Mullins Stanley
07/26/2024 · Middle School

In a random sample of 20 people, the mean commute time to work was 34.8 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a \( 98 \% \) confidence interval for the population mean \( \mu \). What is the margin of error of \( \mu \) ? Interpret the results. The confidence interval for the population mean \( \mu \) is ( (Round to one decimal place as needed.) The margin of error of \( \mu \) is (Round to one decimal place as needed.) Interpret the results. B. With \( 98 \% \) confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. C. With \( 98 \% \) confidence, it can be said that the commute time is between the bounds of the confidence interval. D. If a large sample of people are taken approximately \( 98 \% \) of them will have commute times between the bounds of the confidence interval.

Upstudy ThothAI Solution

Tutor-Verified Answer

Quick Answer

The margin of error of \( \mu \) is approximately \( 4.1 \) minutes. The confidence interval for the population mean \( \mu \) is \( (30.7, 38.9) \). Interpretation: With \( 98\% \) confidence, the population mean commute time is between \( 30.7 \) and \( 38.9 \) minutes.

Step-by-step Solution

Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions