### Chimney Rock Hospital Task Completion Time Analysis**Objective:**To analyze the time it takes on average for a nurse at the Chimney Rock Hospital in North Carolina to complete a specific task. The completion time is normally distributed with a mean of 13.7 minutes and a standard deviation of 3.4 minutes.**Questions:**1. **Proportion of Nurses Completing Tasks Between 15.2 and 17.7 Minutes** - We want to determine the proportion of nurses who complete a task within this time frame. 2. **Proportion of Nurses Completing Task in Less Than 8 Minutes and 24 Seconds** - We are interested in the proportion of nurses who finish a task in less than 8 minutes and 24 seconds.3. **Completion Time at the 73rd Percentile** - We need to find out what the task completion time is at the 73rd percentile.4. **Probability of Sample Mean Time Greater Than 14 Minutes and 12 Seconds** - We want to calculate the probability that the sample mean time for 30 randomly selected nurses is greater than 14 minutes and 12 seconds. **Data:**- Mean completion time (μ): 13.7 minutes- Standard deviation (σ): 3.4 minutes- Time and proportions to investigate: - Between 15.2 and 17.7 minutes - Less than 8 minutes, 24 seconds - 73rd percentile completion time - Sample mean time greater than 14 minutes, 12 seconds for n = 30 nurses---#### Detailed Breakdown:**a. Proportion of Nurses Completing Tasks Between 15.2 and 17.7 Minutes:**To solve this:- Convert the times (15.2 and 17.7 minutes) to Z-scores using the formula: \[ Z = \frac{(X - μ)}{σ} \]- Look up these Z-scores in the standard normal distribution table to find the corresponding proportions.**b. Proportion of Nurses Completing Task in Less Than 8 Minutes and 24 Seconds:**To solve this:- Convert 8 minutes and 24 seconds to a decimal (8.4 minutes).- Calculate the Z-score for 8.4 minutes.- Use the Z-score to find the corresponding proportion from the standard normal distribution table.**c. Completion Time at

Given: Mean μ=13.7 minutes Standard deviation σ=3.4

Answered: 5. Suppose that it takes a nurse at the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…
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Suppose the durations of human pregnancies follow a mound-shaped distribution with a mean of 266 days and a standard deviation of 18 days. a. Approximately what percentage of human pregnancies last between 248 and 284 days? b. Between what two values will the durations of 95% of all human pregnancies fall? Answer in days
1. According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. a. Find the proportion of men who sleep for more than 8 hours per night. b. Find the proportion of men who sleep for less than 6 hours per night. c. Find the proportion of men who sleep between 6-8 hours per night. d. Find the number of hours that represents the 90th percentile.
10.22
A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.
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42. The speeds of vehicles on a certain part of a highway are normally distributed with a mean of 60 mph and a standard deviation of 6 mph. Use the Empirical Rule to answer the following questions. a. Approximately what percentage of vehicles travel at a speed between 54 mph and 66 mph? b. Approximately what percentage of vehicles travel at a speed greater than 72 mph? c. Approximately what percentage of vehicles travel at a speed not greater than 78 mph?

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