Preliminary data analyses indicate that use of a paired t-test is reasonable in the following exercise. Perform the hypothesis test by using the P-value approach. At the 1% significance level, do the accompanying data provide sufficient evidence to conclude that, on average, drinking fortified orange juice increases the serum 25(OH)D concentration in the blood? (Note: The mean and standard deviation of the paired differences are and , respectively.) Researchers conducted a study to determine whether fortifying orange juice with vitamin D would increase serum 25-hydroxyvitamin D [25(OH)D] concentration in the blood. A double-blind experiment was used in which 14 subjects drank 240 mL per day of orange juice fortified with 1000 IU of vitamin D and 12 subjects drank 240 mL per day of unfortified orange juice. Concentration levels were recorded at the beginning of the experiment and again at the end of 12 weeks. The accompanying data, based on the results of the study, provide the before and after serum 25(OH)D concentrations in the blood, in nanomoles per liter (nmo/L), for the group that drank the fortified juice. Data table for before and after serum 25(OH)D concentrations in the blood Before After Before 136.5 162.8 75.6 146.7 144.9 249.6 20.3 98.7 22.9 72.4 108.1 161.5 109.3 141.6 86.9 128.6 121.7 192.8 151.8 238.9 54.9 78.3 23.2 43.0 122.6 189.5 44.2 112.5 State the null and alternative hypotheses. Let the Before values be population 1 and the After values be population 2. Choose the correct answer below. A. H0: μ1=μ2 Ha: μ1<μ2 B. H0: μ1≠μ2 Ha: μ1=μ2 C. H0: μ1=μ2 Ha: μ1>μ2 D. H0: μ1=μ2 Ha: μ1≠μ2 Determine the test statistic, t. t=___________ (Round to two decimal places as needed.) Determine the range of the P-value. The P-value is _____________ (less than 0.005, between 0.025 and 0.05, between 0.01 and 0.025 or between 0.005 and 0.01) State your conclusion. Choose the correct answer below. A. Do not reject H0. The data provide sufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood. B. Reject H0. The data provide insufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood. C. Reject H0. The data provide sufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood. D. Do not reject H0. The data provide insufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood.

Preliminary data analyses indicate that use of a paired t-test is reasonable in the following exercise. Perform the hypothesis test by using the P-value approach. At the 1% significance level, do the accompanying data provide sufficient evidence to conclude that, on average, drinking fortified orange juice increases the serum 25(OH)D concentration in the blood? (Note: The mean and standard deviation of the paired differences are and , respectively.) Researchers conducted a study to determine whether fortifying orange juice with vitamin D would increase serum 25-hydroxyvitamin D [25(OH)D] concentration in the blood. A double-blind experiment was used in which 14 subjects drank 240 mL per day of orange juice fortified with 1000 IU of vitamin D and 12 subjects drank 240 mL per day of unfortified orange juice. Concentration levels were recorded at the beginning of the experiment and again at the end of 12 weeks. The accompanying data, based on the results of the study, provide the before and after serum 25(OH)D concentrations in the blood, in nanomoles per liter (nmo/L), for the group that drank the fortified juice. Data table for before and after serum 25(OH)D concentrations in the blood Before After Before 136.5 162.8 75.6 146.7 144.9 249.6 20.3 98.7 22.9 72.4 108.1 161.5 109.3 141.6 86.9 128.6 121.7 192.8 151.8 238.9 54.9 78.3 23.2 43.0 122.6 189.5 44.2 112.5 State the null and alternative hypotheses. Let the Before values be population 1 and the After values be population 2. Choose the correct answer below. A. H0: μ1=μ2 Ha: μ1<μ2 B. H0: μ1≠μ2 Ha: μ1=μ2 C. H0: μ1=μ2 Ha: μ1>μ2 D. H0: μ1=μ2 Ha: μ1≠μ2 Determine the test statistic, t. t=_ (Round to two decimal places as needed.) Determine the range of the P-value. The P-value is ___ (less than 0.005, between 0.025 and 0.05, between 0.01 and 0.025 or between 0.005 and 0.01) State your conclusion. Choose the correct answer below. A. Do not reject H0. The data provide sufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood. B. Reject H0. The data provide insufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood. C. Reject H0. The data provide sufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood. D. Do not reject H0. The data provide insufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood.

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Description: Preliminary data analyses indicate that use of a paired t-test is reasonable in the following exercise. Perform the hypothesis test by using the P-value approach. At the 1% significance level, do the accompanying data provide sufficient evidence

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Researchers conducted a study to determine whether fortifying orange juice with vitamin D would increase serum 25-hydroxyvitamin D [25(OH)D] concentration in the blood. A double-blind experiment was used in which 14 subjects drank 240 mL per day of orange juice fortified with 1000 IU of vitamin D and 12 subjects drank 240 mL per day of unfortified orange juice. Concentration levels were recorded at the beginning of the experiment and again at the end of 12 weeks. The accompanying data, based on the results of the study, provide the before and after serum 25(OH)D concentrations in the blood, in nanomoles per liter (nmo/L), for the group that drank the fortified juice.

Data table for before and after serum 25(OH)D concentrations in the blood

Before	After	Before
136.5	162.8	75.6	146.7
144.9	249.6	20.3	98.7
22.9	72.4	108.1	161.5
109.3	141.6	86.9	128.6
121.7	192.8	151.8	238.9
54.9	78.3	23.2	43.0
122.6	189.5	44.2	112.5

State the null and alternative hypotheses. Let the Before values be population 1 and the After values be population 2. Choose the correct answer below.

A. H0: μ1=μ2 Ha: μ1<μ2

B. H0: μ1≠μ2 Ha: μ1=μ2

C. H0: μ1=μ2 Ha: μ1>μ2

D. H0: μ1=μ2 Ha: μ1≠μ2

Determine the test statistic, t.

t=___________

(Round to two decimal places as needed.)

Determine the range of the P-value.

The P-value is _____________ (less than 0.005, between 0.025 and 0.05, between 0.01 and 0.025 or between 0.005 and 0.01)

State your conclusion. Choose the correct answer below.

A. Do not reject H0. The data provide sufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood.

B. Reject H0. The data provide insufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood.

C. Reject H0. The data provide sufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood.

D. Do not reject H0. The data provide insufficient evidence to conclude that drinking fortified orange juice increases the serum's concentration in the blood.

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