There are a total of 19,935 IRSC students, 72% of which are under the age of 25. In a random sample of 794 students, 70% are found to be under the age of 25. Determine how many in the population and the sample, respectively, are under the age of 25. Round solutions to the nearest whole number, if necessary. ____ IRSC students are under the age of 25 ____ students in the random sample 794 IRSC students are under the age of 25

According to research, 55% of millennials (those born between 1981 and 1997) reported using a library or bookmobile within the last year. Suppose that a random sample of 200 millennials is taken. Complete parts a and b below. Since 195 is a. Complete this sentence: We would expect We would expect 110 of the sample to have used a library or bookmobile within the last year, give or take (Round to the nearest integer as needed.) b. Would it be surprising to find that 195 of the sample have used a library or bookmobile within the last year? Why or why not? be surprising. ▼than 2 of the sample to have used a library or bookmobile within the last year, give or take 1. from the it

A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below.  (enter answer with no commas, i.e. as 1000 not 1,000.)     Infected Not Infected Total Positive Test [a] [b] [c] Negative Test [d] [e] [f] Total 800 99,200 100,000 i) Find the probability that a person has the virus given that they have tested positive. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[g]_______ % ii) Find the probability that a person does not have the virus given that they test negative. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[h]________ %

Twelve runners are asked to run a 10-kilometer race on each of two consecutive weeks. In one of the races, the runners wear one brand of shoe and in the other, a different brand. The brand of shoe they wear in each race is determined at random. All runners are timed and are asked to run their best in each race. The results (in minutes) are given below. ​ Runner Brand 1 Brand 2 1 31.23 32.02 2 29.33 28.98 3 30.50 30.63 4 32.20 32.67 5 33.08 32.95 6 31.52 31.53 7 30.68 30.83 8 31.05 31.10 9 33.00 33.12 10 29.67 29.50 11 30.55 30.57 12 32.12 32.20 ​ Use the sign test for matched pairs to determine if there is evidence that times using Brand 1 tend to be faster than times using Brand 2. What is the (approximate) value of the P-value?   a. 0.073   b. 0.042   c. 0.05   d. 0.019