Chapter 3 Review Homework Question 10

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Chapter 3 Review Homework Question 10

Question

Chapter 3 Review Homework Question 10

The data to the right represent the weights (in grams) of a random sample of 50 candies.  Complete parts (a) through (f).
 
 
 
(a) Determine the sample standard deviation weight.
 

b) On the basis of the histogram to the​ right, comment on the appropriateness of using the Empirical Rule to make any general statements about the weights of the candies.

  1. The histogram is approximately​ bell-shaped so the Empirical Rule cannot be used.
  2. The histogram is not approximately​ bell-shaped so the Empirical Rule cannot be used.
  3. The histogram is not approximately​ bell-shaped so the Empirical Rule can be used.
  4. The histogram is approximately​ bell-shaped so the Empirical Rule can be used.
(c) Use the Empirical Rule to determine the percentage of candies with weights between 0.708 and0.964 gram.

Hint: x overbar equals 0.836 .
 
(d) Determine the actual percentage of candies that weigh between 0.708 and 0.964 gram, inclusive.
 
(e) Use the Empirical Rule to determine the percentage of candies with weights more than 0.900 gram.
 
(f) Determine the actual percentage of candies that weigh more than 0.900 gram.

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This question is taken from Math 227 – Statistics » Summer 2021 » Chapter 3 Review Homework