all below questions. Show your calculations, and where asked, explain your answers. Using the Statistical table presented in "Unit 4 Reading Assignment" (Table 4.1), list the one tailed probabilities (either positive or negative) that correspond to each of the following z scores: -1.79 -0.03 2.2 7.00 0.004 0.534 2. A group of 40 children attending two classes in a regional school was randomly selected to calculate their body mass index. The mean weight of the children was 25.5 kilograms, with a population standard deviation of 3.1 kilograms. Based on these figures, calculate the following (show your calculations): The 99% confidence interval for weight of this sample of children The 95% confidence interval for weight of this sample of children 3. In a metropolitan hospital, a researcher in the Maternity Ward reported one-year data on the length of newly born babies. The mean and standard deviation of the Normal curve describing the distribution of length of the babies were 48 cm and 5.2 cm, respectively. Show your calculations. What is the likelihood (i.e., probability) that a randomly selected baby would have a length of at least 70 cm? What is the likelihood that a randomly selected baby would have a length between 40 cm and 60 cm? 4. A team of researchers wanted to investigate the effects of a newly developed drug to lower blood pressure. They conducted a controlled study with two groups: an intervention group (n=150) that received the new medication and a control group (n=95) that continued with the standard treatment. The mean blood pressure of the treatment group was 35 mm Hg and the mean blood pressure of the control was 140 mm Hg. Suppose we know the population standard deviations of the new medicine to be (25 mm Hg) and the standard treatment to be 23 mm Hg). Based on this information, calculate the standard error of the difference of these two means. Show your calculations