In: Statistics and Probability
A random sample of 51 newborn babies was taken at Hospital Bella Vista. The sample mean was 6.87 pounds and the standard deviation was 1.76 pounds. In previous studies, the mean newborn weight was found to be 7.5 pounds.
a) Does the sample from Hospital Bella Vista indicate that the mean newborn weight is less than what was found in previous studies? Use a hypothesis test with the 7-step method and the critical value method to verify if there is enough significant evidence (? = 0.15) to negate the results of the previous research.
b) Calculate the p-value of the test statistic.
c) Use R to justify the results of the hypothesis test (and include the R output)