One-Sample T-test:The US CDC reports that the average weight of healthy 12-hour-old infants is

7.5 lb. A sample of 10 newborn babies from a low-income neighborhood yielded the following weights (in pounds) at 12 hours after birth:

6.0

8.6

7.5

8.2

8.0

8.1

6.4

6.0

7.2

4.8

The researcher wants to know if we can conclude that babies from this neighborhood are underweight with = 0.01.

1. Write the null and alternate hypotheses.
2. The researcher argues that a one-sided test is needed. Can you support her claim logically? Do you think a one-sided test could be justified here? Explain.
3. Run a one-sample t-test using the sample data above. What is your p-value from your results?
4. What is your conclusion to our hypotheses?