AP Stats 10.1 Review

A teacher wants to estimate the mean GPA for a population of high school students. She takes a sample of 15 students.

Which of the following is the critical value t* for constructing a 95% confidence interval?

• 2.14

• 2.13

• 1.75

• 1.76

Tags

CCSS.HSS.IC.B.4

A teacher wants to estimate the mean GPA for a population of high school students. She takes a sample of 15 students.

Are the assumptions and conditions satisfied for a one sample t-interval?

• Yes, if a graph of the sample provides evidence the population may be approximately normal.

• Yes, definitely.

• No.

• Yes, if there are over 150 students at the high school.

A teacher wants to estimate the mean GPA for a population of high school students. She takes a sample of 15 students.

If the sample mean is 2.3 and the sample standard deviation is .11, which of the following correctly calculates a 98% confidence interval?

•  $2.3\pm2.62\cdot\sqrt{\frac{.11}{15}}$  

•  $2.3\pm2.62\cdot\sqrt{\frac{.11}{14}}$  

•  $2.3\pm2.62\cdot\frac{.11}{\sqrt{15}}$  

•  $2.3\pm2.62\cdot\frac{.11}{\sqrt{14}}$  

Tags

CCSS.HSS.IC.B.4

A teacher wants to estimate the mean GPA for a population of high school students. She takes a sample of 15 students.

The teacher believes the average GPA for all students is 2.25. The resulting interval is (2.23, 2.37). Does the interval provide convincing evidence the teacher is correct?

• No, the confidence interval provides evidence the population mean is greater than 2.25

• No, the confidence interval provides evidence the population mean is approximately 2.3.

• No, the confidence interval only provides evidence the population mean is between 2.23 and 2.37.

• Yes, the confidence interval provides evidence the population mean is 2.25 because 2.25 is within the interval.

Tags

CCSS.HSS.IC.B.4

A teacher wants to estimate the mean GPA for a population of high school students. She takes a sample of 15 students.

The teacher believes the average GPA for all students is 2.25. The resulting interval is (2.23, 2.37). Which of the following is the margin of error?

• 0.14

• 0.07

• 2.3

• 1.15

Tags

CCSS.HSS.IC.B.4