Understanding Probability Distributions

This lesson introduces the student T distribution, explaining its use in statistics, particularly when dealing with small sample sizes. It contrasts the T distribution with the normal distribution, which is typically used for larger samples. The lesson also covers the concept of probability distributions, including the normal and uniform distributions, highlighting their different shapes and applications.

What is the main focus of this lesson in mastering statistics?

• The Poisson distribution

• The binomial distribution

• The Student T distribution

• The normal distribution

Which of the following is NOT a name for the Student T distribution?

• T metric

• T distribution

• T student T distribution

• Z distribution

When can the normal distribution be used to approximate the Student T distribution?

• When the sample size is exactly 30

• When the sample size is greater than 30

• When the sample size is less than 30

• When the sample size is unknown

What is the critical value used in the normal distribution to calculate the margin of error?

• P sub C

• T sub C

• Q sub C

• Z sub C

What happens to the normal distribution when the sample size is large?

• It becomes a uniform distribution

• It becomes a binomial distribution

• It becomes a T distribution

• It remains a normal distribution

Why might you need to use the T distribution instead of the normal distribution?

• When the data is normally distributed

• When the sample size is large

• When the data is uniformly distributed

• When the sample size is small

What is the main advantage of using the T distribution for small samples?

• It is easier to calculate

• It requires less data

• It provides more accurate confidence intervals

• It is more commonly used

Which distribution is used when the sample size is less than 30?

• Binomial distribution

• Uniform distribution

• T distribution

• Normal distribution

What is a key characteristic of a probability distribution?

• It is always normal

• It is always uniform

• It can have different shapes and sizes

• It always has a bell shape

What is the shape of a normal distribution?

• Linear line

• Flat line

• Bell curve

• Exponential curve