Find the z-score that corresponds to the given area under the standard normal cu

Question

Find the z-score that corresponds to the given area under the standard normal curve. A multiple regression equation is y = -35,000 + 130x_1 + 20,000x_2, where x_1 is person's age, x_2 is the person's grade point average in college, and y is the person's income. Predict the income from a person who is 26 years old and had a college grade point average of 2.3. A teacher figures that final grades in the statistics department are distributed as: A, 25%; B, 25% C, 40%; D, 5%; F, 5%. At the end of a randomly selected semester, the following number of grades were recorded. Determine if the grade distribution for the department is different than expected, Use alpha = 0.01.

Explanation / Answer

11.

We get the z score from the given left tailed area. As      
      
Left tailed area =    0.0436  
      
Then, using table or technology,      
      
z =    -1.710356336   [ANSWER]

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12.

As

y^ = -35000 + 130x1 + 20000x2

then if x1 = 26, x2 = 2.3,

y^ = -35000 + 130*26 + 20000*2.3 = $ 14380 [ANSWER]

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