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Question 3. Using the dataset of Question 1, find the sample standard deviation where $s^2 = 9.6256$. Question 4. In the dataset of Question 1, the skewness is 0.53. Knowing that, develop the 2-standard- deviation range obtained from the sample and interpret your findings about the normality behavior of the samplledd population Question 5. Using the dataset of Question 1, where $\bar{x} = 51.60$ and $s = 3.103$, the quality management team believes that the population variance of all breaking strengths is 9.74. Using hypothesis testing at the 2% significance level, determine if the producer has sufficient statistical evidence showing that the average breaking strength of the bags is at least 50.5 pounds. Question 6. A manager has just received the expense checks for six of her employees. She randomly distributes the checks to the six employees. What is the probability that exactly five of them will receive the correct checks (checks with the correct names)? Question 10. The local amusement park is now interested in the average wait time at their most popular roller coaster at peak park time. They select 13 patrons and have them get in line between 2-3pm. Each was given a stopwatch to record the time they spent in line. The times recorded are as follows (in minutes). Construct the box plot of this dataset and interpret its key features. 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118 Question 11. A "rogue wave" (one far larger than others surrounding a ship) can be a threat to ocean- going vessels (e.g., naval vessels, container ships, oil tankers). The European Centre for Medium-Range Weather Forecasts issues a warning when such waves are likely. The average for this rare event is estimated to be 0.022 rogue waves per hour in the South Atlantic. Find the probability that a ship will encounter at least three rogue waves in a 5-day journey. Question 1. A company that produces and markets trash bags has developed an improved 30-gallon bag. The new bag is produced using a specially formulated plastic that is both stronger and more biodegradable than previously used plastics, and the company wishes to evaluate the strength of this new bag. The company has decided to select a sample of 40 of the new trash bags. For all consecutive hours, the first trash bag produced at or after a randomly selected time during the hour is chosen. The bag is then subjected to a breaking strength test. The 40 strengths obtained are given in the following table. The following figure provides a percentage with a frequency histogram of those breaking strengths. Describe the pattern. (No Need for Numerical Calculations)

Question 3. Using the dataset of Question 1, find the sample standard deviation where $s^2 = 9.6256$.
Question 4. In the dataset of Question 1, the skewness is 0.53. Knowing that, develop the 2-standard-
deviation range obtained from the sample and interpret your findings about the normality behavior of
the samplledd population
Question 5. Using the dataset of Question 1, where $\bar{x} = 51.60$ and $s = 3.103$, the quality management
team believes that the population variance of all breaking strengths is 9.74. Using hypothesis testing at
the 2% significance level, determine if the producer has sufficient statistical evidence showing that the
average breaking strength of the bags is at least 50.5 pounds.
Question 6. A manager has just received the expense checks for six of her employees. She randomly
distributes the checks to the six employees. What is the probability that exactly five of them will receive
the correct checks (checks with the correct names)?
Question 10. The local amusement park is now interested in the average wait time at their most popular
roller coaster at peak park time. They select 13 patrons and have them get in line between 2-3pm. Each
was given a stopwatch to record the time they spent in line. The times recorded are as follows (in
minutes). Construct the box plot of this dataset and interpret its key features.
118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118
Question 11. A "rogue wave" (one far larger than others surrounding a ship) can be a threat to ocean-
going vessels (e.g., naval vessels, container ships, oil tankers). The European Centre for Medium-Range
Weather Forecasts issues a warning when such waves are likely. The average for this rare event is
estimated to be 0.022 rogue waves per hour in the South Atlantic. Find the probability that a ship will
encounter at least three rogue waves in a 5-day journey.
Question 1. A company that produces and markets trash bags has developed an improved 30-gallon
bag. The new bag is produced using a specially formulated
plastic that is both stronger and more biodegradable than
previously used plastics, and the company wishes to evaluate
the strength of this new bag. The company has decided to select a
sample of 40 of the new trash bags. For all consecutive hours,
the first trash bag produced at or after a randomly selected time
during the hour is chosen. The bag is then subjected to a
breaking strength test. The 40 strengths obtained are given in
the following table. The following figure provides a percentage
with a frequency histogram of those breaking strengths.
Describe the pattern. (No Need for Numerical Calculations)

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