Question

In: Math

A normal distribution has a mean of u= 60 and a standard deviation of of 12....

A normal distribution has a mean of u= 60 and a standard deviation of of 12. For each of the following samples, compute the z-score for the. Sample mean, and determine whether the sample mean is a typical, representative value or an extreme value for a sample of this size. M=64 for n= 4 scores

Solutions

Expert Solution

z-score = (M - )/()

            = (64 - 60)/(12/)

            = 0.67

                      

                          

                       

                         

                          

                       

                                   

       


Related Solutions

A normal distribution has a mean of u = 60 and a standard deviation of o...
A normal distribution has a mean of u = 60 and a standard deviation of o = 16. For each of the following scores, indicate whether the body is to the right or left of the score and find the proportion of the distribution located in the body. a. X = 64 b. X = 80 c. X = 52 d. X = 28
A distribution of values is normal with a mean of 60 and a standard deviation of...
A distribution of values is normal with a mean of 60 and a standard deviation of 28. From this distribution, you are drawing samples of size 22. Find the interval containing the middle-most 60% of sample means: Enter your answer using interval notation. In this context, either inclusive or exclusive intervals would be acceptable. Your numbers should be accurate to 1 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
A normal distribution has a mean of m = 60 and a standard deviation of s...
A normal distribution has a mean of m = 60 and a standard deviation of s = 16. For each of the following scores, indicate whether the body is to the right or left of the score and find the proportion of the distribution located in the body. a. X = 64 b. X = 80 c. X = 52 d. X = 28
Given a normal distribution with a mean of 120 and a standard deviation of 12, what...
Given a normal distribution with a mean of 120 and a standard deviation of 12, what percentage of values is within the interval 96 to 144? 1. 32% 2. 50% 3. 95% 4. 68% 5. 99.7%
A population has a normal distribution with a mean of 51.4 and a standard deviation of...
A population has a normal distribution with a mean of 51.4 and a standard deviation of 8.4. Assuming n/N is less than or equal to 0.05, the probability, rounded to four decimal places, that the sample mean of a sample size of 18 elements selected from this population will be more than 51.15 is?
A population has a normal distribution with a mean of 51.5 and a standard deviation of...
A population has a normal distribution with a mean of 51.5 and a standard deviation of 9.6. Assuming , the probability, rounded to four decimal places, that the sample mean of a sample of size 23 elements selected from this populations will be more than 51.15 is:
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
Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of...
Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that Z is less than 1.15 is
Suppose x has a distribution with a mean of 60 and a standard deviation of 21....
Suppose x has a distribution with a mean of 60 and a standard deviation of 21. Random samples of size n = 36 are drawn. (a) Describe the x bar distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) (b) Find the z value corresponding to x bar = 53. (c) Find P(x bar < 53). (Enter a number. Round your answer to four decimal places.) (d) Would it be unusual for a...
If a normal distribution has a mean of 323.15 and standard deviation of 112.28, what is...
If a normal distribution has a mean of 323.15 and standard deviation of 112.28, what is P(x≤216.98)? If a normal distribution has a mean of 343.11 and standard deviation of 110.24, what is P(x>216.98)? If a normal distribution has a mean of 14.5 and standard deviation of 4.6 what is P(x≤20)? If a normal distribution has a mean of 14.5 and standard deviation of 4.6, what is P(x≥13)? For a standard normal distribution with mean of 0 and standard deviation...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT