[6 marks] The average weight of 50 randomly selected newborn babies is 3.5 kg. Assuming a population standard deviation of 0.5 kg, does this seem to indicate that the mean weight of newborn babies is greater than 3.3 kg? Use a 0.05 level of significance. a. Write the null and alternative hypotheses. b. Find the test statistic. c. Find the P-value corresponding to the observed value of the test statistic. d. At significance level a = 0.05, state your conclusion regarding the weights of newborns