4. A professor expects about 30% of his class to get an A in a typical semester. He wonders if this proportion is different in a summer sesion. He collects data on 11 students taking a course with him over the summer and olserves 4 of them getting an A. Is there evidenoe that the proportion of students getting an A in the summer session is different from the proportion getting an A in a typical semester? To answer this question, do the follow: (a) Write out the hypotheses. (b) Discus whether assumptions are met for uwsing the Central Limit Theorem. Based on this, indicate the most appropriate test to conduct for testing the lypotheses. (e) Write the R code for conducting this test.

Question #4. Hehar had lego blocks. He lost 4 pieces home then gave ¼ of the remaining to his friend Jay. After thay, 3 pieces got lost, then gave ⅓ of the new remaining to another friend Arsie. Another 2 pieces were lost, and then he gave half of the new remaining to his brother. At the end, Hehar has 19 lego blocks left. How many lego blocks did Hehar have originally?

The bus is late or my watch is fast.

In a traditional class with in-class tests, a question that is often asked after a class exam is, "What was the class average?" If that question is asked and the professor says that the class average was 80, what information do the students gain by knowing that? I want you to focus on both what the individual students knows about their own grade as well as what the students know about the class's grades on that exam.

In 2004 it surfaced in Reader's Digest presented as having happened to a teacher at an unnamed community college. Four students walked in halfway through American history test my father was giving at the local community college. "Sorry," they said, "we had a flat tire." An understanding man, Dad said that if they could answer just one question correctly, he would give them each an "A" for the exam. The students agreed. So my father handed each one a piece of paper, placed them in four separate comers and said, "Write down which tire was flat." Kurt Smith What is the probability that these four students would give identical answers if they hadn't had a flat tire? Why?

3. For this question, a = 100(n1 + n4) where n1 is the first digit of your student number and n4 is the fourth digit of your student number. For Halloween, Ambrosia collected a bag of candy. Ambrosia weighed her bag and found that there were a grams of candy in total. Ambrosia ate half her candy on the first day (the day after Halloween). Her father told her that if she continued to eat it at that rate the candy would only last one more day, so Ambrosia decided that each day she would only eat half of the weight of the candy left in the bag. She hypothesised that this would allow her to eat candy every day and never run out. Ambrosia decided it might be useful to use Mathematics to think about her remaining candy. She assigns t and W such that • t is a variable representing the number of days since Halloween. • W(t) represents the weight (in grams) of the remaining candy at the end of the day t. To understand what would be an appropriate mathematical model for this problem Ambrosia…

How to do question 22, 26, and 28?

I don't believe this answer is correct. Wouldn't it be "not enough information given to determine"? $12 is not the answer to this question.

Use the Law of Syllogism to make a conclusion.

3) A researcher wants to determine if exposure to subliminal (unconscious) images depicting older adults (80-95 years old) will influence the time it takes pedestrians to get across a busy intersection using a crosswalk. A random sample of sixty pedestrians are exposed to a set of subliminally presented positive images using a special electronic traffic signal before the signal prompts them to cross. From previous studies (using the same crosswalk and intersection), the experimenter knows that when no subliminal images are presented, the average time it takes the city's population to cross is 30.5 seconds, with a standard deviation = 5.5 seconds.