6. A certain company is ordering small parts shipped in large bins from two different suppliers: supplier A and B. We know from history that 2.5% of the pa supplied by A are defective while 5% of the parts supplied by B are defective.
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- 2. Rini prefers red M&Ms over any other color. The Mars Company, makers of M&Ms, claims that 20% of all M&Ms are red. Rini plans to remove M&Ms from her bag one at a time until she gets her first red. How many M&Ms should she expect to remove?Step 3: Assess the Evidence (Calculate the test statistic for the observed sample mean. Sketch the T-distribution and identify the position of the observed test statistic. Shade the area that represents the P-value. Use the test statistic to find the P-value.)B. A manufacturing company is analyzing its accident record. The accidents fall into two categories: ➤Minor-dealt with by first aider: Average cost k50 ➤ Major-hospital required. Average cost k1,000 The company has 1,000 employees, of which 180 are office staff and the rest work in the factory. The analysis shows that 10% of employees have an accident each year and 20% of accidents are major. It is assumed that an employee has more than one accident in a year. (i) Determine the expected total cost of accidents in a year. On further analysis it is discovered that a member of office staff | half the probability of having an accident relative those in the factory. (ii) Show that the probability that a given a member of office staff has an accident in a year is 0.0549. (iii) Determine the probability that a randomly chosen employee who has had an accident is office staff.
- 5 Imagine that a company sells portable walkie-talkie radios to construction crews. The batteries for these radios last for an average of 55 hours. The purchasing manager for this company receives a brochure in the mail that advertises a new brand of batteries. This new brand of batteries is cheaper than the brand that the company currently uses. However, the purchasing manager is concerned that the cheaper batteries may have a shorter average battery life than the current brand. (Note: The number of hours that batteries last is called their battery life.) The pricing manager installs 40 randomly selected batteries of the cheaper brand in the company's walkie-talkie radios. He finds that the mean battery life for the sample is 52 hours, with a standard deviation of 10 hours. He wants to perform a statistical test at the 1% level of significance to determine whether the cheaper batteries have a shorter average battery life span than the average life span of the brand of batteries the…B. A manufacturing company is analyzing its accident record. The accidents fall into two categories: ➤Minor-dealt with by first aider: Average cost k50 Major-hospital required. Average cost k1,000 The company has 1,000 employees, of which 180 are office staff and the rest work in the factory. The analysis shows that 10% of employees have an accident each year and 20% of accidents are major. It is assumed that an employee has more than one accident in a year. (i) Determine the expected total cost of accidents in a year. On further analysis it is discovered that a member of office staff has half the probability of having an accident relative those in the factory. (ii) Show that the probability that a given a member of office staff has an accident in a year is 0.0549. (iii) Determine the probability that a randomly chosen employee who has had an accident is office staff.B. A manufacturing company is analyzing its accident record. The accidents fall into two categories: ➤Minor-dealt with by first aider: Average cost k50 ➤ Major-hospital required. Average cost k1,000 The company has 1,000 employees, of which 180 are office staff and the rest work in the factory. The analysis shows that 10% of employees have an accident each year and 20% of accidents are major. It is assumed that an employee has more than one accident in a year. (i) Determine the expected total cost of accidents in a year. On further analysis it is discovered that a member of office staff | half the probability of having an accident relative those in the factory. (ii) Show that the probability that a given a member of office staff has an accident in a year is 0.0549. (iii) Determine the probability that a randomly chosen employee who has had an accident is office staff.
- 9. After looking at this list, you are concerned that you may not be able to afford the food that you have chosen to provide enough protein for your diet. So you have decided to get the biggest bang for your buck by comparing the amount of protein for the price that you can buy the food for. The following 4 items were priced at Walmart on 1/2/2014. Also included is the serving per item and the protein for each serving for the product chosen. Make sure to show your work. Price per Protein (g) Food Item Bush Pinto Beans Jif Peanut Butter Bumblebee Canned Chicken Cherrios Cereal Price per item $0.84 $3.98 $2.38 $3.68 Servings per item 3.3 25 4 18 Protein (g) per serving 78 78 13g 3g of protein?3. Scenario It is believed that large doses of acetaminophen (the active ingredient in over the counter pain relievers like Tylenol) may cause damage to the liver in nearly half of those tested. A researcher wants to conduct a study to estimate if the proportion of acetaminophen users who have liver damage is the same as previously reported. For participating in this study, he will pay each subject $20 and provide a free medical consultation if the patient has liver damage. Part A If he wants to limit the margin of error of his 98% confidence interval to 2%, what is the minimum number of subjects he needs? (answer should be in the form of x,xxx) the minimum amount of money he needs to set aside to pay his subjects? $ (answer should be in the form of $xx,xxx) Part B The amount you calculated in Part A is substantially over his budget so he decides to use fewer subjects. Will this change increase or decrease the width of his confidence interval? Will this new confidence interval be…According to a report by the U.S. Environmental Protection Agency (EPA), containers and packaging generated about 34.6% of all municipal solid waste (MSW) in the country in a recent year. This was the largest category of such waste. The next highest group was nondurable goods, which accounted for 25.4 % of waste. This was followed by durable goods at 10.9%, yard trimmings/other at 13.4%, and food scraps at 15.7%. Suppose last year, one large midwestern U.S. city processed 303 (1,000 tons) of MSW broken down by waste type as follows: Waste Type Containers and Packaging Nondurable Goods Durable Goods Yard Trimmings/Other Food Scraps MSW (1,000 tons) 129 73 28 45 28 Determine if there is a significant difference between the distribution of municipal solid waste in this midwestern city and the distribution released by the EPA a. Specify the hypotheses. Ho HA b. Calculate the test statistic and p-value. Round intermediate calculations to AT LEAST 4 decimal places and final answers to 3…