Question

In six packages of "The Flintstones® Real Fruit Snacks" there were five Bam-Bam snack pieces. The total number of snack pieces in the six bags was 61. 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 proportion of Bam-Bam snacks in a sample of 61 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 61 snack pieces.     X is the number of Bam-Bam snacks in a sample of 61 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 61 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 Student's t-distribution should be used because

  npq

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

• 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 =
  α 2 =		α 2 =

  
  
  (iii) Calculate the error bound.

• Part (e)

Answer 1