(06.03 MC)  Marcus wants to determine how age and weight are related to exercise preference in his town. He selects a simple random sample of 75 overweight individuals from the 25- to 35-year age group and records their age, weight, and exercise preference (sports, Pilates/yoga, dancing, none). He also selects an independent simple random sample of 50 normal-weight individuals from the 40- to 50-year age group and records the same information. Which is the most important observation about Marcus’s plan? (3 points)

An NP is reading a chart prior to seeing a six-month old infant for a well child check and notices his head circumference has increased from the 10th percentile to the 50th percentile. The NP should first:

Write the sum using summation notation, assuming the suggested pattern continues. 4 – 24 + 144 – 864 + … (7 points)

(05.05 MC)  Your body loses sodium when you sweat. Researchers sampled 38 random tennis players. The average sodium loss was 500 milligrams per pound and the standard deviation was 62 milligrams per pound. Construct and interpret a 99% confidence interval to estimate the mean loss in sodium in the population. (5 points)

You are considering a beam design that has dimensions of b = 14 in., h = 22 in., and d = 19.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 4,300 psi, and the yield strength of the reinforcement is 60,000 psi. What cross-sectional area of reinforcement is needed to achieve a strain in the reinforcement of 0.0075?

You are considering a beam design that has dimensions of b = 14 in., h = 30 in., and d = 27.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 10,000 psi, and the yield strength of the reinforcement is 60,000 psi. What cross-sectional area of reinforcement is needed to achieve a strain in the reinforcement of 0.0075?

You are considering a beam design that has dimensions of b = 14 in., h = 24 in., and d = 21.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 6,700 psi, and the yield strength of the reinforcement is 60,000 psi. What cross-sectional area of reinforcement is needed to achieve a strain in the reinforcement of 0.0075?

A beam has dimensions of b = 18 in., h = 22 in., and d = 19.5 in. and is reinforced with 5 No. 7 bars. The concrete strength is 7,600 psi, and the yield strength of the reinforcement is 60,000 psi. Assuming the reinforcement has yielded, determine the tensile force T in the reinforcement.

A beam has dimensions of b = 18 in., h = 28 in., and d = 25.5 in. and is reinforced with 4 No. 7 bars. The concrete strength is 3,100 psi, and the yield strength of the reinforcement is 60,000 psi. Assuming the reinforcement has yielded, determine the depth to the neutral axis, c.

(05.04 HC)  A program was created to randomly choose customers at a sporting goods store to receive a discount. The program claims 25% of the receipts will get a discount in the long run. The manager of the sporting goods store is skeptical and believes the program’s calculations are incorrect. She selects a random sample and finds that 22% received the discount. The confidence interval is 0.22 ± 0.04 with all conditions for inference met. Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain. (3 points)Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.25 probability? Explain. (2 points)Part C: Another random sample of receipts is taken. This sample is four times the size of the original. Twenty-two percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval? (2 points)Part D: Using the margin of error from the second sample in part C, is the program working as planned? Explain. (3 points) (10 points)