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- 1 For a population with a mean of u 50 and a standard d

1. For a population with a mean of (u)=50 and a standard deviation of (o)=10, how much error on average would you expect between the sample mean (M) and the population mean for the following samples

A sample of N= 4 scores

A sample of N= 16 score

A sample of N=25 scores.

2. The population of IQ scores forms a normal distribution with a mean of µ = 100 and a standard deviation of ơ = 15. What is the probability of obtaining a sample mean greater than M = 105.

a- For a random sample of n = 9 people

b- For a random sample of n = 36 people

3. The population of SAT scores forms a normal distribution with a mean of µ=500 and a standard deviation of ơ =100. If the average SAT score is calculated for a sample of n=25 students,

A. What is the probability that the sample mean will be greater than M=510. In symbols, what is p(M>510)?

B. What is the probability that the sample mean will be greater than M=520. In symbols, what is p(M>520)?

C. What is the probability that the sample mean will be between M=510 and M=520? In symbols, what is p(510

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