Suppose x has a distribution with u = 30 and o = 22. A USE SALT (a) If a random sample of size n = 36 is drawn, find uz, o ; and P(30 sis 32). (Round o, to two decimal places and the probability to four decimal places.) P(30 sxs 32) = (b) If a random sample of size n = 64 is drawn, find u- oz and P(30 s x s 32). (Round o - to two decimal places and the probability to four decimal places.)

For the use of a test for a certain disease, the sensitivity is 0.95, the specificity is 0.95, and the prevalence is 0.004. a. Given that a test is positive, find the probability that a random patient has the disease. b. Draw a tree diagram for a typical sample of 1000 patients. c. Of the cases that are positive, explain why the proportion in error is larger if the prevalence is lower. a. The probability is approximately. (Round to four decimal places as needed.) ***

One of my homework questions... Given that X ~ N(300, 15). We survey 20 at a time and are interested in the distribution of X-bar. What can be said about the median of the random variable X-bar?   The group of answer choices   It is the same as the average of X. All answers are correct. It is the same as the average of X-bar. It is the same as the median of X.   I think it's all of the above, but not totally sure

A computer selects a number X from 4 to 11 randomly and uniformly. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U(| b. Suppose that the computer randomly picks 39 such numbers. What is the distribution of a for this selection of numbers. a - N( c. What is the probability that the average of 39 numbers will be less than 6.6?

Suppose x has a distribution with ? = 14 and ? = 7.   (a) If a random sample of size n = 33 is drawn, find ?x, ? x and P(14 ≤ x ≤ 16). (Round ?x to two decimal places and the probability to four decimal places.) ?x =  ? x =  P(14 ≤ x ≤ 16) =  (b) If a random sample of size n = 65 is drawn, find ?x, ? x and P(14 ≤ x ≤ 16). (Round ? x to two decimal places and the probability to four decimal places.) ?x =  ? x =  P(14 ≤ x ≤ 16) =  (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).)The standard deviation of part (b) is      part (a) because of the      sample size. Therefore, the distribution about ?x is      .

What is the distribution of p when the sample is "large enough"? O A. P(1-P) -N P. O B. P(1-p) P. n-1 Oc. p(1-p) -N P, n-1 O D. ~Np, p(1-p) O E. p(1-p)

6)  A population has M = 37 and SD =10. If this distribution is transformed into a new distribution with M + 100 and SD = 20, what new values will be obtained for each of the following scores?   47; 52; 57

A computer selects a number X from 0 to 5 randomly and uniformly. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( b. Suppose that the computer randomly picks 38 such numbers. What is the distribution of x for this selection of numbers. NO c. What is the probability that the average of 38 numbers will be less than 2?