Example 2: The time required by a nurse to inject the shot of the Covid-19 vaccine has been observed to be normally distributed with a mean 𜇠= 30 seconds and a standard deviation of 𜎠= 10 seconds. a) Find the percentage that the nurse injects the shot greater than 35 seconds. b) Find the 10th and 90th percentiles.
Added by Michelle S.
Close
Step 1
First, we need to standardize the value of 35 seconds using the formula z = (x - μ) / σ, where x is the value we want to standardize, μ is the mean, and σ is the standard deviation. z = (35 - 30) / 10 z = 5 / 10 z = 0.5 Show more…
Show all steps
Your feedback will help us improve your experience
Jen H and 96 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 time required by a nurse to inject a shot of penicillin has been observed to normally distributed with mean of 30 and standard deviation of 10 seconds find the proportion between 25 and 35 .
Qudsiya A.
Suppose that the average wait time at a certain doctors office is normally distributed with a mean of 34.8 minutes and a standard deviation of 11.5 minutes. Find the percent of patients whose wait time is 60 minutes or more: b. Find the percent of patients whose wait time is 20 minutes or less:
Pritesh R.
Suppose that the waiting times for patients at a local hospital are normally distributed with a known population standard deviation of 30 minutes. A random sample of 75 patients in the local hospital had a mean time of 90 minutes. Assume a 95% confidence interval for the population mean. The margin of error of the 95% confidence interval is 8.06.
Sri K.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD