A researcher wants to study the average lifetime of a certain brand of light bulbs (in hours). In testing the hypotheses, H0:μ=950 hours vs. H1:μ≠950 hours, a random sample of 25 light bulbs is drawn from a normal population whose standard deviation is 200 hours. A) Calculate β, the probability of a Type II error when μ=1000 and α=0.10.B) Calculate the power of the test when μ=1000 and α=0.10.C) Interpret the meaning of the power of the test. D) Recalculate β if n is increased from 25 to 40.E) Review the results of the previous questions. What is the effect of increasing the sample size on the value of β?