Confidence Intervals
Authored by Tina Shutich
Mathematics
10th - 12th Grade
CCSS covered
Used 73+ times
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About
This quiz focuses on confidence intervals, a fundamental concept in inferential statistics appropriate for grades 11-12 or Advanced Placement Statistics. The questions comprehensively assess students' understanding of both confidence intervals for means and proportions, requiring mastery of critical statistical concepts including the Central Limit Theorem, sampling distributions, and the distinction between parameters and statistics. Students must demonstrate proficiency in selecting appropriate distributions (t vs. z), calculating margins of error, determining sample sizes, and interpreting confidence intervals in real-world contexts. The mathematical complexity requires students to work with formulas for standard error, understand the relationship between confidence level and interval width, and apply critical values from both normal and t-distributions. Additionally, students must grasp the conceptual meaning of confidence levels and avoid common misinterpretations about what confidence intervals actually represent. Created by Tina Shutich, a Mathematics teacher in US who teaches grade 10-12. This quiz serves as an excellent tool for formative assessment during a unit on inferential statistics, allowing teachers to gauge student comprehension of confidence interval construction and interpretation before summative evaluations. The variety of question types makes it ideal for review sessions, homework assignments, or warm-up activities that reinforce both computational skills and conceptual understanding. Teachers can use this quiz to identify common misconceptions about confidence level interpretation and to provide targeted practice with real-world applications ranging from manufacturing quality control to agricultural research. The questions align with Common Core Standards S-IC.4 (using data from a sample survey to estimate a population mean or proportion) and AP Statistics Learning Objectives covering confidence intervals for means and proportions, making it particularly valuable for students preparing for standardized assessments in statistics.
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25 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A sample of 30 women finds the mean height to be 62.3 in and the standard deviation to be 1.5 in. Find the margin of error of women's heights with 95% confidence.
1.699
0.56
0.537
19.325
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.ID.A.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do we use a t-distribution instead of a z-distribution for means?
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following changes to a study would result in a narrower confidence interval?
Tags
CCSS.HSS.IC.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a crash test of 15 troopers, collision repair costs are found to have a distribution that is approximately normal, with a mean of $1800 and a standard deviation of $950. Construct a 99% confidence interval for the repair cost.
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
CCSS.HSS.ID.A.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the t* value for a 99% confidence interval with a sample of 23 people.
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
A research group wishes to estimate the mean amount of time (in hours) that members of a fitness center spend exercising each week. They want to estimate the mean within a margin of error of 0.5 hours with a 95% level of confidence. Previous data suggests that the standard deviation of the population is 2.2. Which of the following is the smallest sample size they could use?
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.IC.A.1
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
A 90% confidence interval for a population mean is determined to be 800 to 900. If the confidence is increased to 95% confidence while the sample statistics and sample size remain the same, the confidence interval
Tags
CCSS.HSS.IC.B.4
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