8 involving the production and purchase of shoes. Assume that shoes are produced in three countries: 30 percent in Korea, 40 percent in Chile, and 30 percent in Australia. At the plant in each country, two types of shoes are made: racing shoes and training shoes. The production at each plant as allocated as shown in the table below. The shoes are randomly distributed to stores in the United States, and you purchase one pair from one of these stores. plant Racing training Korea 0.35 0.65 Chile 0.6 0.4 Australia 0.2 0.8 If you purchase a pair of training shoes selected at random, what is the probability that they were made in Korea

8 involving the production and purchase of shoes. Assume that shoes are produced in three countries: 30 percent in Korea, 40 percent in Chile, and 30 percent in Australia. At the plant in each country, two types of shoes are made: racing shoes and training shoes. The production at each plant as allocated as shown in the table below. The shoes are randomly distributed to stores in the United States, and you purchase one pair from one of these stores. plant Racing training Korea 0.35 0.65 Chile 0.6 0.4 Australia 0.2 0.8 If you purchase a pair of training shoes selected at random, what is the probability that they were made in Korea

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Assume that shoes are produced in three countries: 20 percent in Korea, 40 percent in Canada, and 40 percent in China. At the plant in each country, two types of shoes are made: racing shoes and training shoes. The production at each plant as allocated as shown in the table below. The shoes are randomly distributed to stores in the United States, and you purchase one pair from one of these stores. Plant Racing Training Korea 0.45 0.55 Canada 0.65 0.35 China 0.25 0.75 If you purchase a pair of training shoes selected at random, what is the probability that they were made in Korea?
Over the span of a month, a school tracks student choices at lunch. They find that 56% of all students buy milk with lunch and 32% buy a piece of fruit. If 22% of all students buy both milk and fruit, which of the following represents the percent of students who buy neither? (1) 28% (3) 42% (2) 34% (4) 46%
In your biology class, your final grade is based on four categories. The categories are tests, labs, homework assignments, and a final exam. The final average for the course is the weighted average of scores earned in these categories with the following weights. Assignments Weights Tests 29% Course Average: Labs 9% Homework 16% Final Exam 46% Suppose you earned the following grades on each of the categories; 51% on tests, 57% on labs, 56% on homework assignments, and 85% on the final exam. Determine your weighted average in the course. Record the average below as a percentage accurate to two decimal places.
Researchers are testing two new cholesterol medications. Medication is given to some males and females and a placebo is given to others. The tables below summarize the resulting HDL cholesterol levels after 8 weeks. Researchers are testing two new cholesterol medications. Medication is given to some males and females and a placebo is given to others. The tables below summarize the resulting HDL cholesterol levels after 8 weeks. Medication A Women N Mean HDL Std Dev of HDL New drug 40 35.47 2.45 Placebo 41 38.42 3.42 Men N Mean HDL Std Dev of HDL New drug 10 46.19 1.35 Placebo 9 39.06 2.89 Is there evidence of effect modification with medication B? Provide a brief (1-2 sentences) explanation. Medication B Women N Mean HDL Std Dev of HDL New drug 40 46.12 2.19 Placebo 41 39.24 2.47 Men N Mean HDL Std Dev of HDL New drug 10 45.25 1.89 Placebo 9 39.06 2.22
Select the correct number of factors and levels for this study: A researcher would like to test if strategy type affects the time to complete an exam. The researcher assigns 24 student volunteers to one of the following 3 treatment groups: a group that crams for 12 hours before exam, a group that crams for 3 days before exam, and a group that studies for 1 week before the exam. a. 3 factors, 1 level b. 3 factors, 3 levels c. 1 factor, 3 levels d. 1 factor, 1 level
statistical design of experiments question
A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.
The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 10 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. 34 5 6 789 10 Day Store 1 Store 2 Difference (Store 1 - Store 2) Send data to calculator Check 1 454 381 73 2 446 808 975 404 835 275 754 341 42 -27 221 -66 399 7 809 246 263 703 336 759 (a) State the null hypothesis H and the alternative hypothesis H₁. HO H₁:0 (b) Determine the type of test statistic to use. Type of test statistic: Chi-Square 63 50 300 214 734 Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding (which is u…
A researcher wishes to try three different techniques to lower the blood pressure of students diagnosed with high blood pressure in the school sickbay. The subjects are randomly assigned to three groups; the first group takes medication from the school nurse, the second group takes exercises led by the school sports master, and the third group follows a special diet from the school pantry. After four weeks, the reduction in each person’s blood pressure is recorded in the table below. TECHNIQUES Medication Exercise Diet 10 6 7 12 8 9 9 3 12 15 10 8 14 2. 5TOTAL 60 29. 41At α = 0.05, analyse this case study in a one way ANOVA
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A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45% of customers get the basic wash, 35% get the classic wash, and 20% get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10% of customers who get the basic wash, 25% of customers who get the classic wash, and 60% of customers who get the ultimate wash also vacuum their cars. The probabilities are displayed in the tree diagram.What is the probability that a randomly selected customer purchases the basic or classic car wash if they vacuum their car?A) 0.13B) 0.48C) 0.52D) 0.80