The distribution of scores on a recent test closely followed a Normal distribution with a mean of 22 points and a standard deviation of 4 points.
A What proportion of the students scored at least 25 points on this test?
B. What is the 31st percentile of the distribution of test scores.
C. The teacher wants to transform the test scores so that they have an
approximately Normal distribution with a mean of 80 points and a standard
deviation of 10 points. To do this, she will use a formula of the form:
new score = a +b(old score) . Find the values of a and b that the teacher
should use to transform the distribution of test scores.
D. Before the test, the teacher gave a review assignment for homework. The
maximum score on the assignment was 10 points. The distribution of scores on
this assignment had a mean of 9.2 and a standard deviation of 2.1 points. Would
it be appropriate to use a Normal distribution to calculate the proportion of
students who scored below 7 points on this assignment? Explain.

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