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

Expert Solution

for further query please comment below.thank you

orchestra answered 2 years ago

1) A normal population has a mean of 100 and a standard deviation of 10. You...

1) A normal population has a mean of 100 and a standard deviation of 10. You select a random sample of 25. What is the probability that the sample mean calculated will be between 98 and 101? a. 0.5328 b. 0.3413 c. .0273 d. 0.682 2) A normal population has a mean of 100 and a standard deviation of 10. You select a random sample of 25. What is the probability that the sample mean calculated will be less than...

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...

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:

A variable of a population has a mean and a standard deviation . a. The sampling distribution...

A variable of a population has a mean and a standard deviation . a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean and standard deviation of Mean = 100 and standard deviation = 3 Mean = 14.28 and standard deviation = 3 Mean = 14,28 and standard deviation = 0.428 Mean = 99 and standard deviation = 9

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

A population of values has a normal distribution with mean of 165.7 and standard deviation of...

A population of values has a normal distribution with mean of 165.7 and standard deviation of 60.2. a) Get the z-score for a value of 163. For this problem you use the z score formula z=x−μσz=x-μσ b) This z-score tells you how many the score of 163 is above or below the population mean μμ . c) Find the probability that a randomly selected value is greater than 163. Part 2 A population of values has a normal distribution with mean...

Consider a population with mean 100 and standard deviation of 10. If we randomly select a...

Consider a population with mean 100 and standard deviation of 10. If we randomly select a data point from the population, what is the probability that the point will be between 90 and 110? (Hint: consider the Z-scores)? What percentage of the population lies between 900 and 1100?

A population has a mean of 50 and a standard deviation of 10. If a random...

A population has a mean of 50 and a standard deviation of 10. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following? a. Greater than 54 b. Less than 53 c. Less than 46 d. Between 48.5 and 52.5 e. Between 50.4 and 51.7 (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.) a. Upper P left-parenthesis x Overscript bar EndScripts...

Suppose the mean and the standard deviation of a distribution are as follows: population mean and...

Suppose the mean and the standard deviation of a distribution are as follows: population mean and standards deviation are 60 and 5, respectively. At least what proportion of the observations lie between 45 and 75?

Question