Statistics students believe that the mean score on the first statistics test is 75.5. A statistics instructor thinks the mean score is less than 75.5. He samples 15 statistics students and obtains the scores shown below. He performs a hypothesis test using a 0.05 level of significance. The data are assumed to be from a normal distribution. 71 74 73 78 75 79 70 66 76 77 72 65 67 68 69 Round answers to 4 decimals where possible. Step (1) Determine the null and alternative hypotheses. Ho : μ = Ha: 2 Step (2) Determine the test statistic and p-value. Test Statistic: ?v= p-value = Step (3) Find the critical value for the rejection region ?v

Why is the sum of the square roots of positive numbers always greater than the square root of their sum, but the sum of two squared numbers always less than the square of the sum of those same two numbers?

100x + 50y + 50z = 10,500 10x + 100y = 1,500 200x + 50y + 150z = 25,500 solve for each variable

Solve for X

Solve EXACTLY like the example attached.

solve algebraically y=x^2-6x+7 and y=-4x+22