1)The birth weight of newborns from mothers with full-term pregnancy is normally distributed. Based on medical records, the average birth weight of Canadian newborns from full-term pregnancy is 3,375 grams. However, there is some evidence that mothers with uncontrolled diabetes are more likely to deliver newborns with a higher birth weight. To test this claim, a biostatistician obtains a simple random sample of 27 women with uncontrolled diabetes and who delivered at full-term and find that the average birth weight is 3,399 grams with a standard deviation of 101 grams. [12 Marks]

1. Conduct an appropriate analysis to test the claim that there is no significant difference in the mean birth weight of newborns born at full-term to mothers with uncontrolled diabetes compared to the general population. Assume the significance level is set at 0.05.
2. a)Include hypotheses, test statistic calculation, and report the critical value
3. b)Provide a complete concluding statement(s) for the research question.
4. c)Calculate the confidence intervals and interpret the values in a statement.