An ecologist wishes to mark off a circular sampling region having radius 12 m. However, the radius of the resulting region is actually a random variable R with the following pdf. -- 1- (12-1)²] 0 11 ≤rs 13 otherwise. What is the expected area of the resulting circular region? (Round your answer to two decimal places.) 453.02 m² Viewing Saved Work Revert to Last Response

A random sample from a normal population has:n = 8, X-bar = 16, and s = 3. Find the 95% PI for asingle new value from the population.

The approximate​ Z-score that corresponds to a right tail area of 0.42 is

A random sample of 100 observations is selected from a binomial population with unknown probability of success, p. The computed value of p is equal to 0.73. Complete parts a through e. c. Test Ho: p=0.92 against H₂: p*0.92. Use α = 0.05. Find the rejection region for the test. Choose the correct answer below. OA. z 1.96 OC. z> 1.645 OE. z> 1.96 Calculate the value of the test statistic. Z= (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. O A. Do not reject Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. OB. Reject Ho. There is sufficient evidence at the α = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. OC. Do not reject Ho. There is insufficient evidence at the a= 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. O D.…