RV SAT Data Analysis

A quality control researcher at an electronics company is testing the life of the company's batteries in a certain camera. The researcher selects 100 batteries at random from the daily output of the batteries and finds that the life of the batteries has a mean of 342 pictures with an associated margin of error of 18 pictures. Which of the following is the most appropriate conclusion based on their data?

• All the batteries produced by the company that day have a life between 324 and 360 pictures.
• All the batteries ever produced by the company have a life between 324 and 360 pictures.
• It is plausible that the mean life of batteries produced by the company that day is betweeen 324 and 360 pictures.
• It is plausible that the mean life of all the batteries ever produced by the company is between 324 and 360 pictures.

Tags

CCSS.7.SP.A.2

A research assistant randomly selected 75 undergraduate students from the list of all students enrolled in the psychology degree program at a large university. She asked each of the 75 students, "How many minutes per day do you typically spend reading?" The mean reading time in the sample was 89 minutes and the margin of error for the estimate was 4.28 minutes. Another research assistant intends to replicate the survey and will attempt to get a smaller margin of error. Which of the following samples will most likely result in a smaller margin of error for the estimated mean time students in the psychology degree program read per day?

• 40 randomly selected undergraduate psychology degree program students.
• 40 randomly selected undergraduate students from all degree programs at the college.
• 300 randomly selected undergraduate psychology degree program students.
• 300 randomly selected undergraduate students from all degree programs at the college.

Tags

CCSS.HSS.IC.B.4

At a primate reserve, the mean age of all the male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age m of the combined group of male and female primates at the primate reserve?

• m = 17
• m > 17
• m < 17
• 15 < m < 17

A typical image taken of the surface of Mars by a camera is 11.2 gigabits in size. A tracking station on Earth can receive data from the spacecraft at a data rate of 3 megabits per second for a maximum of 11 hours each day. If 1 gigabit equals 1024 megabits, what is the maximum number of typical images that the tracking station could receive from the camera each day?

• 3
• 10
• 56
• 144

The average (arithmetic mean) of 1, 2, 5, 9, and x is 4. The average (arithmetic mean) of 2, 3 and y is 6. What is the value of x + y?

• 3
• 10
• 13
• 16

Tags

CCSS.6.EE.B.7

Two classes were given a math test. The first class had 25 students and the average test score was 86%. The second class had 15 students and their average score was 94%. If the teacher combined the test scores of both classes, what is the average of both classes together?

• 88%
• 89%
• 90%
• 91%

Tags

CCSS.7.NS.A.3

Within a population of 70 tsetse flies, the average lifespan is two months, 60 of the flies live an average of 1.5 months. What is the average standard deviation, in months, of the lifespan of the remaining flies?

• 25
• 5
• 3
• 0.5

In a peer-reviewed study of 1600 Labrador dogs, 80% could jump 1 meter in the air in 19 out of 20 attempts. There was 2.5% margin of error when measuring the height of jumps. 
Julia wants to know her Labrador's chances of jumping 1 meter in the air. Based on the peer-reviewed study, which one of the following statements would be correct?

• Julia's Labrador has a 95% chance of jumping 1 meter in the air.
• Julia's Labrador has an 80% chance of jumping 1 meter in the air.
• Julia's Labrador has an 80% chance of jumping 1 meter in the air 95% of the time it jumps.
• Julia's Labrador has an 80% chance of jumping at least 0.925 meters in the air 95% of the time it jumps.

The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first metacarpal bone and height for 9 people. The line of best fit is also shown.
How many of the people have an actual height that differs by more than 3 cm from the height predicted by the line of best fit?

• 2
• 4
• 6
• 9

The table below classifies 103 elements as metal, metalloid, or nonmetal and as solid, liquid, or gas at standard temperature and pressure.
What fraction of all solids and liquids in the table are metalloids?

• 7/92
• 7/90
• 7/103
• 78/92

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B