In a randomized, double-blind experiment,babies were randomly divided into a treatment groupand a control group . After the study, the treatment group had a mean serum retinol concentration ofmicrograms per deciliterwith a standard deviation of , while the control group had a mean serum retinol concentration ofwith a standard deviation of . Does the treatment group have a higher standard deviation for serum retinol concentration than the control group at thelevel of significance? It is known that serum retinol concentration is normally distributed. Use the P-value approach to perform the test.

Letrepresent the population standard deviation for the treatment group andrepresent the population standard deviation for the control group. State the null and alternative hypotheses for this test.

:

mu 1

sigma 1

ModifyingAbove p with caret 1

equals

less than

greater than

not equals

sigma 2

mu 2

ModifyingAbove p with caret 2

:

mu 1

sigma 1

ModifyingAbove p with caret 1

equals

not equals

greater than

less than

sigma 2

ModifyingAbove p with caret 2

mu 2

Use technology to find the P-value for this test.

The P-value is

nothing.

(Round to three decimal places as needed.)

Make a statement regarding the null hypothesis and draw a conclusion for this test.

Since the P-value is

greater than

less than

thelevel of significance,

reject

do not reject

the null hypothesis. There

is not

is

sufficient evidence to conclude that the treatment group has a higher standard deviation for serum retinol concentration than the control group at thelevel of significance.