IA 1 Advanced Algebra

An ice cream shop owner wants to find out what new flavor of ice cream he should sell in his shop. Which is the BEST method?

• Visit all other ice cream shops to see what flavor they sell.

• Have the computer randomly generate 100 customers from his data base and survey them.

• Ask each regular visitor which flavor they would like to see in his shop.

• Determine which flavor is the best selling now.

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A politician wants to see what people in her district think about tax cuts. Which procedure would be a good way of conducting a survey?

• Answer listeners' calls on a morning radio program.

• Invite the public to a meeting held on a Wednesday at 10:00 AM.

• 
  Mail a questionnaire to randomly selected households in her district.

• Conduct a clipboard survey of people entering and leaving a mall.

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CCSS.HSS.IC.B.3

SAT scores are normally distributed, with a mean of 1000 and a standard deviation of 200. What is the percentile of a student with a score of 1400?

• 98th percentile

• 2nd percentile

• 50th percentile

• 95th percentile

SAT scores are normally distributed, with a mean of 1000 and a standard deviation of 200. Approximately 68% of the scores lie between

Responses

• 
  

• 
  600 and 1400

• 
  800 and 1200

• 700 and 1300

• 900 and 1100

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The ages of employees at a certain company are normally distributed and the mean age is 36 with a standard deviation of 3 years. What percent of employees are between 30 and 42 years old?

• 50%

• 68%

• 95%

• 99.7%

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The wingspans of Rodrigues fruit bats are normally distributed, with a mean of 82.5 centimeters and a standard deviation of 2.5 centimeters. To the nearest tenth of a percent, what percentage of Rodrigues fruit bats have a wingspan between 77.5 centimeters and 85 centimeters?

• 
  

• 68.3%

• 73.4%

• 81.5%

• 85.9%

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A cancer institute conducts a 5 year study on 500 randomly selected lymphoma patients who are in remission. The study is designed to determine if eating avocados helps to keep the disease in remission. At the end of the study, the institute concludes that by eating avocados 60% of all lymphoma patients have a better chance of remaining in remission. What is the sample of the study?

• all lymphoma patients at this cancer institute

• 
  the lymphoma patients who are in remission

• 
  500 randomly selected lymphoma patients who are in remission

• all lymphoma patients

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On a road, you take a random sample of the speed of 40 cars with a speed detector and determine that their average speed is 49 mph. Which statement is true?

• You conclude that the speed of all cars on this road is exactly 49 mph.

• You conclude that the average speed of all cars on this road is close to 49 mph.

• 
  You conclude that the speed of more than half of the cars on this road is less than 49 mph.

• You conclude that the speed of less than half of the cars on this road is more than 49 mph.

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The average score at Laila's favorite golf course is 91, with a standard deviation of 10. In their most recent round at the golf course, Laila scored an 85.

Calculate the z-score for Laila's round of golf.

• z = -0.6

• z = 0.6

• z = 75.9

• z = 82.5

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CCSS.HSS.ID.A.4

Alycia recently ran a 5k race in 22.45 minutes. She found that the average time for her age group and experience level was 26.5 minutes with a standard deviation of 4.5 minutes. 

Alycia calculated the z-score of her time to be –0.9.

Which of the following best explains the meaning of Alycia's z-score?

• Alycia's 5k time was 0.9 standard deviations below the average 5k time of 26.5 minutes.

• 
  Alycia's 5k time was 0.9 standard deviations above the average 5k time of 26.5 minutes.

• Alycia's 5k time was 0.9 times lower on average than other 5k times of people in Alycia's age and experience range.

• Alycia's 5k time was 0.9 times lower than the average 5k time of 26.5 minutes.

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CCSS.HSS.ID.A.4