A sample of 68 electric motors had a mean efficiency of 0.595 (assume that the standard deviation is known to be 0.05). Let μ represent the mean efficiency of electric motors of this type. Find the P-value for testing H0 : μ ≥ 0.6 versus H1 : μ < 0.6.

P-value =

The box plot shows the number of raisins found in sample boxes from brand c and from brand d. each box weighs the same. what could you infer by comparing the range of the data for each brand? a) a box of raisins from either brand has about 28 raisins. b) the number of raisins in boxes from brand c varies more than boxes from brand d. c) the number of raisins in boxes from brand d varies more than boxes from brand c. d) the number of raisins in boxes from either brand varies about the same.

In the geometric progression –3, 12, −48… what term is 3,072?

In the diagram, gef and hef are congruent. what is the value of x