Astudy considers if the mean score on a college entrance exam for students in 2005 is any different from the mean score of 501 for students who took the same exam in 1975. let μ represent the mean score for all students who took the exam in 2005. for a random sample of 40,000 students who took the exam in 2005, x = 499 and s = 100.(a) find the test statistic.(b) find the p-value for testing h0: μ = 501 against ha: μ ≠ 501.a. 0.6b. 0.03456c. 0.06845d. 0.14282(c) explain why the test result is statistically significant but not practically significant. a. this result is statistically significant because the p-value is very small, but it is not practically significant because the null hypothesis mean of 501 is not equal to the sample mean of 499.b. this result is statistically significant because the p-value is not very small, but it is not practically significant because the sample mean of 499 is very close to the null hypothesis mean of 501.c. this result is statistically significant because the p-value is very small, but it is not practically significant because the sample mean of 499 is very close to the null hypothesis mean of 501.

a) z = -4

b) p-value 0.00006

This result is statistically significant because the p-value is very small, but it is not practically significant because the sample mean of 499 is very close to the null hypothesis mean of 501.

Step-by-step explanation:

a)

The test statistic z is given by

where

= 499 the mean for the random sample

= 501 the mean in 1975

s = 100 the standard deviation of the sample

n = 40,000 the sample size

So,

b)

The p-value would be the area under the Normal N(0,1) outside the interval [-4, 4]. This area equals 0.00006  

This result is statistically significant because the p-value is very small, but it is not practically significant because the sample mean of 499 is very close to the null hypothesis mean of 501.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

the football players are volunteering for the test.

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