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

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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 t_df 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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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