Testing for ESP. An extrasensory perception (ESP) experiment is conducted by a psychologist. For part of the experiment, the psychologist takes 10 cards numbered 1–10 and shuffles them. Then she looks at the cards one at a time. While she looks at each card, the subject writes down the number he thinks is on the card. a. How many possibilities are there for the order in which the subject writes down the numbers? b. If the subject has no ESP and is just guessing each time, what is the probability that he writes down the numbers in the correct order, that is, in the order that the cards are actually arranged? c. Based on your result from part (b), what would you conclude if the subject writes down the numbers in the correct order? Explain your answer.

Does the location of your seat in a classroom play a role in attendance or grade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4 meters from the front of the class, the 400 students in group 2 sat 4 to 6.5 meters from the front, the 400 students in group 3 sat 6.5 to 9 meters from the front, and the 400 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). Click the icon to view the chi-square table of critical values. (a) For the first half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each group attended, on average? Is there a significant difference among the groups in attendance patterns? 3 4 Group Attendance 1 0.84 0.84 0.84 0.80 The number of students who attended in the first…

The following tables show the make-up of students in a school's math club. Male Female | Totals Freshmen 3 Sophomores 6 4 10 Juniors 7 12 Seniors 4 6 10 Totals 20 20 40 P(juniors I male)? 3 20

A Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to choose 25 students from the class and ask them for their age. All 200 names are put in a hat and 25 names are then chosen at random (without replacement). The average age of the students chosen is observed to be 231 months. The group of 25 students is known as what?