Normal Distribution

We use SPSS abd Excel

3. Which of the following exam scores should lead to a better grade? Explain your answer.

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A. A score of X = 55 on an exam that has a mean of 60 and a standard deviation of 5.

B. A score of X = 40 on an exam that has a mean of 50 and a standard deviation of 20.6.The distribution of scores on the SAT is approximately normal with a mean of 500 and a standard deviation of 100. For the population of students who have taken the SAT…

A. What percentage have SAT scores greater than 550?

B. What is the minimum SAT score needed to be in the highest 10% of the population?

C. If the state college only accepts students from the top 60% of the SAT distribution, what is the minimum SAT score needed to be accepted?

7.A population has a mean of µ = 45 and a standard deviation of σ = 20. Find the z-score corresponding to each of the following sample means obtained from this population (hint: use the standard error).

A. mean = 47 for a sample of n = 4 scores

B. mean = 47 for a sample of n = 100 scores

C. mean = 40 for a sample of n = 16 score

8. A random sample is obtained from a normal population with a mean of µ = 80 and a standard deviation of σ = 8. Which of the following outcomes is more likely? Explain your answer.

A. A sample mean greater than 86 for a sample of n = 4 scores.

B. A sample mean greater than 84 for a sample of n = 16 scores.

9.The distribution of SAT scores is normal with a mean of µ = 500 and a standard deviation of σ = 100. If the mean SAT score is computed from a sample of n = 100 students from this population…

A. What range of values should contain the sample mean 95% of the time?

B. What range of values should contain the sample mean 99% of the time?

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