An article describing various aspects of American life indicated that higher educational achievement pays off! College grads work 7.4 hours per day, fewer than those with less than a college education. Suppose that the average work day for a random sample ofn= 100

individuals who had less than a 4-year college education was calculated to bex= 7.9

hours with a standard deviation ofs= 1.6 hours.

(a). Use thep-value approach to test the hypothesis that the average number of hours worked by individuals having less than a college degree is greater than individuals having a college degree.

State the null and alternative hypothesis.

(1) H₀:= 7.4 versusH_a:< 7.4

(2) H₀:7.4 versusH_a:= 7.4

(3) H₀:= 7.4 versusH_a:7.4

(4) H₀:< 7.4 versusH_a:> 7.4

(5) H₀:= 7.4 versusH_a:> 7.4

(b) Find the test statistic and thep-value. (Round your test statistic to two decimal places and yourp-value to four decimal places.)

z= _____

p-value= ______

What is the smallest level at which you can rejectH₀?

= 0.01

= 0.05

= 0.10

(b) If you were a college graduate, how would you state your conclusion to put yourself in the best possible light?

You could claim that you work significantly more hours than those with a college education.

You could claim that you work significantly fewer hours than those with a college education.

You could claim that you work significantly more hours than those without a college education.

You could claim that you work significantly fewer hours than those without a college education.

(c) If you were not a college graduate, how might you state your conclusion?

If you were not a college graduate, you might just report that you work an average of less than 7.4 hours per week.

If you were not a college graduate, you might just report that you work an average of more than 7.4 hours per week.

If you were not a college graduate, you might just report that you work an average of less than 7.9 hours per week.

If you were not a college graduate, you might just report that you work an average of more than 7.9 hours per week.

You may need to use the appropriateappendix tableortechnologyto answer this question.