Applications with Standard Normal Distribution Answers

If a data value in a normal distribution has a negative z-score, which of the following must be true?

What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. zProbability0.000.50001.000.84132.000.97723.000.9987

For a standard normal distribution, find the approximate value of . Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.220.58710.320.62550.420.66280.440.67000.640.73890.840.79951.000.8413

The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. What is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.500.69151.000.84132.000.97723.000.9987

Which of the following probabilities is equal to approximately 0.2957? Use the portion of the standard normal table below to help answer the question.zProbability0.000.50000.250.59870.500.69150.750.77341.000.84131.250.89441.500.93321.750.9599

What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table to help answer the question.zProbability0.000.50001.000.84132.000.97723.000.9987

For a standard normal distribution, which of the following variables always equals 1?

A normal distribution of data has a mean of 15 and a standard deviation of 4. How many standard deviations from the mean is 25?

About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution?

For a standard normal distribution, which of the following variables always equals 0?