9.1 & 9.2

Question 1

μ

Answer 1

single mean

Question 2

p

Answer 2

single proportion

Question 3

σ ^2

Answer 3

Variance

Question 4

Null Hypothesis

Answer 4

H0:
p1 - p2 = 0 , or,
p1 = p2

Question 5

Alternate Hypothesis

Answer 5

Ha:
p1 - p2 > 0, or,
p1 > p2

Question 6

Z = ?

Answer 6

Z =
( p̂ - p0)
/
sqrt(p0 * ( 1 - po) /n)

Question 7

p̂

Answer 7

proportion

Question 8

Case II:
If both sample sizes are large (m>40 andn>40),
then the test statistic….

Answer 8

then the test statistic has approximately a Normal distribution, even if the unknown population standard deviations are replaced by their sample estimates.

∼Normal(0,1)

Z = x̄− ȳ / sqrt( s^2-1/m + s^2-2/n )

Question 9

Case 1 :

If both population distributions are Normal and both standard deviations are known, then the test statistic

Answer 9

then the test statistic has a Normal distribution.

∼Normal(0,1)

Z = x̄− ȳ / sqrt( σ^2 /m + σ^2/ n)

Question 10

Case III:

If the population distributions are Normal but the samples are not very large and the population standard deviations are not known then the test statistic…

Answer 10

…then the test statistic has approximately at-distribution with dfνestimated by

v = ?

Question 11

Case IV:
If the population distributions are Normal but the samples are not very large and

σ^ 2 - 1 =σ^2 - 2.

Answer 11

Then the test statistic has approximately at-distribution withm+n−2 degrees of freedom.

….