Text: Finding Proportions Under Normal Distributions
In this question set, you will use Minitab Express to construct normal distributions to find different proportions. Using Minitab Express, construct a standard normal distribution to find the area greater than z = 2. Copy-paste your distribution here and clearly identify your final answer: [10 points]
b. Using Minitab Express, construct a normal distribution with a mean of 50 and standard deviation of 10. Find the area on that distribution greater than x = 70. Copy-paste your distribution here and clearly identify your final answer. [10 points]
Explain why your answers to a and b are exactly the same [10 points]
d. SAT-Math scores are normally distributed with a mean of 500 and standard deviation of 100. Using Minitab Express, compute the percentile for a SAT-Math score of 560. Copy-paste your distribution here and clearly identify your final answer: [10 points] Hint: Percentile is the proportion of scores at or below a given score.
Using Minitab Express, find the z-scores that separate the middle 85% of the standard normal distribution from the outer 15% (7.5% on the left and 7.5% on the right). Copy-paste your distribution here and clearly identify your final answer [10 points]