Construct a 95% confidence interval by hand for what proportion of students are vegan, if you took a random sample of 100 students and 3 were vegan.

Why do some early childhood students have difficulty with transitions in the classroom? Identify and describe two strategies specific to students effectively transitioning.

After receiving their mid-term grades, four students formed a study group. On writing assignments they have turned in since forming the study group, the students’ responses are “too” similar, almost to the point of being exact copies. Recognizing these similarities might have resulted from the common wording the students use while studying, their teacher cannot decide whether to forget the situation or accuse the students of academic dishonesty. Expressed in words, not symbols, what are the null and alternative hypotheses in this situation? Explain why you chose these as the hypotheses and What you would to test you hypotheses?

The average time students need to finish a particular test is 72 minutes with a standard deviation of 12 minutes. (Assume that these times are normally distributed.)

1. What is the probability that a randomly selected student will finish the exam in more than 75 minutes?
2. If the professor wants 95% of students to have sufficient time to finish the test, how much time should she give them?
3. What is the probability that a group of 20 students will take on average more than 75 minutes to finish the exam?
4. What is the probability that in a group of 5 students, exactly 3 will finish the exam in more than 75 minutes?

(20) 2.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?

Dan believes the success rate of students who take a morning class is higher than students who take an afternoon class in the same subject. In a morning class of 34 students, 30 have passing grades (C or better). In an afternoon class of 25 students, 18 have passing grades.

What is H₀:

What is Ha:

What is the p-value? Round answer to three decimal places (i.e. 0.123)? Answer

At a level of significance (alpha) of 0.05, what is your decision?

reject the null hypothesis

accept the null hypothesis

fail to reject the null hypothesis

Do students in early morning classes do more poorly than students in later classes? During one semester of Quan 2010, exam scores were averaged for one section of 28 students who met at 8:00am, and for another section of 37 students who met at 10:50am. The earlier section had a mean score of 80.6 with a variance of 103, while the later section had a mean score of 81.5 with a variance of 138.   

At a significance level of 0.10 can we conclude that 8:00am sections score lower than sections that meet at 10:50am?

2. Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. The students kept track of many lifestyle variables including how many hours of sleep were obtained on a typical day. Researchers found that visually impaired students averaged 9.87 hours of sleep, with a standard deviation of 1.1 hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed. a. What is the probability that a visually impaired student gets less than 6.1 hours of sleep? b. What is the probability that a visually impaired student gets between 6.5 and 7.89 hours of sleep?