1. a sample of 40 individuals is randomly selected from a normal population with μ = 100 and σ = 25. those individuals are treated, and the treatment is expected to increase scores by 6.2 points. assuming a two-tailed hypothesis test with α = .05, what is the chance of making a type i error? (1 point)
2. continuing with this second scenario you have just determined the alpha level for a study that has these characteristics:
3. a sample of 40 individuals is randomly selected from a normal population with μ = 100 and σ = 25. those individuals are treated, and the treatment is expected to increase scores by 6.2 points. you use a two-tailed hypothesis test with α = .05 to see if the treatment is statistically significant.
4.based on this information, what is the power associated with the statistical test? provide your answer and show some work to potentially earn partial credit. remember, calculating power is a multi-step process. (1 point)

i had to tie all these questions together as it is one large question on my assignment

Solve each quadratic equation by factoring and using the zero product property. n^2 - 49 = 0

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.

50 will mark show all use the linear combination method to solve the system of equations. explain each step of your solution. if steps are not explained, you will not receive credit for that step. 2x+9y= -26 -3x-7y=13