1. Which of the following is NOT a characteristic of t-distribution?A. Like the normal distribution, the t-distribution has a smooth shape.B. Like the normal distribution, the t-distribution is symmetric. If you think about folding it in half at the mean, each side will be the same.C. Like a standard normal distribution (or z-distribution), the t distribution has a mean of one.D. The normal distribution assumes that the population standard deviation is known. The t-distribution does not make this assumption.

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MarybellaI520633 MarybellaI520633

31-10-2022
Mathematics

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1. Which of the following is NOT a characteristic of t-distribution?A. Like the normal distribution, the t-distribution has a smooth shape.B. Like the normal distribution, the t-distribution is symmetric. If you think about folding it in half at the mean, each side will be the same.C. Like a standard normal distribution (or z-distribution), the t distribution has a mean of one.D. The normal distribution assumes that the population standard deviation is known. The t-distribution does not make this assumption.

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KhadijahL418744 KhadijahL418744 · Answer 1 · 2022-10-31T09:49:07+01:00

The t-distribution can be seen in the following image:

As you can see, like the normal distribution, the t-distribution has a smooth shape, they are also symmetric. They mean of both distributions is 0.

Also, the t-distribution does not make the assumption that the population standard deviation is known.

Therefore, from the given options the one that is not a characteristic of t-distribution is option C, because the mean of the t-distribution is 0, not 1 as the option says.