Question 1

Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is

summarized in the histogram below.

Q 2 Consider the following data set. Round your answers to the nearest hundredth as needed.

56 65 31 65 65

44 49 30 47 25

Question 3 - This table lists how many vacation days were used by each employee in the last several years. Find the mode

Q4 Consider a data set that has a mean of 15.9 and a standard deviation of 5.9. According to Chebyshev's Theorem, give an interval that has at least 88.9% of the data.

Q 5 Based on the boxplot above, identify the 5 number summary

Q6 Giving a test to a group of students, the grades and gender are summarized below

Q 7 Ignoring twins and other multiple births, assume babies born at a hospital are independent events with the probability that a baby is a boy and the probability that a baby is a girl both equal to 0.5. If the first 7 children born are girls, what is the probability the next born child is a boy?

Q 8 Suppose that 65% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Give your answer as a decimal rounded to 4 places.

Q9 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places

Q 10 The Wilson family was one of the first to come to the U.S. They had 8 children. Assuming that the probability of a child being a girl is .5, find the probability that the Wilson family had:

Q 11 For a standard normal distribution, find: P(Z > 2.45)

Q 12 For a standard normal distribution, find: P(Z > c) = 0.9403 Find c.

Q 13 According to a 2009 Reader's Digest article, people throw away about 11% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 113 grocery shoppers to investigate their behavior. What is the probability that the sample proportion does not exceed 0.097

Q 14 A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.7 years, and standard deviation of 3.9 years, The 3% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place.

Q 15 A particular fruit's weights are normally distributed, with a mean of 789 grams and a standard deviation of 32 grams. If you pick one fruit at random, what is the probability that it will weigh between 797 grams and 839 grams