One of the four primary reasons for using compression reinforcement in beams is reduced sustained-load deflections.

(05.01 MC)  Suppose we select a simple random sample of size n = 250 from a large population with a proportion p of successes. Let p̂ be the proportion of successes in the sample. For which value of p is it appropriate to use the Normal approximation for the sampling distribution of p̂? (4 points)

(05.01 MC) Mateo is baking a ham. He must make sure the ham has a minimum internal temperature of 145 degrees so that it is safe to eat. Using a thermometer, he takes the temperature of the ham in four random places. The minimum temperature in the sample is 150 degrees. Identify the population and the sample. (4 points)

(05.02 MC)  A nail fabrication machine makes nails with a target length of μ = 2.35 inches. The machine has some variability, so the standard deviation of the length is σ = 0.2 inch. The machine operator inspects a random sample of 10 nails each hour for quality control purposes and records the sample mean diameter, x̄. Assuming the process is working properly, what are the mean and standard deviation of the sampling distribution of x̄? (4 points)

Write the sum using summation notation, assuming the suggested pattern continues. 4 – 12 + 36 – 108 + … (5 points)

(04.06 MC)  Given a normal distribution with a mean of 120 and a standard deviation of 12, what percentage of values is within the interval 96 to 144? (4 points)

State whether the given measurements determine zero, one, or two triangles. C = 37°, a = 16, c = 14 (5 points)

One can be an incredibly fit individual but not be in a state of optimal wellness.  

(05.04 MC)  A zoning board in Pine County is interested in estimating the proportion of its residents in favor of larger school zones in that county. A random sample of Pine County residents was selected. All the selected residents were asked, “Are you in favor of larger school zones in your county?” A 95% confidence interval for the proportion of residents in favor of larger school zones in that county was calculated to be 0.48 ± 0.02. Which of the following statements is correct? (4 points)

(04.02 MC)  A coin is weighted so that the probability of tails is 0.58. The coin is tossed 25 times, and the number of times tails is shown is recorded. This procedure is repeated 150 times with the number of times tails is shown noted each time. What kind of distribution is simulated? (4 points)