunting, they want to buy new boats over time and enlarge their boat fleet. Indicate the causal relationships in this system with arrows and signs. Show the causality loops in this system, at least 1 negative, at least 1 positive, and…
A nine character long password is to be created using lower-case letters, four special characters {!, @, #, $} and digits. For the password to be valid, it must contain at least one lower-case letter, one of the given special characters and one digit. What is the probability that a randomly generated nine character password is valid? Assume that the password is generated using only the lower-case letters, the given special characters and digits
6. Beer bottles are filled so that they contain an average of 460 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 12 ml. You may find it useful to reference the z table.] a) What is the probability that a randomly selected bottle will have less than 452 ml of beer? (Round intermediate calculations to at least 4 decimal places, "z" value to 2 dècim al places, and final answer to 4 decimal places.) b. What is the probability that a randomly selected 6-pack of beer will have a mean amount more than 452 ml? Round intermediate calculations to at least 4 decimal places, "2" value to 2 decimal places, and finat answer to 4 decimal places.) c) What is the probability that a randomly selected 12-pack of beer will have a mean amount between 458 ml and 462ml? (Round intermediate calculations to at least 4 decimal places, «2" value to 2 decimal places, and final answer to 4 decimal places.)
In the new post-apocalyptic world, the world queen is desperately concernedabout the birth rate. Therefore, she decrees that all families should ensure that they have one girl orelse they face massive fines. If all families abide by this policy-that is, they have continue to havechildren until they have one girl, at which point they immediately stop-what will the gender ratioof the new generation be? (Assume that the odds of someone having a boy or a girl on any givenpregnancy is equal.) Solve this out logically and then write a computer simulation of it.
Six months before its annual convention, the AmericanMedical Association must determine how many rooms toreserve. At this time, the AMA can reserve rooms at a costof $50 per room. The AMA must pay the $50 room costeven if the room is not occupied. The AMA believes that thenumber of doctors attending the convention will be normallydistributed, with a mean of 5,000 and a standard deviationof 1,000. If the number of people attending the conventionexceeds the number of rooms reserved, extra rooms must bereserved at a cost of $80 per room. Use simulation todetermine the number of rooms that should be reserved tominimize the expected cost to the AMA.
Assuming that your belief is false, you don’t know. [B,K]
The brown-eyed man from the previous question also has kids with a woman with brown eyes, whose whole family for the past 10 generations had brown eyes. What percentage of their children can be expected to have blue eyes? a. 0% b. 25% c. 50% d. 75% e. 100%