### Bearing Lifetime Observations and Normal Probability Plot Coordination**Consider the following n = 10 observations on bearing lifetime (in hours):**152.7, 172.0, 172.5, 173.3, 193.0, 204.7, 216.5, 234.9, 262.6, 422.6To plot these observations on a normal probability plot, you need to determine the coordinates for each data point. This ensures you can visually assess if the data approximates a normal distribution.**Step-by-Step Guide to Plot the Point for 262.6:**1. **Order the Data**: Rank the observations from smallest to largest. The ordered list is: - 152.7, 172.0, 172.5, 173.3, 193.0, 204.7, 216.5, 234.9, 262.6, 422.62. **Calculate the Position**: To find the position of 262.6 in this list: - 262.6 is 9th in the sorted order.3. **Determine the Rank (i)** and **Proportion**: - Rank (i) = 9 - Proportion $ P_i = \frac{i - 0.5}{n} $ - Here, $ n = 10 $ (total number of observations). - Thus, $ P_9 = \frac{9 - 0.5}{10} = \frac{8.5}{10} = 0.85 $4. **Find the Z-Score for the Proportion**: - Use a standard normal distribution table to find the z-score corresponding to a cumulative probability of 0.85. - The z-score for P = 0.85 is approximately 1.036.5. **Coordinate for Normal Probability Plot**: - The x-coordinate is the z-score, and the y-coordinate is the observation value. - Therefore, the coordinates for the point 262.6 are (1.036, 262.6).By following these steps, you generate the coordinates to plot 262.6 on a normal probability plot, which helps in analyzing the distribution pattern of bearing lifetime data.**Final Coordinates for the Point 262.6:**\[ (1.036,

Using the given data, it is been asked to identify the coordinates of point to be plotted on normal…

Consider the following n= 10 observations on bearing lifetime (in hours): 152.7 172.0 172.5 173.3 193.0 204.7 216.5 234.9 262.6 422.6 List the coordinates of the point you would plot on a normal probability plot for the point 262.6:

Consider the following n= 10 observations on bearing lifetime (in hours): 152.7 172.0 172.5 173.3 193.0 204.7 216.5 234.9 262.6 422.6 List the coordinates of the point you would plot on a normal probability plot for the point 262.6:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Between 1.00 and 2.25 Click to view page 1 of the table. Click to view page 2 of the table. Draw a…

A: Given : Population mean , μ = 0 Population standard deviation , σ = 1 The above data corresponds to…

Q: mean 21 and standard deviation 3. Use your graphing calculator to find each of the following areas.…

Q: Determine the mean and standard deviation of the variable X in each of the following binomial…

A: Here we have to find mean and standard deviation of binomial distribution Since we know that mean…

Q: Find the probability that a randomly selected thermometer reads between −2.07 and −0.71

A: We have given that Mean = 0 Standard deviation = 1

Q: c. The probability that the round off error for a jumper's distance is exactly 1.2 is P(x = 1.2) =…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: A vertical line drawn through a normal distribution at z = -0.60 separates the distribution into two…

A: A standard normal variable z follows normal distribution with mean 0 and standard deviation 1.

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

Q: Financial analysts who make forecasts of stock prices are categorized as either "buy-side" analysts…

A: Given data: Buy-Side Analysts (X) Sell-Side Analysts (Y) Mean μx=0.84 μy=−0.06 Standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: Let "X" be the IQ score of the adults.

Q: d. The standard deviation is e. Find the probability that the time will be at most 13 minutes. f.…

Q: The probability that a randomly selected adult has an IQ less than 128 is (Type an integer or…

A: Given: Consider X as a random variable that follows a normal distribution with mean 22 and…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Here, µ=0°C, σ=1.00°C.

Q: Between 1.00 and 2.00 Click to view page 1 of the table. Click to view page 2 of the table. Draw a…

A: It is given thatMean, μ = 0Standard deviation, σ = 1Z-Score, Z = ( X - μ )/σwhere, Z be the standard…

Q: Today, the waves are crashing onto the beach every 4.6 seconds. The times from when a person arrives…

A: From the given question, we can say that X be a random variable which follows uniform distribution.…

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: Given thermometer readings are normally distributed with a mean of 0°C and a standard deviation of…

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: Obtain the probability that a randomly selected thermometer reads between−2.25 and−1.67. The…

Q: Suppose you roll one six-sided die. Let X = the number shown on the die. Calculate μ, the mean value…

A: There are 1,2,3,4,5,6 on a die Probability of getting a number is = 1/6

Q: A certain brand of car has an average lifespan of 15 years, which is exponentially distributed. Find…

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: Given data,μ=0σ=1P(1<X<2.25)=?

Q: Find each of the following values for the distribution shown in the informal histogram.

A: The frequency distribution of X is given below.To find the given values using the histogram.

Q: What requirements are necessary for a normal probability distribe on to be a standard normal…

A: In this case, we need to identify the correct option for the given statement.

Q: a. In a normal distribution, a = - (right or left) of the mean. b. -2, z = 6. This tells you that x…

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: We have given thatMean(µ) = 0Standard deviations (σ) = 1X ~ N (µ, σ )= N(0, 1)

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: Suppose a random variable X, defines the reading on thermometers.

