Question

A prenatal intervention to increase birth weights of babies was being studied. Dataset A is the sample of birth weights for babies whose mothers participated in the program, while dataset B is for babies whose mothers did not participate.

A: 6.1, 5.5, 5.6, 7.0, 6.9, 7.4, 8.0, 9.0, 7.8, 6.9, 8.2, 7.4, 8.3, 6.8, 7.4

B: 6.0, 6.1, 5.5, 5.8, 5.3, 5.9, 5.9, 6.3, 5.7, 6.6, 7.0, 4.5, 5.5, 5.2

1- Obtain a 95% confidence interval for the difference between mean weights for babies whose mothers would participate and for babies whose mothers would not. Assume birth weights for both groups are normally distributed.

2- Test, at level 0.05, whether there is difference between mean weights for babies whose mothers would participate and for babies whose mothers would not. Assume birth weights for both groups are normally distributed.

a) The null hypothesis is

b) The alternative hypothesis is

c) The value of the test statistic is

d) The p-value is

Answer 1

1)

2)