Algebra II - Statitics Review

A researcher wants to determine if room-darkening shades cause people to sleep longer. Which method of data collection is most appropriate?

• census

• survey

• observation study

• controlled experiment

Tags

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.5

Betty conducted a survey of her class to see if they like pizza. She gathered 200 responses and 65% of the voters said they did like pizza. Betty then ran a simulation of 400 more surveys, each with 200 responses, assuming that 65% of the voters would like pizza. The output of the simulation is shown below.

Considering the middle 95% of the data, what is the margin of error for the simulation?

• 0.01

• 0.02

• 0.05

• 0.07

Tags

CCSS.HSS.IC.B.4

A group of students was trying to determine the proportion of candies in a bag that are blue. The company claims that 24% of candies in bags are blue. A simulation was run 100 times with a sample size of 50, based on the premise that 24% of the candies are blue. The approximately normal results of the simulation are shown in the dot plot below.

The simulation results in a mean of 0.254 and a standard deviation of 0.060. Based on this simulation, what is a plausible interval containing the middle 95% of the data?

• (0.194, 0.314)

• (0.134, 0.374)

• (−0.448, 0.568)

• (0.254,0.374)

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

Mary bought a pack of candy. The manufacturer claims that 30% of the candies manufactured are red. In her pack, 14 of the 60 candies are red. She ran a simulation of 300 samples, assuming the manufacturer is correct. The results are shown below.
Based on the simulation, Mary determines that the middle 95% of plausible values that the proportion of red candies in a pack is 0.185 to 0.417. Based on the simulation, is it unusual that Mary’s pack had 14 red candies out of a total of 60?

• Yes, it is unusual that Mary's pack had 14 red candies out of 60 candies.

• No, it is not unusual that Mary's pack had 14 red candies out of 60 candies.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

The Hot and Tasty Coffee chain conducts a survey of its customers at its location at the Staten Island ferry terminal. After the survey is completed, the statistical consultant states that 70% of customers who took the survey said the most important factor in choosing where to get their coffee is how fast they are served. Based on this result, Hot and Tasty Coffee can infer that

• most of its customers in New York State care most about being served quickly

• coffee drinkers care less about taste and more about being served quickly

• most of its customers at the Staten Island ferry terminal care most about being served quickly

• most of its customers at transportation terminals and stations care most about being served quickly

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

A group of high school students wanted to collect information on how many times per week students exercised. If they want the least biased results they should survey every fifth student at the school who is

• entering the gym

• in the junior class

• entering the library

• entering the building

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

The business office of a local college wishes to determine the methods of payment that will be used by students when buying books at the beginning of a semester. How can the office can gather an appropriate sample that minimizes bias?

• The office can randomly select students using the last three digits of their student ID numbers

• The office can randomly select students who enter the book store

• The office can randomly select students who enter the dining hall on Saturday

• The office can randomly select students who enter the fitness center on Monday

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

A survey completed at a large university asked 2,000 students to estimate the average number of hours they spend studying each week. Every tenth student entering the library was surveyed. The data showed that the mean number of hours that students spend studying was 15.7 per week. Which characteristic of the survey could create a bias in the results?

• the size of the sample

• the size of the population

• the method of analyzing the data

• the method of choosing the students who were surveyed

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

Which survey is least likely to contain bias?

• surveying a sample of people leaving a movie theater to determine which flavor of ice cream is the most popular

• surveying the members of a football team to determine the most watched TV sport

• surveying a sample of people leaving a library to determine the average number of books a person reads in a year

• surveying a sample of people leaving a gym to determine the average number of hours a person exercises per week

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

On a standardized test, Cathy had a score of 74, which was exactly 1 standard deviation below the mean. If the standard deviation for the test is 6, what is the mean score for the test?

• 68

• 71

• 77

• 80

Tags

CCSS.HSS.MD.A.2