Question 7 (Weights of Children) Listed below are the weights (in pounds) of 20 children randomly selected from a group of one million 5 to 5 0 0 0 3 2 33 33 31 1970 100 (a) Construct a stem-and-leaf plot and make your comment on the shape of the distribution Calculate the mean and standard deviation of these sample data. At a significance level of 0.05 test the claim that the mean weight for all children in the group is at least 82 b Assuming the weights of a child is approximately normal conduct a hypothesis test in the following steps Step 1: Write the null and alternative hypotheses in statistic symbols. What type of test is it geft, right, or two-tailed 25 points Sewer Step 2: Assuming the null hypothesis is true, check the requirements and determine the mean and standard deviation of the sampling distribution of the sample statistic. What test statistic should be used? Step 3: Determine the type of test, find the ortical value and sketch the rejection region Step & Calculate the test statistic value Step 5: Make your decision and state your conclusion in plain English For the toolbar, press ALT+F10 (PC) or ALT+N+F BIUS Paragraph xx, Ixa Arial 14px 3 r B MacBook Pro & 6 (02B BE 30 Question 11 (Weights of Childrens Listed below are the weights (in pounds) of 20 children randomly selected from a group of one mil 70 32 35 75 10 80 73 30 3 22 33 59 23 11 (a) Construct a stem-and-leaf plot and make your comment on the shape of the distribution (b) Calculate the mean and standard deviation of these sample data (c) At a significance level of 0.05 test the claim that the mean weight for all children in the group is at least 82 b Assuming the weights of a child is approximately normal, conduct a hypothesis test in the following steps Step 1: Write the null and alternative hypotheses in statistic symbols. What type of test is it (Left, right, or two-tailed? 25 points Step 2: Assuming the null hypothesis is true, check the requirements and determine the mean and standard deviation of the sampling distribution of the sample statistic What test statistic should be um Step 3: Determine the type of test, find the critical value and sketch the rejection region Step 4: Calculate the test statistic value Step 5: Make your decision and state your conclusion in plain English For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac) BIUS Paragraph Arial 14px A v