Class Activity 160 X Empirical Versus Theoretical Probability: Picking Cubes from a Bag
CCSS CCSS SMP4, 7.SP6
Each person (or small group) will need an opaque bag. 3 red cubes. 7 blue cubes, and a sticky note.
Bag
C
1. Put the 10 cubes in the bag. mix them up, and randomly pick a cube from the bag with
out looking. Record the color of the cube, and put the cube back in the bag. Repeat
until you have picked 10 cubes. Record the number of red cubes you picked on your
sticky note Calculate the empirical probability of picking a red cube based on your
10 picks. Is it the same as the theoretical probability of picking reur

Overproduction of uric acid in the body can be an indication of cell breakdown. this may be an advance indication of illness such as gout, leukemia, or lymphoma.† over a period of months, an adult male patient has taken nine blood tests for uric acid. the mean concentration was x = 5.35 mg/dl. the distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.87 mg/dl. (a) find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. what is the margin of error? (round your answers to two decimal places.) lower limit upper limit margin of error (b) what conditions are necessary for your calculations? (select all that apply.) σ is unknown n is large σ is known normal distribution of uric acid uniform distribution of uric acid (c) interpret your results in the context of this problem. there is not enough information to make an interpretation. the probability that this interval contains the true average uric acid level for this patient is 0.05. the probability that this interval contains the true average uric acid level for this patient is 0.95. there is a 95% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. there is a 5% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. (d) find the sample size necessary for a 95% confidence level with maximal margin of error e = 1.10 for the mean concentration of uric acid in this patient's blood. (round your answer up to the nearest whole number.) blood tests