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The student t-distribution approaches the normal distribution as the:Group of answer choicesnumber of degrees of freedom increases.sample size decreases.number of degrees of freedom decreases.the significance level increases.

Question

The student t-distribution approaches the normal distribution as the:Group of answer choicesnumber of degrees of freedom increases.sample size decreases.number of degrees of freedom decreases.the significance level increases.

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Solution

The correct answer is: number of degrees of freedom increases.

Explanation:

  1. The t-distribution is a type of probability distribution that is symmetric and bell-shaped, like the normal distribution, but has heavier tails.

  2. The shape of the t-distribution depends on the degrees of freedom. The degrees of freedom generally equals the sample size minus 1.

  3. As the degrees of freedom

Similar Questions

What is the Student-t distribution?

The t distribution approaches the standardised normal distribution when the number of degrees of freedom increases.Question 14Select one:a.Falseb.True

With more degrees of freedom a t-distribution becomes:Question 6Answera.More flat, with thicker tailsb.More left skewed, with a longer left tailc.More right skewed, with a longer right taild.More pointy, with thinner tails

Another way to describe the t-distribution is:Question 5Answera.A distribution whose curve has two high points as well as two tailsb.A distribution of observed scores from one or two samplesc.A distribution of all averages when taking samples of a certain sized.A distribution with a skew equal to the degrees of freedom

The t distribution is a non-symmetrical distribution that is useful for small sample testing.Select one:TrueFalse

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