In six packages of "The Flintstones® Real Fruit Snacks" there were eight Bam-Bam snack pieces. The total number of snack pieces in the six bags was 67. We wish to calculate a 96% confidence interval for the population proportion of Bam-Bam snack pieces. Part (a) Define the random variables X and P' in words. X is the number of Bam-Bam snacks in a sample of 67 snack pieces. P' is the proportion of Bam-Bam pieces in a bag of snacks.X is the proportion of Bam-Bam snacks in a bag of snacks. P' is the proportion of Bam-Bam pieces in a sample of 67 snack pieces.    X is the proportion of Bam-Bam snacks in a sample of 67 snack pieces. P' is the proportion of Bam-Bam pieces in a bag of snacks.X is the number of Bam-Bam snacks in a bag of snacks. P' is the number of Bam-Bam pieces in a sample of 67 snack pieces. Part (b) Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)       Explain your choice. The binomial distribution should be used because the two outcomes are "Bam-Bam" and "Not Bam-Bam".The Student's t-distribution should be used because    npq ≤ 10,  which implies a small sample.    The Student's t-distribution should be used because we do not know the standard deviation.The standard normal distribution should be used because we are interested in proportions. Part (c) Calculate p'. (Round your answer to three decimal places.) p' =  Part (d) Construct a 96% confidence interval for the population proportion of Bam-Bam snack pieces per bag. (Round your answers to three decimal places.) (i) State the confidence interval.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
In six packages of "The Flintstones® Real Fruit Snacks" there were eight Bam-Bam snack pieces. The total number of snack pieces in the six bags was 67. We wish to calculate a 96% confidence interval for the population proportion of Bam-Bam snack pieces.

  • Part (a)

    Define the random variables X and P' in words.
    X is the number of Bam-Bam snacks in a sample of 67 snack pieces. P' is the proportion of Bam-Bam pieces in a bag of snacks.X is the proportion of Bam-Bam snacks in a bag of snacks. P' is the proportion of Bam-Bam pieces in a sample of 67 snack pieces.    X is the proportion of Bam-Bam snacks in a sample of 67 snack pieces. P' is the proportion of Bam-Bam pieces in a bag of snacks.X is the number of Bam-Bam snacks in a bag of snacks. P' is the number of Bam-Bam pieces in a sample of 67 snack pieces.
  • Part (b)

    Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)
     
     
     


    Explain your choice.
    The binomial distribution should be used because the two outcomes are "Bam-Bam" and "Not Bam-Bam".The Student's t-distribution should be used because 
      npq
     ≤ 10,
     which implies a small sample.    The Student's t-distribution should be used because we do not know the standard deviation.The standard normal distribution should be used because we are interested in proportions.
  • Part (c)

    Calculate p'. (Round your answer to three decimal places.)
    p' = 
  • Part (d)

    Construct a 96% confidence interval for the population proportion of Bam-Bam snack pieces per bag. (Round your answers to three decimal places.)
    (i) State the confidence interval.
     
      ,  
     


    (ii) Sketch the graph.
     
    CL = 
     
    ?
    2
     = 
     
    ?
    2
     = 
         


    (iii) Calculate the error bound.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 11 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman