Syllabus B: Data analysis and statistical techniques

An agricultural research firm is testing a new drought-resistant crop. They divide the country into 10 distinct geographic regions. They randomly select 3 of these regions and then test every single farm within those 3 selected regions. What sampling method is being used?

A cloud hosting provider is launching a new premium server tier. The marketing department has estimated the following probabilities for first-year profits: - 30% probability of $120,000 profit - 50% probability of $80,000 profit - 20% probability of a $20,000 loss (negative profit) Calculate the Expected Value (EV) of the first-year profit. (Enter number only, no commas or symbols)

A seasonal ski resort uses time series analysis to forecast visitor numbers. The underlying trend for Quarter 1 is estimated to be 15,000 visitors. The seasonal variation for Quarter 1 is +20% using a multiplicative model. What is the forecasted number of visitors for Quarter 1?

An electric vehicle (EV) manufacturer is analyzing the cost of raw materials (lithium, cobalt, nickel) over a 3-year period using index numbers. Which of the following statements regarding Laspeyres and Paasche indices are correct? (Select all that apply)

A global logistics company calculates the correlation coefficient (r) between the distance a delivery truck travels and its maintenance costs to be +0.90. What is the coefficient of determination, and what does it signify?

A data center tracks its electricity costs against the number of servers running. In March (highest activity), 8,000 servers were running, and total electricity cost was $45,000. In June (lowest activity), 5,000 servers were running, and total electricity cost was $33,000. Using the high-low method, calculate the variable electricity cost per server. (Enter number only, no commas or symbols)