Question
When birth weights were recorded for a simple random sample of 11 male babies born to mothers in a region taking a special vitaminsupplement, the
When birth weights were recorded for a simple random sample of 11 male babies born to mothers in a region taking a special vitaminsupplement, the sample had a mean of 3.671 kilograms and a standard deviation of 0.666 kilogram. Use a 0.05 significance level to test the claim that the mean birth weight for all male babies of mothers given vitamins is different from 3.38 kilograms, which is the mean for the population of all males in this particular region. Based on theseresults, does the vitamin supplement appear to have an effect on birthweight?
Formulate the null and alternative hypotheses. Choose the correct answer below.
A.
H0: =3.38
Ha: <3.38
B.
H0: =3.38
Ha: >3.38
C.
H0: =3.38
Ha: 3.38
D.
H0: 3.38
Ha: =3.38
Find the test statistic.
t=
nothing
(Round to three decimal places asneeded.)
Find theP-value.
P-value=
nothing
(Round to three decimal places asneeded.)
State the conclusion.
A.
Do not reject H0. There is not sufficient evidence to support the claim that the mean birth weight for all male babies of mothers given vitamins is different from 3.38 kilograms. Vitamin supplements do not appear to have an effect on birth weight.
B.
Reject H0. There is sufficient evidence to support the claim that the mean birth weight for all male babies of mothers given vitamins is different from 3.38 kilograms. Vitamin supplements appear to have an effect on birth weight.
C.
Do not reject H0. There is sufficient evidence to support the claim that the mean birth weight for all male babies of mothers given vitamins is different from 3.38 kilograms. Vitamin supplements appear to have an effect on birth weight.
D.
Reject H0. There is not sufficient evidence to support the claim that the mean birth weight for all male babies of mothers given vitamins is different from 3.38 kilograms. Vitamin supplements do not appear to have an effect on birth weight.
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