Normal Probability Distribution

Which of the following is NOT a property of a normal distribution?

What does the standard deviation of a normal distribution determine?

What is the primary purpose of standardizing a normal distribution?

What are the mean and standard deviation of the standard normal distribution, respectively?

If a normal distribution has a mean of 50 and a standard deviation of 10, what value is one standard deviation above the mean?

What is the z-score formula used for?

In a normal distribution, approximately what percentage of the data falls within one standard deviation of the mean?

Which of the following statements is true about the cumulative area under the standard normal curve?

When using a standard normal table, what does the value at the intersection of a row and column represent?

What is the purpose of inflection points on a normal distribution curve?

A shoe manufacturer wants to determine the most common shoe size for women. Which statistical distribution would be most helpful in this case?

What happens to the shape of a normal distribution curve when the standard deviation increases?

How does a normal curve's graph shift when the mean changes?

What is the probability density function (pdf) used for in the context of continuous probability distributions?

If a student scores in the 84th percentile on a normally distributed test, approximately how many standard deviations above the mean is their score?

Which of the following real-world examples typically follows a normal distribution pattern?

Given a normal distribution, if a data point has a z-score of 0, what does this indicate?

When transforming a normal distribution into a standard normal distribution, what values do the mean and standard deviation take, respectively?

If the area under the normal curve to the left of z = 1.96 is approximately 0.975, what does this imply?

For a normal distribution, what is the relationship between the mean, median, and mode?

What value does the total area under a normal distribution curve always equal?

Under what condition is the normal distribution bell-shaped and symmetric?

What would be the impact of a larger value for the standard deviation, assuming the mean stays constant?

You're using a standard normal table to find the area to the left of $z = -1.5$. Which value must you look up?

How do you find the area between $ a $ and $ b $ using the standard normal table, assuming $ a $ and $ b $ are on either side of the mean?

Imagine two normally distributed groups of test scores are being evaluated. Group A has a mean of 70 and Group B has a mean of 80 with equivalent standard deviations. How would their respective distribution graph compare?

What is the significance of the 'empirical rule' in the context of a normal distribution?

We wish to transform a normal curve into a standard normal distribution to use our standard lookup table. What needs to be done?

Given 2 sets of data (1 and 2) are distributed normally, where data 1 and 2 have a mean and SD of ($ \mu_1, \sigma_1 $) and ($ \mu_2, \sigma_2 $), respectively. Under what scenario are we required to standardize one or both datasets?

When using a Z-table to compute the area under the curve to the right of $ z = 1.0 $, we typically...

When referring to z-scores, an appropriate description includes...

During data analysis, what is the primary reason for converting raw scores into z-scores?

What characteristic distinguishes a normal distribution from a standard normal distribution?

What steps should be taken to solve a problem that requires finding the area under a normal curve for a given range of values?

How will an increased standard deviation affect the kurtosis of the normal distribution?

If two data sets have the same range and number of data points, which descriptive statistic would be most helpful in distinguishing whether the distributions are normal?

A researcher converts a data set which has 150 data points sampled a normal distribution, and computes a z-table to compute are under the curve within a boundary. Which best approximates a limitation associated with using this cumulative probabilities z lookup method?