Q: Psychology students at a university completed the Dental Anxiety Scale questionnaire. Scores on the…

A: Given that, mean = μ=12, and standard deviation =σ=3.5

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

100%

### Bearing Lifetime Observations and Normal Probability Plot Coordination

**Consider the following n = 10 observations on bearing lifetime (in hours):**

152.7, 172.0, 172.5, 173.3, 193.0, 204.7, 216.5, 234.9, 262.6, 422.6

To plot these observations on a normal probability plot, you need to determine the coordinates for each data point. This ensures you can visually assess if the data approximates a normal distribution.

**Step-by-Step Guide to Plot the Point for 262.6:**

1. **Order the Data**: Rank the observations from smallest to largest. The ordered list is:
- 152.7, 172.0, 172.5, 173.3, 193.0, 204.7, 216.5, 234.9, 262.6, 422.6

2. **Calculate the Position**: To find the position of 262.6 in this list:
- 262.6 is 9th in the sorted order.

3. **Determine the Rank (i)** and **Proportion**:
- Rank (i) = 9
- Proportion $ P_i = \frac{i - 0.5}{n} $
- Here, $ n = 10 $ (total number of observations).
- Thus, $ P_9 = \frac{9 - 0.5}{10} = \frac{8.5}{10} = 0.85 $

4. **Find the Z-Score for the Proportion**:
- Use a standard normal distribution table to find the z-score corresponding to a cumulative probability of 0.85.
- The z-score for P = 0.85 is approximately 1.036.

5. **Coordinate for Normal Probability Plot**:
- The x-coordinate is the z-score, and the y-coordinate is the observation value.
- Therefore, the coordinates for the point 262.6 are (1.036, 262.6).

By following these steps, you generate the coordinates to plot 262.6 on a normal probability plot, which helps in analyzing the distribution pattern of bearing lifetime data.

**Final Coordinates for the Point 262.6:**
\[ (1.036,

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 12 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The IQ's in a certain population are normally distributed with a mean score of 104 and a standard deviation of 14. If we select a person at random from this population, find the probability that their IQ will be: 1. Find the 67th percentile of IQ's in this population. 2. Find the 20 The percentile of IQ's in this population 3. Find the IQR of IQ's in this population.
Solve for the mean and standard deviation of the following Binomial distributions. a. n = 20 and p = 0.70 b. n = 70 and p = 0.35 c. n = 100 and p = 0.50
Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.00 and 2.25 Draw a sketch. Choose the correct graph below.
Need help
4c.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night (USA Today, April 30, 2012). Assume that room rates are normally distributed with a standard deviation of $55.a. Draw on a piece of paper the Normal Distribution curve and mark theMean and 1 unit standard deviation to each side of the Mean.2b. Show the Probability Density Function to your tutor and point it on yourgraph
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. A. IN EXCEL sketch this exponential distribution, and Standard deviation. B. IN EXCEL What is the probability that the arrival time between vehicles is 12 seconds or less. C. IN EXCEL What is the probability that the arrival time between vehicles is 6 seconds or less.
A subway train arrives every eight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution. a. Find the mean, μ = b. Find the standard deviation, σ = Round to the nearest tenth.
Find the mean and standard deviation for each Poisson: a. A = 6 (Round your standard deviation to 3 decimal places.) Mean Standard deviation b. A = 18 (Round your standard deviation to 3 decimal places.) Mean Standard deviation c. A = 3 (Round your standard deviation to 3 decimal places.) Mean Standard deviation
Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the casebelow, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 0.25 and 1.25 Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... Draw a sketch. Choose the correct graph below. A. z=0.25z=1.25 A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the right side. The region between the 2 lines is shaded. Moving from left to right, the z-axis below the first line is labeled "z=0.25". The z-axis below the second line is labeled "z=1.25". B. z=0.25z=1.25 A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the right side. Moving from left to right,…
Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.50 and 2.25 Click to view page 1 of the table. Click to view page 2 of the table. Draw a sketch. Choose the correct graph below. O A. The probability of getting a reading between 1.50°C and 2.25°C is (Round to four decimal places as needed.) d Normal Table (Page 2) .00 Standard Normal (z) Distribution: Cumulative Area from the LEFT .5000 5398 5793 .6179 .6554 .6915 7257 .7580 7881 .8159 .8413 8643 .8849 .9032 9192 9332 9452 .9554 .9641 9713 9772 .9821 9861 0007 .01 5040 5438 5832 6217 .6591 z=1.50 z=2.25 6950 7291 .7611 7910 .8186 .8438 8665 8869 9049 9207 9345 9463 .9564 9649 .9719 9778 9826 9864 .02 5080 5478 5871 6255 6628 .6985 7324 7642 7939 .8212 8461 8686 8888 .9066 9222 9357 9474 .9573 9656…
The average number of kilos of meat a person consumes in a year is 100 kilos. Assume that the standard deviation is 11 kilos and the distribution is approximately normal. If a sample of 40 individuals is selected, find the probability that the mean of the sample will be 105 kilos or greater per year. Express your answer in percent form with 2 decimal places (with the percent symbol - e.g. 10.00%). type your answer... Next