The following data come from a study designed to investigate drinking problems among college students. In 1983, a group of students were asked whether they had ever driven an automobile while drinking. In 1987, after the legal drinking age was raised, a different group of college students were asked the same question.

Use the chi-square test to evaluate the null hypothesis that population proportions of students who drove while drinking are the same in the two calendar years. Use = 0.05. Show all hypothesis testing steps

. In order to determine how many hours per week freshmen college students watch television, a random sample of 25 students was selected. It was determined that the students in the sample spent an average of 19.5 hours with a sample standard deviation of 4.2 hours watching TV per week. Please answer the following questions:

(a) Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week.

(b) Assume that a sample of 36 students was selected (with the same mean and the sample standard deviation). Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week.

To estimate the mean height μ of male students on your campus, you will measure an SRS of students. Heights of people of the same sex and similar ages are close to Normal. You know from government data that the standard deviation of the heights of young men is about 2.8 inches. Suppose that (unknown to you) the mean height of all male students is 70 inches. (a) If you choose one student at random, what is the probability that he is between 67 and 72 inches tall? (b) You measure 25 students. What is the standard deviation of the sampling distribution of their average height x⎯⎯⎯? (c) What is the probability that the mean height of your sample is between 67 and 72 inches?

A college entrance exam company determined that a score of 22 on the mathematics portion of the exam suggests that a student is ready for​ college-level mathematics. To achieve this​ goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 22.5 on the college entrance exam with a standard deviation of 3.9.

Verify that the requirements to perform the test using the​ t-distribution are satisfied. Check all that apply.

A. The​ students' test scores were independent of one another.

B. The sample size is larger than 30.

C. The students were randomly sampled.

D. None of the requirements are satisfied.

2. For each of the following situations, write down

(a) the most appropriate graphical display for the data, and (b) identify a statistic that you might be interested in regarding the data.

(i) [2 marks] A survey given to 400 high school students asked the following question: "How many minutes do you study on a typical weeknight?".

(ii) [2 marks] Students in Statistics classes made up of 360 students were asked the main method of transportation to school. Students answers were: Canada Line/Skytrain, Cycling, Car, Bus, Walk.

(iii) [2 marks] The wait time in minutes before a caller gets to speak to a live agent at a Call Centre is collected for 50 telephone calls.

Consider a Math class with 15 female students and 14 male students.

a) How many different 5 people committees with exactly 3 females and 2 males are possible? Justify your answer

b) How many different 5 people committees with representation of both genders are there? Justify your answer

c) Suppose that two of the students refuse to work together. How many different 5 people committees are possible? Justify your answer

d) How many different ways to arrange them in a row with no two males together? Justify your answer

e) Show that there are at least 3 students with the same gender whose were born on the same day of the week.

Open-ended assessment (ex. Essay) requiring students to develop their own answers

Assessment following instruction to judge performance

Evaluation tool charting criteria and levels of performance

Evaluation tool resulting in a numerical score

Assessment comparing performance to an average standard level of performance derived from a group

Assessment administered with standard directions to many schools, groups, and individuals

Assessment designed to measure mastery of specific criteria

Evaluation of students' answer choices to individual test questions

Assessment requiring students to select the answer

Assessment prior to or during instruction used to diagnose and to shape instruction

Assessment requiring students to demonstrate ability to apply significant concepts and skills in an authentic format

A school boasts of its tutoring program offered to students.  Two samples of 71 students each are taken.  The first sample consists of students who have not taken part in the tutoring program while the second sample consists of students who have taken part in the tutoring program.  An aptitude test was given to both samples.  The first sample showed a mean score of 150 with a standard deviation of 20 while the second sample showed a mean score of 158 with a standard deviation of 23.  Using a significance level of 1%, can you conclude that the two samples are different?

Null Hypothesis: ____________________            Your Work:

Alternative Hypothesis: ____________________

Critical Value: ____________________

Test Statistic: ____________________

Your Decision: ____________________