Question

1. hypothesis statements using symbols for
   1. Two sided hypothesis test for the mean
   2. One sided hypothesis test for the mean
   3. Two sided hypothesis test for variance
   4. One sided hypothesis test for variance
   5. Explain what each symbol you used above stands for

Answer 1

(a)

Two sided hypothesis test for the mean:

H0: Null Hypothesis:

HA: Alternative Hypothesis:

where

and are the true Population Mean and Comparison value respectively.

(b)

One sided hypothesis test for the mean:

(i)

H0: Null Hypothesis:

HA: Alternative Hypothesis:

where

and are the true Population Mean and Comparison value respectively.

(ii)

H0: Null Hypothesis:

HA: Alternative Hypothesis:

where

and are the true Population Mean and Comparison value respectively.

(c)

Two sided hypothesis test for variance::

H0: Null Hypothesis:

HA: Alternative Hypothesis:

where

and are the true Population Variance and Comparison value respectively.

(d)

One sided hypothesis test for variance:

(i)

H0: Null Hypothesis:

HA: Alternative Hypothesis:

where

and are the true Population Variance and Comparison value respectively.

(ii)

H0: Null Hypothesis:

HA: Alternative Hypothesis:

where

and are the true Population Variance and Comparison value respectively.

(e)
Explanation of the symbols used:

and are the true Population Mean and Comparison value respectively.

and are the true Population Variance and Comparison value respectively.