When birth weights were recorded for a simple random sample of 13 male babies born to mothers in a region taking a special vitaminsupplement, the sample had a mean of 3.658 kilograms and a standard deviation of 0.664 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 3.4 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: =3.4

Ha: >3.4

B.

H0: =3.4

Ha: 3.4

Your answer is correct.

C.

H0: =3.4

Ha: <3.4

D.

H0: 3.4

Ha: =3.4

Find the test statistic.

t=

(Round to three decimal places asneeded.)