Math Problem Statement
Solution
This problem relates to forming a confidence interval using a t-distribution. When using a t-distribution, the degrees of freedom (df) are calculated as:
Where:
- is the sample size.
In the problem, 10 reels were used, so the sample size . Therefore, the degrees of freedom are:
So, the correct answer is E) 9.
Would you like more details on this concept or have any other questions?
Related Questions:
- How do you calculate confidence intervals for a population mean?
- Why is the t-distribution used instead of the z-distribution in small samples?
- What assumptions must be met for using the t-distribution in hypothesis testing?
- How does the sample size affect the degrees of freedom in a t-test?
- How does the shape of the t-distribution change as the degrees of freedom increase?
Tip:
Remember, as the sample size increases, the t-distribution approaches the normal distribution (z-distribution). This is why larger samples often use z-scores for confidence intervals.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
t-Distribution
Degrees of Freedom
Confidence Interval
Formulas
df = n - 1
Theorems
t-distribution
Suitable Grade Level
Grades 10-12
Related Recommendation
Calculating Degrees of Freedom for t-distribution in Confidence Intervals
Understanding Degrees of Freedom in Statistical Testing: Calculation and Importance
T-Distribution and Confidence Intervals: Solving for Degrees of Freedom and Critical Values
Calculate Degrees of Freedom for Two-Sample T-Test with Standard Deviation
Understanding Degrees of Freedom for Sample Sizes Larger Than 30