From a group of nine (9) people, four (4) individuals are to be selected at random. How many selections are possible? 25 112 92 44 24 20 36 88 56 24 98 49 108 G

As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 300 red marbles. She asks her students to determine how many red marbles are in the bag without counting them.A student randomly draws 100 marbles from the bag. Of the 100 marbles, 33 are red.The target population consists of The 100 marbles drawn by the student The 1000 marbles in the bag None of the above The 33 red marbles drawn by the student The 300 red marbles in the bag The sample consists of The 1000 marbles in the bag The 100 marbles drawn by the student The 33 red marbles drawn by the student None of the above The 300 red marbles in the bag Based on the sample, the student would estimate that ------   marbles in the bag were red.

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

answer the questions in the picture please.

A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.

An Internet banking system uses passwords that are six characters, and each character are one of the 26 letters (a – z) or 10 digits (0 – 9). The first character must be a letter. The passwords are not case-sensitive. Determine the proportion of passwords that begins with a vowel or ends with an odd number.

A store manager gathers some demographic information from the store's customers. The following chart summarizes the age-related information they collected: