GreenBeam Limited claims that its compact fluorescent bulbs average no more than 3.24 mg of mercury. A sample of 25 bulbs shows a mean of 3.29 mg of mercury. Required:
a. State the hypotheses for a right-tailed test, using GreenBeam’s claim as the null hypothesis about the mean.
b. Assuming a known standard deviation of 0.21 mg, calculate the z test statistic to test the manufacturer’s claim.
c. At the 1 percent level of significance (α = 0.01) does the sample exceed the manufacturer’s claim?
d. Find the p-value.

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

Find the zeros of each function. f(x) = 6x^2 - 7x - 20

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.