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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

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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

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Solution

The t-distribution becomes more pointy, with thinner tails as the degrees of freedom increase. So, the correct answer is d. More pointy, with thinner tails.

Here's why: The t-distribution is a type of probability distribution that is symmetric and bell-shaped, like the standard normal distribution, but has heavier tails, meaning it has more values at the extremes. The shape of the t-distribution changes based on the degrees of freedom. The degrees of freedom refers to the number of independent observations in a set of data. When the degrees of freedom increase, the t-distribution becomes more like a standard normal distribution, which is more pointy or peaked in the middle and has thinner tails.

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Similar Questions

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

How is the t-distribution similar to the standard z-distribution?Select one:A. Both are left skewed graphB. Both are families of distributionsC. Both are continuous distributionD. Both are right skewed graph

How is the t-distribution similar to the standard z-distribution?

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

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