Question

In: Math

2. If the mean of a distribution is 100 with a standard deviation of 10, what...

2. If the mean of a distribution is 100 with a standard deviation of 10, what raw score is associated with a z-score of +2.003.

3. Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=43.5?

4. Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=53.1

Solutions

Expert Solution

Solution:

2) If the mean of a distribution is 100 with a standard deviation of 10, what raw score is associated with a z-score of +2.003.

We have to find a raw score is associated with a z-score of +2.003

That is find x value for a z-score of +2.003.

Use following formula:

Thus a raw score is associated with a z-score of +2.003 is 120.03

3) Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=43.5?

We have to find z-score is associated with a raw score of X=43.5.

z score formula is:

A z-score is associated with a raw score of X=43.5 is z = -1.30

4) Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=53.1

We have to find z-score is associated with a raw score of X=53.1.

z score formula is:

Thus a z-score is associated with a raw score of X=53.1 is z = 0.62


Related Solutions

A population distribution of score has a mean = 100 and a standard deviation of 10....
A population distribution of score has a mean = 100 and a standard deviation of 10. Researchers plan to take a sample size of N=25. Based on the central limit theorem, 68.26% of all possible means are between the sample means of ______ A) 90 and 100 B) 95 and 100 C) 98 and 102 D) 97 and 103
If an IQ distribution is normal and has a mean of 100 and a standard deviation...
If an IQ distribution is normal and has a mean of 100 and a standard deviation of 15, then 99% of all those taking the test scored between IQ's of A. 0 and 150 B. 55 and 145 C. 92.5 and 107.5
What is the standard deviation of the standard normal distribution? What is the mean of the...
What is the standard deviation of the standard normal distribution? What is the mean of the standard normal distribution? All symmetric distributions are normal distributions. True or false? Assume body temperature scores are normally distributed in the population with a mean of 36.81°C and a standard deviation of 0.41°C. A person's body temperature is 37.33°C. Calculate their z-score. (Round answer to 2 decimal places) Calculate the z-score for a person who has a body temperature of 35.72°C. (Round answer to...
1. What is the mean and standard deviation associated with the standard normal distribution? 2. Use...
1. What is the mean and standard deviation associated with the standard normal distribution? 2. Use the standard normal distribution table to calculate the following probabilities A) P (z ≤ -1.64) B) P (z ≤ 2.11) C) P (z ≥ 0.73) D) P (-1.31 ≤ z ≤ -0.32) 3. Use the standard normal distribution table to find the z-value for each of the following A) P (z ≤ ?) = 0.9495 B) P (z ≤ ?) = 0.2810 C) P...
typical student has a normal distribution with mean of 10 minutes and standard deviation of 2...
typical student has a normal distribution with mean of 10 minutes and standard deviation of 2 minutes to complete a question. The total exam has 80 minutes. how many questions should the exam have so that only 6 in 10,000 students failed the exam? (that is, p(y>80) = 0.0005)
A quality characteristic X follows a Normal distribution with mean 100 and standard deviation 2 when...
A quality characteristic X follows a Normal distribution with mean 100 and standard deviation 2 when the production process is in control.   Part (a): Suppose that the lower and upper specification limits are 94 and 106, respectively.  What is the percentage of produced product items that are non-conforming, i.e., do not conform to the specification limits, when the process is indeed in control? Part (b): The management has decided to monitor the process with and R control charts with a sample...
1)In a distribution of IQ scores, where the mean is 100 and the standard deviation is...
1)In a distribution of IQ scores, where the mean is 100 and the standard deviation is 15........ -Compute the z score for an IQ of 100 -Compute the z score for an IQ of 107 2)For all US women, assuming a normal distribution - Mean height is 64 inches ; Standard deviation is 2.4 inches -What percentage of US women are 60 inches or shorter? -What percentage of US women have a height between 64 and 67 inches?
A distribution of measurements is relatively mound-shaped with mean 80 and standard deviation 10. (a) What...
A distribution of measurements is relatively mound-shaped with mean 80 and standard deviation 10. (a) What proportion of the measurements will fall between 70 and 90? (b) What proportion of the measurements will fall between 60 and 100? (c) What proportion of the measurements will fall between 60 and 90? (d) If a measurement is chosen at random from this distribution, what is the probability that it will be greater than 90?
Draw 100 numbers from a normal distribution with a mean of **7** and standard deviation of...
Draw 100 numbers from a normal distribution with a mean of **7** and standard deviation of **4**, and store the output in an object called "x1": (R STUDIO)
Now assume you have a normal distribution with a mean of 100 and standard deviation of...
Now assume you have a normal distribution with a mean of 100 and standard deviation of 15 that is composed of 2000 participants. Please answer the following questions, what is the probability of the following? (please with steps) a. A score being between 100 and 115 b. A score greater than 130 c. A score less than 70 d. A score either greater than 130 or less than 70 e. A score either greater the 100 or less than 85
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT