normal distribution testing

The scores made by candidates in a certain test are normally distributed with mean 500 and standard deviation 100. What percentage of candidates received scores greater than 700? => 2.28% or 2.82% or 47.72% or 47.27%..

The scores made by candidates in a certain test are normally distributed with mean of 500 and standard deviation of 100. What percentage of candidates received scores between 400 and 700? => 88.15% or 81.85% or 88.51% or 85.81%..

Let X denote the number of scores on a test. If X is normally distributed with a mean of 90 and a standard deviation of 10, find the probability that X is not less than 70. => 0.4772 or 0.7472 or 0.7972 or 0.9772..

To qualify in a competitive examination, candidates must score in the top 5% in the examination. The test has a mean of 200 and a standard deviation of 20. What is the lowest possible score to qualify? Assume the test scores are normally distributed. => 202.6..

Mr. John gave his students a test in the class. The scores were normally distributed with a mean of 75 and standard deviation of 4. What percent of the students scored between 71 and 79? => 95% or 99.7% or 68% or 34%..

An organization conducted a test for a group of students, whose scores are normally distributed with mean 70 and standard deviation 3. Find the probability that the score of a particular student is greater than 67. => 0.8413 or 0.1587 or 0.3413 or 0.5000..

When can the normal distribution be used as an approximation to the binomial distribution? => n . p = 5, n . q = 5 or n . p ≤ 5, n . q ≤ 5 or n . p > 5, n . q < 5 or n . p ≥ 5, n . q ≥ 5..

What is the total area under the normal distribution curve? => 100% or 50% or 99.7% or 1%..

Write the percentage of the area shaded in the normally distributed curve shown. => 4.7% or 2.35% or 95% or 99.7%..

A random sample of 81 students was tested for the problem solving approach skills. The variance of the scores obtained from the sample was found to be 144. Find the 80% confidence interval for the variance and standard deviation. Assume that the variable is normally distrib..