Suppose that your psychology professor, Dr. I. D. Ego, wants to evaluate people's driving ability after 24 hours of sleep deprivation. She develops a test of driving skill (scores ranging from 1=bad driving to 10 = excellent driving) and administers it to 101 drivers who have been paid to stay awake for 24 hours. The scores from the group had a mean of 4.5 and a standard deviation of 1.6. Determine if the sleep-deprived group mean is significantly different from the known population mean of 5.8 for the driving test. Assume alpha = 0.05.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

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