In a randomized, double-blind experiment, 80 babies were randomly divided into a treatment group (n=40) and a control group (₂-40). After the study, the treatment group had a mean serum retinol concentration of 42.95 micrograms per deciliter (ug/dl) with a standard deviation of 16 23 µg/dl, while the control group had a mean serum retinol concentration of 10.26 µg/dl with a standard deviation of 6.79 µg/dL. Does the treatment group have a higher standard deviation for serum retinol concentration than the control group at the a=0.01 level of significance? It is known that serum retinol concentration is normally distributed. Use the P-value approach to perform the test. Let o represent the population standard deviation for the treatment group and a represent the population standard deviation for the control group. State the null and alternative hypotheses for this test. Ho 0₂ 02 H₂: 01 > 02 Use technology to find the P-value for this test The P-value is (Round to three decimal places as needed.)

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In a randomized, double-blind experiment, 80 babies were randomly divided into a treatment group (n=40) and a control group (n₂-40). After the study, the
treatment group had a mean serum retinol concentration of 42.95 micrograms per deciliter (ug/dL) with a standard deviation of 16 23 µg/dL, while the control group
had a mean serum retinol concentration of 10.26 µg/dL with a standard deviation of 6.79 µg/dL. Does the treatment group have a higher standard deviation for serum
retinol concentration than the control group at the a= 0.01 level of significance? It is known that serum retinol concentration is normally distributed. Use the P-value
approach to perform the test.
Let a represent the population standard deviation for the treatment group and 02 represent the population standard deviation for the control group. State the nuil and
alternative hypotheses for this test.
Ho: 01 = 02
H₁: 01
02
Use technology to find the P-value for this test
The P-value is
(Round to three decimal places as needed.)
Transcribed Image Text:In a randomized, double-blind experiment, 80 babies were randomly divided into a treatment group (n=40) and a control group (n₂-40). After the study, the treatment group had a mean serum retinol concentration of 42.95 micrograms per deciliter (ug/dL) with a standard deviation of 16 23 µg/dL, while the control group had a mean serum retinol concentration of 10.26 µg/dL with a standard deviation of 6.79 µg/dL. Does the treatment group have a higher standard deviation for serum retinol concentration than the control group at the a= 0.01 level of significance? It is known that serum retinol concentration is normally distributed. Use the P-value approach to perform the test. Let a represent the population standard deviation for the treatment group and 02 represent the population standard deviation for the control group. State the nuil and alternative hypotheses for this test. Ho: 01 = 02 H₁: 01 02 Use technology to find the P-value for this test The P-value is (Round to three decimal places as needed.)
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