1. A machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5 : 2:2: 1. A can containing 500 of these mixed nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans. At the 0.05 level of significance, test the hypothesis that the machine is mixing the nuts in the ratio 5: 2:2:1.

1. A machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5 : 2:2: 1. A can containing 500 of these mixed nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans. At the 0.05 level of significance, test the hypothesis that the machine is mixing the nuts in the ratio 5: 2:2:1.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 5SE: Answer the following questions. 5. What is the term for the arrangement that selects r objects from...

See similar textbooks

Similar questions

Consider the information in Exercise 2, but suppose you know that the area of the region defined by the intersection of the square and the circle measures 5. What is the area of the entire colored region? 2. The area of the square is 12, and the area of the circle is 30. Does the area of the entire shaded region equal 42? Why or why not?
Use theorem 5.4.3 to form a proportion in which RS is a geometric mean. Hint RVSRST Exercises 1-6
Answer the following questions. 5. What is the term for the arrangement that selects r objects from a set of ii objects when the order of the r objects is not important? What is the formula for calculating the number of possible outcomes for this type of arrangement?
How many permutations of the letters W, X, Y, and Z are possible?
A Bitter Dispute With the publication of Ars Magna, a dispute intensified between Jerome Cardan and another mathematician named Niceolo Fontana, otherwise known as Tartaglia. What was the dispute, and how did it arise? In your opinion, who was at fault? Write a paragraph or two about your findings.
An automobile manufacturer ships one model of its economy car in just four colours. the manufacturer’s contract with its dealers states that the colours white, red, blue, and yellows are in the proportions 9:3:3:1. A sample of 400 contains 231 white, 70 red, 79 blue, and 20 yellow cars. (a) Estimate the proportion of each colour in the manufacturer’s shipments. (b) Test the hypothesis that the proportions are in the ratio 9:3:3:1. Let α =0.05
According to the American Automobile Association, 31 million Americans travel over the Thanksgiving holiday. To determine whether to stay open or not, a national restaurant chain surveyed 125 customers at each of four locations to see if they would be traveling over the holiday. The results are shown here. At α = 0.10, test the claim that the proportions of Americans who will travel over the Thanksgiving holiday are equal. Location A Location B Location C Location D Will Travel 37 52 46 49 Will Not Travel 88 73 79 76 Totals 125 125 125 125
a) What proportion of 20% of defective items should a supervisor in the quality system of a plastic products company accept when they ask him to evaluate a routine inspection procedure for orders of 100 identical articles, knowing that the procedure consists of taking a sample of 10 items and the one to accept the order if no more than 2 defective items are found? b) How many defective items are expected to appear in the sample?
Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?
in a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have full-time employment when considering what percentage of heads of household both own their home and have a full-time job, a student estimates that 48% of heads of household fit both requirements, stating that (0.60) (0.80)=0.48. is this student correct in his approach?
uman blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used. The following table gives the percent of a certain country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or −, respectively. Blood Types A+ A− B+ B− AB+ AB− O+ O− Percent 35.9 6.1 9.5 2.5 3.2 0.8 37.2 4.8 (a) What is the probability that a person selected randomly from the population has a blood type that is type O or Rh+? (b) What is the probability that a person selected randomly from the population has a blood type that contains the A antigen? (c) What is the probability that a person selected randomly from the population has a blood type that is type AB or Rh−?