what is the probability of 62 with a mean of 60 and a standard deviation of 7?
Do you mean percentile?
Z = (score-mean)/ SD
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to that Z score.
I thank you for your answer to percentile--but I am working with Steibergs' model and the stat question was stated as "probability".
I am using Steinberg's "Normal curve table"..
Here are my 8 research quantitative homework questions
Module 3 Assignment 3 Template
Please use this template for your answers. Report z scores to two decimals and p values to three decimals. For probabilities, find the area in the left tail of the standard normal distribution for negative z scores and the area in the right tail for positive z scores.
For ì = 60 and ó = 7 Answer
1. z score of 78
2. z score of 45
3. probability of 59
4. probability of 62
5. score at z = 1.64
6. score at z = ¬–1.96
7. percent less than 73
8. proportion between 45 and 78
Please help!!
I don't have that template, but the answers should be the same. Percentile = scores = or below (to the left) of a certain point on the distribution.
To find the probability of a specific value in a normal distribution, you can use the concept of z-scores. A z-score measures the number of standard deviations an individual value is from the mean.
To calculate the z-score, you can use the formula:
z = (x - μ) / σ
Where:
- x is the value you want to find the probability for (in this case, 62),
- μ is the mean of the distribution (60),
- σ is the standard deviation (7).
Substituting the values, we get:
z = (62 - 60) / 7
z = 2 / 7
Now, we need to find the corresponding probability associated with this z-score. This probability can be obtained from a standard normal distribution table or by using a statistical software or calculator.
Assuming we use a standard normal distribution table, we can look up the probability associated with a z-score of 2 / 7. The table will provide the area under the normal curve to the left of the z-score value.
Let's assume the probability is found to be P. The probability of getting a value of 62 (or higher) in the given normal distribution would be 1 - P. This is because the table provides the probability of getting up to a certain value to the left of the z-score, and we want the probability of getting a value of 62 or higher, which is the area to the right of the z-score.
By looking up the z-score of 2 / 7 in the standard normal distribution table or using statistical software, we can find the probability.