(Solved): 1. A company that produces breakfast cereals is interested in the protein content of wheat, the ba ...

1. A company that produces breakfast cereals is interested in the protein content of wheat, the basic raw material of its products. The protein content (percentages of mass) of 29 samples of wheat (percentages) was recorded as follows: You are given the following values: \[ \sum_{i=1}^{n} x_{i}^{2}=2908.69 \quad \sum_{i=1}^{n-1} x_{(i)}^{2}=2744.85 \] a) Using this information, calculate the value of \( x_{(29)} \). b) The sample standard deviation for the data above is 1.671906. Use the expression for the sample variance to calculate the mean of the sample. (Hint: First calculate \( \sum_{i=1}^{n} x_{i} \) from the sample variance.) 2. Comment on the statistics produced below for a random sample of marks from a previous STA1000 cohort. Use the statistics to indicate relationships between Class Record and Exam Mark.