1-21 Review - Unit 6

The mean income of all teachers in the state of Florida for the 2013-2014 school year was $47, 800. We draw a random sample of 700 teachers and find their mean income is $43, 200.

Identify the population.

• All teachers in the state of Florida

• All teachers.

• 700 teachers in Florida

• 700 teachers.

Tags

CCSS.HSS.IC.A.1

CCSS.7.SP.A.1

The mean income of all teachers in the state of Florida for the 2013-2014 school year was $47, 800. We draw a random sample of 700 teachers and find their mean income is $43, 200.

Identify the sample.

• All teachers in the state of Florida

• All teachers.

• 700 teachers in Florida

• 700 teachers.

Tags

CCSS.HSS.IC.A.1

CCSS.7.SP.A.1

The mean income of all teachers in the state of Florida for the 2013-2014 school year was $47, 800. We draw a random sample of 700 teachers and find their mean income is $43, 200.

Identify the statistic.

• 700

• $47,800

• $43,200

• none of these

The mean income of all teachers in the state of Florida for the 2013-2014 school year was $47, 800. We draw a random sample of 700 teachers and find their mean income is $43, 200.

Identify the parameter.

• 700

• $47,800

• $43,200

• none of these

Tags

CCSS.HSS.IC.B.3

Using the Z-table, find the Z critical value that is associated with 98% confidence level?

• 2.576

• 1.960

• 1.282

• 2.326

Tags

CCSS.HSS.ID.A.4

Using the Z-table, find the Z critical value that is associated with 50% confidence level?

• 2.576

• 0.674

• 1.282

• 2.326

Tags

CCSS.HSS.ID.A.4

A college is concerned about the impact of students working while they are enrolled in classes and the effect it has on their performance. In order to do any research, they must first estimate the amount of time that students spend working. They know from previous studies that the population standard deviation of this variable is about 2.75 hours. A survey of 50 students provides a sample mean of 5.75 hours worked.

Identify the population and sample.

• Population: All college students.

  Sample: All students randomly selected.

• Population: All students at a college.

  Sample: 50 students randomly selected.

• Population: All college students in the USA.

  Sample: The 50 students who are selected.

Tags

CCSS.HSS.IC.A.1

CCSS.7.SP.A.1

A college is concerned about the impact of students working while they are enrolled in classes and the effect it has on their performance. In order to do any research, they must first estimate the amount of time that students spend working. They know from previous studies that the population standard deviation of this variable is about 2.75 hours. A survey of 50 students provides a sample mean of 5.75 hours worked.

What critical value is the most appropriate to use and why?

• z-value because n greater than 30

• t-value because n is greater than 30

• z-value since n is less than 30

• t-value since n is less than 30

Tags

CCSS.HSS.ID.A.4

A college is concerned about the impact of students working while they are enrolled in classes and the effect it has on their performance. In order to do any research, they must first estimate the amount of time that students spend working. They know from previous studies that the population standard deviation of this variable is about 2.75 hours. A survey of 50 students provides a sample mean of 5.75 hours worked.

Identify the statistic.

• 2.75 hours

• 50

• 5.75 hours

• none

Tags

CCSS.6.SP.B.5A

A college is concerned about the impact of students working while they are enrolled in classes and the effect it has on their performance. In order to do any research, they must first estimate the amount of time that students spend working. They know from previous studies that the population standard deviation of this variable is about 2.75 hours. A survey of 50 students provides a sample mean of 5.75 hours worked.

What is the 90% confidence interval for the mean working time of all college students?

Formula:
 $E\ =\ Z_c\ \left(\frac{\sigma}{\sqrt{n}}\right)$  
 $\mu\ -\ E\ ,\ \ \mu\ +\ E$  

• 5.01, 6.39

• 5.11, 6.39

• 5.31, 6.39

• 5.21, 6.39

Tags

CCSS.HSS.IC.B.4