Question

1. In 2012, the Journal for Obstetrics and Gynecology reported that the mean weight of all babies in the U.S. was 7.45 pounds.  A doctor was concerned that the birth weight of babies delivered at a local hospital was significantly below the national average.  The doctor examined n = 35 recent births at the hospital and found that the mean birth weight was 7.3 pounds with a standard deviation of 0 pounds.  The distribution of the 35 birth weights was skewed to the right.  The doctor performs a hypothesis test using H₀: µ= 7.45 and H_A: µ< 7.45, which results in the following output.

                   Mean            Sample Mean          Std. Err.      DF                    t-Stat           p-value

                       µ                                7.30                          .169           34           -0.887                0.1905                         

              Usingα= .05, which of the following is a correct conclusion from this test?

1. The mean birth weight of babies at this hospital is significantly lower than the U.S. average.
2. The mean birth weight of babies at this hospital is the same as the U.S. average.
3. The test results should not be used because the alternate hypothesis is incorrect.
4. There is insufficient evidence to conclude that the mean birth weight at this hospital is below the U.S. average.
5. Conditions for the test were not met so the p-value should not be used.

Answer 1