Consider the following time series data. Week 1 2 3 4 сл 5 6 Value 19 12 16 12 17 13 Using the naive method (most recent value) as the forecast for the next week, compute the following measures of forecast accuracy. (a) mean absolute error MAE = (b) mean squared error MSE = (c) mean absolute percentage error (Round your answer to two decimal places.) MAPE = % (d) What is the forecast for week 7?

Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why Toxaphene causes tremors. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for four mice were 1.7, 1.8, 1.9, and 2.0. Part A: Find the mean refractory period and the standard error of the mean.  Part B: Calculate a 90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment. Part C: Suppose the mean absolute refractory period for unpoisoned mice is known to be 1.3 milliseconds. Toxaphene poisoning should slow nerve recovery and therefore increase this period. Do the data give good evidence to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning.

Researchers fed mice a specific amount of Aldrin, a poisonous pesticide, and studied their nervous systems to find out why Aldrin causes convulsions. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for five mice were 2.3, 2.3, 2.4, 2.5, and 2.6. Part A: Find the mean refractory period and the standard error of the mean. Part B: Suppose the mean absolute refractory period for unpoisoned mice is known to be 2.32 milliseconds. Aldrin poisoning should slow nerve recovery and therefore increase this period. Do the data give good evidence at a significance level of 0.05 to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning.

Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why Toxaphene causes tremors. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for five mice were 1.8, 1.9, 2.0, 2.1, and 2.3. Part A: Find the mean refractory period and the standard error of the mean. Part B: Suppose the mean absolute refractory period for unpoisoned mice is known to be 1.85 milliseconds. Toxaphene poisoning should slow nerve recovery and therefore increase this period. Does the data give good evidence at a significance level of 0.10 to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning.