The grade point averages for 10 randomly selected high school students are listed below. Assume the grade point averages are normally distributed. 2.3,3.2,1.7,2.9,0.9,4.2,3.3,2.6,3.4,0.7 Find a 95% confidence interval for the true mean.
Added by Bryan W.
Step 1
(2.3 + 3.2 + 1.7 + 2.9 + 0.9 + 4.2 + 3.3 + 2.6 + 3.4 + 0.7) / 10 = 25.3 / 10 = 2.53 So, the sample mean (x̄) is 2.53. Step 2: Calculate the sample standard deviation To find the sample standard deviation, we first calculate the squared differences from the Show more…
Show all steps
Close
Your feedback will help us improve your experience
Qudsiya Anis and 100 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The grade point average for 10 randomly selected high school students are listed below. Assume the GPA's are normally distributed. 2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.8 a) Find a point estimate for the population mean gpa. b) Find a 99% confidence interval for the population mean. Interpret your interval.
Qudsiya A.
The mean and standard deviation of the scores of a random sample of 45 Grade 10 students who took the final test are calculated to be 76 and 12.5 , respectively. a. Find the 95% confidence interval for the mean of the entire Grade 10 students.
James K.
Jerelyn N.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD