(04.06 MC)  The grades on the last science exam had a mean of 89%. Assume the population of grades on history exams is known to be distributed Normally, with a standard deviation of 14%. Approximately what percent of students earn a score between 75% and 89%? (4 points)

(05.05 MC)  Potassium helps the human body prevent muscle cramping. Researchers sampled 52 random professional wrestlers. The average potassium level was 3.8 millimoles per liter and the standard deviation was 1.4 millimoles per liter. Construct and interpret a 95% confidence interval to estimate the mean potassium level in the population. (5 points)

A beam has dimensions of b = 20 in., h = 10 in., and d = 7.5 in. and is reinforced with 4 No. 9 bars. The concrete strength is 3,800 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 4.371 in., does the reinforcement yield?

(05.01 MC) Mateo is roasting a chicken. He must make sure the chicken has a minimum internal temperature of 165 degrees so that it is safe to eat. Using a thermometer, he takes the temperature of the chicken in three random places. The minimum temperature in the sample is 172 degrees. Identify the population and the sample. (4 points)

(04.06 MC)  The mean household income for a certain state is $69,000 with a standard deviation of $10,000. Assuming a Normal distribution, about 95 percent of all households have an income over what amount? (4 points)

(05.02 LC)  Given a population mean of 53.7 with a standard deviation of 1.3 and a sample size of 6, answer these questions: Part A: What is the standard deviation of the sampling distribution of x̄? Show your work. (5 points) Part B: What does the sample size need to be if you want the standard deviation of the sampling distribution of x̄ to be 0.325? Show your work. (5 points) (10 points)

Determine As,min for the following beam given that f’c = 7,750 psi and fy = 60,000 psi.

In assessing a child for school readiness at kindergarten age, the most important component to emphasize is:

A 14-year old boy is concerned because he is now the shortest boy in the 9th grade. His bone age is behind his chronological age, but is equal to his height age. Which of the following statements can you make for sure?

To delay buckling of compression steel in a beam, _______.