Do A students tend to sit in a particular part of the classroom? To answer this question, the locations of the students who received A grades was recorded. The results were that 17 sat in the front, 9 sat in the middle, and 5 sat in the back of the classroom. Test the claim that the A students are not evenly distributed throughout the classroom.

What are the null and alternative hypotheses for this test?

Provide the chi-square test statistic.

What do you conclude regarding the null? Use a p-value to justify your decision.

In a sample of 1000 Yuba College students, it was found that they consumed on average 23 grams of sugar with a standard deviation of 4 grams and that 230 planned to transfer to Chico State.

a) (7 points) Can we conclude with 99% confidence that Yuba College students consume on average over 20 grams of sugar? Use the rejection region approach.
  
b) Can we conclude with 99% confidence that under 25% of Yuba College students plan to transfer to Chico State? Use the p-value approach.

A large group of students took a test in physics and the final grades have a mean of 70 and a standard deviation of 10. If we can approximate the distribution of theses grades by a normal distribution, what percent of students a. Score higher than an 80 but less than 90? b. Should pass the test (grades > 60)? c. Should fail the test (grades < 60)? d. If you randomly sample 30 students, what is the probability that their average test score is higher than a 73

7. The mean weight of students from a certain university is 70 kg with a standard deviation

of 17 kg. i.

ii. iii.

Assume that the weights of students in the university are normally distributed.

What is the probability that the weight of a randomly chosen student is greater than 100 kg?

What is the probability that the weight of a randomly chosen student is between 60 kg and 80 kg?

If you were to take a sample of 16 students, what is the probability that the mean of this sample is more than 73 kg?

In order to estimate the average combined SAT score for students at a particular high school, a random sample of 100 students was selected and the sample mean was determined to be 870 with a sample standard deviation of 12 points.

a) Determine the error (for a 95% confidence interval) involved when trying to use the data from the sample to estimate the population.

b) Use the information in part A to help construct a 95% confidence interval estimate for the average combined SAT score for all students at the high school.

You believe a higher percentage of students receive “passed advanced” in your school as opposed to a neighboring school. A random sample of 84 students from your school showed that 19 were pass advanced, and a random sample of 156 students from a neighboring school showed that 31 were pass advanced. If appropriate, test your hypothesis at the significance level .05.

A: Are the assumptions met?

B: State the hypotheses

C:What is the test statistic?

D: What is the p-value?

E:What is your conclusion?

A popular blog reports that 42% of college students use Twitter. The director of media relations at a large university thinks that the proportion may be different at her university. She polls a simple random sample of 200 students, and 101 of them report that they use Twitter. Can she conclude that the proportion of students at her university who use Twitter differs from 0.42? Answer by showing the five steps of signigicance test, allowing a Type I error rate of 0.05.

1. College students listened to either Mozart or silence, and then took an IQ test. Researchers hypothesize that, on average, students perform better on the IQ test after listening to Mozart than after listening to silence.

1. Define the parameter of interest both in words and using the appropriate statistical symbol.
2. State the null and alternative hypotheses.
3. If the p-value of the test is 0.678, can we conclude that there is no difference in IQ scores after listening to Mozart and after listening to silence, on average, in the population of college students? Explain.