Question

A) How does the t-score change as the deviation (M-μ) increases/decreases?

B) How does the t-score change as the sample variance increases/decreases?

C) How does the t-score change as the sample size increases/decreases?

Answer #1

The t score is calculated as:

Where M is the sample mean,

is the population mean

's' is the Sample standard deviation

and 'n' is the sample size

A) As we can see the t-score is directly proportional to (M-μ), hence t-score increases as (M-μ) increases and t-score decreases as (M-μ) decreases.

B) Sample variance is s^{2} and as we can see that
sample variance or the sample standard deviation is inversely
proportional to the t-score so, as sample variance increases the
t-score decreases and as the sample variance decreases the t-score
also decreases.

C) From the formula, we can see that as the sample size increases the t-score also increases and as the sample size decreases the t-score also decreases.

12
As an asset’s beta coefficient decreases, its expected
return:
does not change
increases.
decreases.

Decreasing sample size:
A decreases precision
B decreases bias
C increases precision
D decreases precision and bias

Holding everything else constant, increasing sample size
__________.
a.
decreases standard error
b.
increases the magnitude of the t statistic
c.
increases degrees of freedom
d.
All of the other options are consequences of increasing sample
size.

As the sample size increases, the spread (dispersion) of the
t-distribution Select one: a. increases. b. remains the same. c.
none of these. d. decreases.
If a null hypothesis is rejected at a significance level of .05,
it ______ be rejected at a significance level of .01. Select one:
a. may b. will always c. will never

(a)
Construct a 95% confidence interval about
Mu μ if the sample size, n, is 34
Lower bound:
___________
; Upper bound:
______________
(Use ascending order. Round to two decimal places as
needed.)
(b) Construct a 95% confidence interval about mu μ if
the sample size, n, is 51.
Lower bound:
____________
; Upper bound:
____________
(Use ascending order. Round to two decimal places as
needed.)
How does increasing the sample size affect the margin
of error, E?
A.
The...

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As the temperature increases, the viscosity of the solution
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B.
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C.
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D.
As the temperature increases, the viscosity of the solution does
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3.1) Steam heats from 100˚C to 120˚C a) Entropy Decreases b)
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