help please

(11(15 marks) Fasting blood glucose values taken from 8 children aged 14-16 who report that they routinely eat fast food three or more times a week have produced a sample mean of 103 mg/dL. Fasting blood glucose values below 100 mg/dL are deemed normal. We assume that fasting blood glucose levels follow a Normal distribution with known standard deviation of 4.3 mg/dL. (i) (ii) (iii) At the 1% level of signicance, test if the mean fasting blood glucose level in this group of children is greater than 100 mg/dL Find a 99% condence interval for the mean blood glucose values of the target population. Compare the results under (i) and (ii). Is there an agreement? Explain why. (12 (30 marks) The following gives recordings ofair pollution in a city in the United States on consecutive days. These readings follow an intensive publicity campaign to encourage residents and industries in the town to reduce their carbon emissions by, for example, reducing carjourneys, changing types of fuel etc. The mean air pollution level on the same 36 days the previous year was 4.8 with a standard deviation of 1.8. Does the data suggest that there has been any effect? 6.6 4.7 1.9 8.1 (ii 1\") 2.1 4.5 4.9 4.9 2.3 4.8 2.9 4.0 8.3 5.3 4.8 4.4 3 .4 5.6 4.8 2.9 2.4 3.3 5.3 5.2 4.6 6.5 3.9 5.3 2.3 2.0 4.3 4.6 4.5 3.1 3.6 6.3 At a 5% level of signicance test for a reduction in mean air pollution levels after the campaign as compared to the mean air pollution on the same 36 days of the previous year. Using the appropriate hypothesis test investigate whether the standard deviation of the current sample is different from the standard deviation obtained a year before