Chapter 4 Statistics Review

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean. A positive z-score means the value is above the mean, while a negative z-score means it is below the mean.

Front

How do you calculate a z-score?

Back

The formula for calculating a z-score is: z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

If Brian scored an 80% on a Chemistry Exam with an average of 68% and a standard deviation of 5%, what is his z-score?

Back

2.4

Front

What does a positive z-score indicate?

Back

A positive z-score indicates that the data value lies above the mean.

Front

What does a negative z-score indicate?

Back

A negative z-score indicates that the data value lies below the mean.

Front

Given μ = 70, σ = 8, and X = 50, find the z-score.

Back

-2.5

Front

What is the binomial probability formula?

Back

The binomial probability formula is P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, and p is the probability of success.

Front

For a binomial distribution with n = 13 and p = 0.19, how do you find P(x=4)?

Back

Use the binomial probability formula to calculate P(x=4). The answer is 0.1399.

Front

What function would you use to find the probability of getting 11 or fewer successes in a binomial distribution?

Back

binomcdf(n,p,11)

Front

What is the difference between binompdf and binomcdf?

Back

binompdf calculates the probability of exactly k successes, while binomcdf calculates the cumulative probability of k or fewer successes.