Randomly selected students participated in an experiment to test their ability to determine when one minute​ (or sixty​ seconds) has passed. Forty students yielded a sample mean of 57.5 seconds. Assuming that sigmaequals9.2 ​seconds, construct and interpret a 95​% confidence interval estimate of the population mean of all students. hat is the 95​% confidence interval for the population mean mu​? Based on the​ result, is it likely that the​ students' estimates have a mean that is reasonably close to sixty​ seconds? A. ​Yes, because the confidence interval does not include sixty seconds. B. Yes​, because the confidence interval includes sixty seconds. C. ​No, because the confidence interval includes sixty seconds. D. No​, because the confidence interval does not include sixty seconds.

1: A survey questioned 1,000 high school students. The survey revealed that 46% are honor roll students. Of those who are honor roll students, 45% play sports in school and 21% of those that are not honor roll students, don't play sports. What is the probability that a high school student selected at random plays sports in school?

2: One of two small classrooms is chosen at random with equally likely probability, and then a student is chosen at random from the chosen classroom. Classroom #1 has 5 boys and 11 girls. Classroom #2 has 14 boys and 9 girls. What is the probability that Classroom #2 was chosen at random, given that a girl was chosen? Your answers should be rounded to 4 digits after the decimal.

There was a certain class in which students had completed the work load assigned was very heavy. The instructor knew that the amount learned was directly related to that work load. The instructor surveyed 40 former students and asked if they would have been willing to actually learn less if that had meant less work. The instructor hoped that the ultimate goal of a student was to learn and so that less than 25 % of students would agree to learn less. The results of the survey showed 7 students would have been willing to actually learn less if that had meant less wor.

Is there sufficient evidence at the alpha = .05 level of significance to support the instructors hope and what do you conclude? What is the p-value of your test statistic.

A researcher hypothesizes that the percentage of Ball State University students who sleep 8 or more hours per night is lower than the general population of adults. Previous research has found that 40% of adults sleep 8 hours or more per night. In a recent survey of Ball State students, the researcher found that 38 students reported sleeping 8 hours or more and 82 students reported sleeping less than 8 hours. Do the Ball State student sleep habits differ from those expected of the general population of adults?

a. Using Excel, conduct a Chi-square goodness of fit test on these data.

b. Report the results in a textbox. Be sure to provide both a statistical and research conclusion.

A teacher gives the following assignment to 200 students: Check the local newspaper every morning for a week and count how many times the word “gun” is mentioned on the “local news” pages. At the end of the week, the students report their totals. The mean result is 85, with a standard deviation of 8. The distribution of scores is normal. a. How many students would be expected to count fewer than 70 cases? b. How many students would be expected to count between 80 and 90 cases? c. Karen is a notoriously lazy student. She reports a total of 110 cases at the end of the week. The professor tells her that he is convinced she has not done the assignment, but has simply made up the number. Are his suspicions justified?

Exam grades across all sections of introductory statistics at a large university are approximately normally distributed with a mean of 72 and a standard deviation of 11. Use the normal distribution to answer the following questions.

(a) What percent of students scored above an 88 ?Round your answer to one decimal place.

(b) What percent of students scored below a 59 ?Round your answer to one decimal place.

(c) If the lowest 7%of students will be required to attend peer tutoring sessions, what grade is the cutoff for being required to attend these sessions?Round your answer to one decimal place.

(d) If the highest 9%of students will be given a grade of A, what is the cutoff to get an A? Round your answer to one decimal place.

Should high school athletes have to submit to random drug testing? What about students who participate in academic decathalons or cheerleading? There have been increased efforts to have all high school students complete drug testing, regardless of whether or not they play a sport. Do you think all high school students should be tested for illegal drug use? In addition do you think random drug testing will decrease illicit drug use in high school students? Why or why not? Be sure to support your position with information from your textbook, the article below, and other scholarly sources.

https://post.blackboard.com/bbcswebdav/pid-4295785-dt-content-rid-32063720_1/courses/PSY307.301086045304/Random_Drug_Testing.pdf

Step 1: Respond to the following: Planning and Executing Chapter 2 discusses the various project management processes. In your initial discussion post, address the following:

 What does research suggest about the amount of time that should be spent on the initiating and planning processes?

 Do you think that the suggested amount of time is realistic? Why or why not?

 Why do you think spending more time on planning helps reduce time spent on executing?

Step 2: Read other students' posts and respond to at least three other students. Use any personal experience if appropriate to help support or debate other students' posts. If differences of opinion occur, students should debate the issues and provide examples to support opinions.

A study of identity theft looked at how well consumers protect themselves from this increasingly prevalent crime. The behaviors of 64 college students were compared with the behaviors of 56 nonstudents. One of the questions was "When asked to create a password, I have used either my mother's maiden name, or my pet's name, or my birth date, or the last four digits of my social security number, or a series of consecutive numbers." For the students, 25 agreed with this statement while 27 of the nonstudents agreed.(a) Display the data in a two-way table.

Perform the chi-square test. (Round your χ² to three decimal places and round your P-value to four decimal places.)

Summarize the results.

A. We cannot conclude at the 5% level that students and nonstudents differ in the response to this question.

B. We can conclude at the 5% level that students and nonstudents differ in the response to this question.    

(b) Reanalyze the data using the methods for comparing two proportions that we studied in the previous chapter. Compare the results and verify that the chi-square statistic is the square of the z statistic. (Test students who agreed minus nonstudents who agreed. Round your z to two decimal places and round your P-value to four decimal places.)

(c) The students in this study were junior and senior college students from two sections of a course in Internet marketing at a large northeastern university. The nonstudents were a group of individuals who were recruited to attend commercial focus groups on the West Coast conducted by a lifestyle marketing organization. Discuss how the method of selecting the subjects in this study relates to the conclusions that can be drawn from it.

Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared test per se, perhaps, it is about what a statistical analysis (hypothesis testing in this case) can tell us and what it cannot) Background - The Scholarship Committee comprises 3 faculty members, one of whom is Professor X. Professor X also wrote recommendation letter for 5 students who took his class earlier and four of them were awarded scholarships (out of a total of six scholarships awarded to graduate students). A student who applied but was not awarded a scholarship accused Professor X of favoritism, claiming that he/she was denied a scholarship despite having a very high GPA because he/she did not take class under Professor X and had declined him/her a recommendation letter. The student then did following statistical analysis as an evidence of favoritism . The student runs a Chisq-test and his result shows not independent between students who took class under Professor X and Students got scholarship. H0: students who get scholarship is independent with whether they have taken class under Professor X H1: not independent # Let total number of students who applied for scholarship is 70, and only 5 people get the scholarship, conservatively estimate only 3 out of 5 students took Class with ProfessorX, the other two selected did not take Class with ProfessorX # chisquare test shows the p-value <0.05, thus we reject H0 at .05 level and conclude students who got scholarship was affected by whether they have class under Professor X #student in addition tests , how about the total applicants were 60, or 80? and find out either case we reject H0, they are not independent.