Question

Which one is the correct characteristics of t distribution with 10 degrees of freedom? Choose all applied.

	a.	symmetric around 0
	b.	mean is 10
	c.	it is taller than t distribution with 5 degrees of freedom.
	d.	variance is 10/8

If weight of products ~ N(120LB,  30LB) then what is chance that

weight of product is larger than 130 LB?

Provide an answer with 3 decimal points

For  t with 50 degrees of freedom, what is the 99th percentile of value of t ?

Provide an answer with 3 decimal points

For  t with 50 degrees of freedom, what is the chance that

t has a value larger than 1.2?

Provide an answer with 3 decimal points

f weight of products ~ N(120LB,  30LB) then what is the 95th percentile of

the weight of product?

Provide an answer with 2 decimal points

For  t with 50 degrees of freedom, what is the chance that

t has a value between -1.5 and -0.5?

Provide an answer with 3 decimal points

If the weight of products ~ N(120LB,  30LB) then what is chance that

the weight of product is between 120LB and 125LB? (3 decimal places)

What is the mean of Z distribution? (0 decimal places)

Answer 1

i) The  correct characteristics of the t distribution with 10 degrees of freedom:

a) symmetric around 0

c) it is taller than t distribution with 5 degrees of freedom

d) variance is 10/8

ii) If the weight of products ~ N(120LB,  30LB) then the probability that the weight of the product is larger than 130 LB is 0.369

iii) For t with 50 degrees of freedom, the 99th percentile of t is 2.403

iv) For  t with 50 degrees of freedom, the probability that t has a value larger than 1.2 is 0.118

v) If the weight of products ~ N(120LB,  30LB) then the 95th percentile of the weight of the product is 169.35

vi) For  t with 50 degrees of freedom, the probability that t has a value between -1.5 and -0.5 is 0.24

vii) If the weight of products ~ N(120LB,  30LB) then the chance that the weight of the product is between 120LB and 125LB is 0.066

vii) The mean of Z distribution is 0.

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