Margin of Error and Critical Values & Review

The parameter is a number describing the:

• population

• sample

• survey

• percent

Tags

CCSS.HSS.IC.B.3

The statistic is a number describing the:

• population

• sample

• survey

• percent

Tags

CCSS.HSS.IC.B.3

Find the Critical Value for an 86% Confidence Level.

• -1.48

• 1.48

• 1.282

• -1.47

Tags

CCSS.HSS.ID.A.4

Which z-value is used for a 95% confidence interval?

• 2.58

• 1.66

• 1.96

• 2.33

Tags

CCSS.HSS.ID.A.4

An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.

Find the critical value.

• 0.90

• 1.155

• 1.645

• ±1.645

Tags

CCSS.HSS.ID.A.4

Find the value of z_c for a 75% confidence interval.

• -1.96 
• 1.15

• 1.04

• -1.598

Tags

CCSS.HSS.ID.A.4

What is the critical value z* for a 99% confidence interval? 

• -2.58
• 1.96
• -1.64
• 2.58

What is the critical value for a 98% confidence interval?

Tags

CCSS.HSS.ID.A.4

The operations manager of a large production plant wants to estimate the mean amount of time a worker takes to assemble a new electric component. Assume the standard deviation of the assembly time is 3.6 minutes. After observing 120 workers, the manager found their mean assembly time to be 16.2 minutes. What is the margin of error for a 99% confidence interval. Round to the nearest hundredth.

• 0.85

• 0.68

• 0.75

• 0.46

Tags

CCSS.HSS.IC.B.4

The operations manager of a large production plant wants to estimate the mean amount of time a worker takes to assemble a new electric component. Assume the standard deviation of the assembly time is 3.6 minutes. They sampled a group of 375 workers and found the mean to be 75 minutes. What is the margin of error for a 90% confidence interval? Round to the nearest thousandth

• 0.306

• 0.338

• 0.347

• 0.312

Tags

CCSS.HSS.IC.B.4