Assume that a sample of 100 individuals resulted in a mean of 2.75 cups of coffee per day and that a sample of 250 men over the age of 18 has a mean weight of 201 lbs. Use the alternative hypothesis (H1) to help you write the problem to be computed in probability notation as we did in class, for each scenario. This following is known about the the populations and is NOT based on a sample. The true s. d. of cups of coffees consumed per day is 1.5 and the true s. d. of weight is 30 lbs. Test the hypotheses you wrote for the pre-class assignment using a 5% level of significance. Decide whether to reject the null in each case. In your owns words, explain what conclusion we can draw based on the test.

If 90° < θ < 180° and cotθ = -1/3, then cscθ =

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

What number should be added to both sides of the equation to complete this square? x^2-10x=7