You're looking for a value
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such that
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Because the distribution is symmetric, the value of
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in either case will be the same.
Now, because the distribution is continuous, you have that
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The mean for the standard normal distribution is
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, and because the distribution is symmetric about its mean, it follows that
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.
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You can consult a
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score table to find the corresponding score for this probability. It turns out to be
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.
You havent added the options
Answer:
t distribution behaves like standard normal distribution as the number of freedom increases.
Step-by-step explanation:
The question is missing. I will give a general information on t distribution.
t-distribution is used instead of normal distribution when the <em>sample size is small (usually smaller than 30) </em>or <em>population standard deviation is unknown</em>.
Degrees of freedom is the number of values in a sample that are free to vary. As the number of degrees of freedom for a t-distribution increases, the distribution looks more like normal distribution and follows the same characteristics.