Data from a sample of 576 people in a city was used to estimate the mean monthly bill paid by city residents for internet service to be $45 with a standard deviation of $0.48. Enter a number in the box to complete the sentence below. Use the formula M = 1.96 * (standard deviation / square root of sample size) to calculate the margin of error for a 95% confidence interval, to the nearest hundredth: 38 dollars.
Added by Lisa W.
Step 1
We are given the standard deviation ($\sigma$) of $0.48, the sample size ($n$) of 576, and the Z-score for a 95% confidence interval, which is 1.96. We are asked to calculate the margin of error (M). Show more…
Show all steps
Close
Your feedback will help us improve your experience
Chris Mcmanus and 52 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
Adi S.
Assuming the population has an approximate normal distribution, if a sample size n = 16 has a sample mean x̄ = 48 with a sample standard deviation s = 9, find the margin of error at a 98% confidence level. Round the answer to two decimal places.
Jen H.
In an effort to estimate the mean amount spent per customer for dinner at an Atlanta restaurant, data were collected for a sample of 49 customers. The data collected are shown in the website file named Restaurant. Based upon past studies the population standard deviation is assumed known with $\sigma=\$ 5 .$ $$\begin{array}{l}{\text { a. } \mathrm{At} 95 \% \text { confidence, what is the margin of error? }} \\ {\text { b. Developa } 95 \% \text { confidence interval estimate of the mean amount spent for dinner. }}\end{array} $$
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