Multiple Select: Given a normal distribution, select all statements below which must be true?

• Approximately 99.7% of the data lies within three standard deviations of the mean.

• Approximately 2.5% of the data is greater than the mean plus 2 standard deviations (μ + 2σ) .

• Approximately 32% of the data lies outside of one standard deviation from the mean.

• The mean value is also the median value and the mode.

• The standard normal curve is symmetric about the standard deviation.

Tags

CCSS.HSS.ID.A.4

Which of the four methods of data collection: (experiment, observational study, survey, and simulation) is appropriate for the following scenario?

A sports researcher wants to know whether the color of a basketball influences the number of times a player sinks a free-throw? A random group of basketball players is chosen and asked to shoot a series of free-throws using a regulation normal-colored basketball. The data is recorded. The same group is then given an unusual-colored basketball and the same number of shots is repeated. The data is again recorded. A statistical analysis is performed.

• This is an experiment.

• This is an observational study.

• This is a survey.

• This is a simulation.

Tags

CCSS.HSS.IC.B.3

Multiple Select: Select all statements about statistical studies and data analysis which are true.

• Surveys eliminate all bias involved in a study.

• Observational studies provide a good method of determining a cause and effect relationship.

• Experiments provide a good method of determining a cause and effect relationship (causation).

• Observational studies may be an alternative to an experiment when a treatment may be unethical to apply to a human without consent.

• A farmer wants to know whether a new fertilizer affects the weight of the fruit produced by raspberry plants. This is a good opportunity to use a simulation.

Tags

CCSS.HSS.IC.B.3

Which of the following survey questions is least likely to introduce bias into a survey? Select only one.

• "On a scale of 1 - 10, rate your experience with eLearning thus far. (1 = not at all successful, 10 = very successful)"

• "How often do you eat unhealthy snacks?"

• "How satisfied are you with the maintenance of the school building at Mendham High School and the use of technology in the classroom?"

• "How much do you think the price of hand sanitizer will increase due to COVID-19?"

Tags

CCSS.HSS.IC.B.3

Multiple Select: Select all of the following answer options that are true about sampling methods.

• The managers at Google want to assess employee job satisfaction. Employees from the California Google headquarters office are surveyed. This represents a convenience sample.

• One hundred shoppers leave the mall on Saturday and every fifth person is selected to complete a brief survey about their shopping experience. This represents a systematic sample.

• The owner of Cembrook's Ice Cream Shop wants to ask customers which specialty flavor should be on sale for the month of June. Customers are divided into four age groups, and a sample is randomly surveyed from each age group. This represents a stratified sample.

• The city council wants to know whether residents support having an off-leash area for dogs somewhere in the city. Eighty dog owners are surveyed at the local park. This represents a self-selected sample.

• One hundred students enter the school building and are immediately directed to a room, the first 20 into room A, next 20 into room B, etc. Then the principal randomly selects one room to sample. This represents a convenience sample.

Tags

CCSS.HSS.IC.B.3

Multiple Select: Select all statements which are true.

• A controlled experiment should have a control group and a treatment group.

• An experiment should have randomization to eliminate other factors that may influence the results.

• A placebo is given to the treatment group to avoid psychological influences on the results.

• A randomized comparative experiment is considered a good research tool, but cannot determine causation.

Reference the image of the relative frequency graph provided. You roll a die 50 times and get a six 16 times. As a result, you suspect that the die favors the number six. The die maker claims that it does not favor the number six. So, if the hypothesis is that the die is a "fair" die (meaning it doesn't favor the number six), then what can you conclude about the die when you rolled a six 16 out of 50 times. The histogram shows the results of a simulation that you performed with a random number generator in order to test your hypothesis.

• The hypothesis is true.

• The hypothesis is false.

Tags

CCSS.7.SP.C.8C

The data set provided above represents the number of students absent from Ms. Cembrook's Algebra 2 class over a 40-day period (excluding weekends). Construct a histogram of the data and determine if the data set is skewed right, skewed left, or roughly normal (symmetric).

• Skewed Right

• Skewed Left

• Roughly Normal (symmetric)

The cardiology chairman at Parkview Hospital believes that his department members are overworked. A survey of all ten cardiologists at Parkview hospital found that the mean number of hours worked per week is 64 hours. Is this mean a parameter or a statistic?

• Parameter

• Statistic

Tags

CCSS.HSS.IC.B.3

The school district superintendent wants to determine whether teachers prefer to start school at the end of August or beginning of September. He mails surveys to all of the teachers and uses the results of the surveys that were returned. Is this survey biased and why or why not?

• Yes, it is biased because the results are generated from a self-selected sample and only represent the responses from those who felt strongly enough about the topic to reply.

• No, it is not biased because it is a randomized survey and the survey was sent to all teachers in the school district.

• Yes, it is biased because the superintendent wrote the survey.

• No, it is not biased because the sample is representative of the population of all teachers and all teachers are equally represented in the results.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1