In each of the following exercises, formulate an appropriate null hypothesis and perform a test of that null hypothesis at the 5% and 1% significance levels. Use a one-sided or two-sided test as appropriate.

10. An instructor administers a 2-minute sit-up test to a class of 10 students, obtaining the following scores.
X : 55,45,48,62,58,60,42,44,53,55
The instructor expects students to have an average score of no more than 45 on the sit-up test. Part (a) Assume that 10 is the standard deviation of the sit-up test scores of all the coach’s past and present players.

About 42.3% of Californians speak a language other than English at home. Using your class as the sample, conduct a hypothesis test to determine if the percent of students at school that speak a language other than English at home is different from 42.3%. 23 out of 34 students in the sample speak a language other than English at home

a. State the distribution to use for the test. If t, include the degrees of freedom. If normal, include the mean and standard deviation.

b. p-value = ______________

c. reject the null hypothesis or do not reject the null hypothesis

Of 180 students in a massive group, 135 are scholarship holders, 146 dedicate part of their time to work; and 114 are scholarship holders and dedicate part of their time to work. If a student is selected at random, what is the probability that: a) The chosen student is awarded a scholarship or dedicates part of his time to work b) The selected student is not awarded a scholarship and does not spend part of his time working c) A sample of 6 students was chosen, which is the probability that the sample will have at least 5 scholars. (Here only consider two groups, the scholars and the non-scholars)

Simulation and Expected Values: Yale Law School says 74% of their students pass the bar exam on their first try.

To simulate passing students, we could assign the random digits as:

00 to 49 = pass first try, 50 to 99 = fail first try

0 to 7 = pass first try, 8 to 9 = fail first try

00 to 73 = pass first try, 74 to 99 = fail first try

0 to 4 = pass first try, 5 to 9 = fail first try

The outcomes for this experiment are __________________, with a probability of ________________, and __________________, with a probability of __________________.

. Average coffee consumption among graduate students is commonly known to be 3.89 cups per day. A graduate student took a sample of 10 fellow graduate students in her statistics class, and in the sample produced a mean of 4.02 cups per day and a standard deviation of .19. Because of this, she believes that the average is actually greater than what is commonly thought (3.89 cups per day). Do we believe the graduate student’s claim or the common belief? Use a significance level of .01. Show all the steps (4 steps)

You are in charge of pricing tickets for an upcoming event at the outdoor amphitheater where all seating is by general admission(no assigned seats). Demand for the event can be segmented into students and non-students. Student demand is Qst=10,000-100P. Non- student demand can be expressed as Qns=5000-10P. Your marginal cost per attendee is $10 and is constant. The capacity of the amphitheater is 5000. Since you can check for a student ID, you can charge each group a different price. What price do you charge each group?

Students of a large university spend an average of $6 a day on lunch. The standard deviation of the expenditure is $2. A simple random sample of 81 students is taken. 1. What is the probability that the sample mean will be at least $5.25? 2. What is the probability that the sample mean will be at least $6.50? 3. What is the range of money spent by people who fall within one standard deviation of the mean? 4. Kelsey spent $12 on her lunch today. Explain to her, in terms of the normal distribution curve and standard deviation, why her purchase is not very typical.

What is the answer to this?

(1) A President of a California State University campus banned any criticism to human rights in Palestine ,,, Professors and students have been banned from exposing Zionist crimes in Palestine. Professors and students went to court to complain about illegality of such a decision. Their lawyer is soliciting your advise to show that President of University has failed as a leader –administratively.

and then this question...

(2) MoH (Ministry of Health) hired you as a consultant for Health Management in Ministry. Based on your managerial experience, what would be your recommendations to health system in State of Kuwait?

2. A professor was curious as to whether the students in a very large class she was teaching, who turned in their tests first, scored differently from the class mean on the test. The μ on the test was 75 with σ = 10; the scores were approximately normally distributed. The mean score for the first 20 tests was 78. Did the students turning in their tests first score significantly different from the larger mean at the .05 level?

   a) Use the four steps of hypothesis testing b) Illustrate the distributions involved

   c) Calculate the 95% confidence interval (*even if ns result)

While discussing the increased use of technology to gather, store, and access healthcare information, senior nursing students discuss the importance of preventing data security breaches and the implication of such breaches on nurses professionally. The class is divided into groups to research and prepare information on various relevant topics to present to the entire class. A group is assigned to create a summary of information related to the ethical aspects of electronic data collection to the profession of nursing. What information will be included? A group of students is assigned to research information regarding a healthcare organizational risk assessment. What will that group focus upon?.