2. Develop a UMP test for Họ: µ=75 versus Ha: u>75 in a normal distribution with variance equal to 100. Assume n=25 and a=0.10. Find the rejection region. | b. Find the power of the test when the mean is 76.

What is the area of a standard normal distribution between z = - 0.83 and z = 1.83?

Determine the area under the standard normal curve that lies between z=-1.50 and z=1.50. [Please write you answer as a whole  percentage]

The following table shows the hours studied and corresponding test grade earned by students on a recent test. Calculate the correlation coefficient, r, and determine whether r is statistically significant at the 0.01 level of significance. Round your answer to the nearest thousandth. Critical Values of the Pearson Correlation Coefficient Hours Studied and Test Grades Hours Studied 0 0.5 2 2.25 3.25 3.5 3.75 3.75 4 5 1 1 81 Test Grade 72 64 68 79 85 82 72 99 87 84 97

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.t Over a period of months, an adult male patient has taken nine blood tests for uric acid. The mean concentration was x = 5.41 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with o = 1.75 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.) normal distribution of uric acid On is large O o is unknown O uniform distribution of uric acid O o is known (c) Interpret your results in the context of this problem. The probability that this interval contains the true average uric acid level for this patient is 0.95. The probability that this…

Find the area of the shaded region under the standard normal curve

Find the area of the shaded region under the standard normal distribution between the given z-scores -1.95 and 1.05.

Give the area in the right tail more extreme than z = .943 in a standard normal distribution.