The spread of a highly contagious virus in a high school can be described by the logistic function

g(x)=43/1+6.40e^−0.36x

where x is the number of days after the virus is identified in the school and​ g(x) is the total number of people who are infected by the virus.

​(a) How many students had the virus when it was first​ discovered?

​(b) Graph the function for

0≤x≤50.

​(c) Determine when the virus will infect

24 students.

​(d) According to this​ model, will the virus infection level off at any point in the​ future?

Scores were obtained from a hypothetical test A. Only 12 scores from a large group in which the distribution of scores is approximately normal are presented here.

75 61 93 84 11 50 36 42 57 76 46 70

Mean=58

SD=23

58.41667 23.00774

Using normal distribution to estimate approximately what percent of students in the group would score lower than 75? Approximately what percent of students in the group would have a score between 42 and 75?

Few years ago, a well known liberal arts college decided to lower tuitions to make education more affordable to its students. Very much to the surprise of the administration, the following year enrollment declined. Taking note, the college decided to raise tuition back to the previous level and use the extra money to provide students with laptops, tablets, etc, in effect maintaining the cost of college at the intended, lower level. The result: enrollment increased. Is this a violation of the law of demand? What could explain the observed changes in enrollment?

) Draw the Venn Diagram. It must be very clear. We surveyed 120 students. Of the 120 students surveyed:

49 have cellphones; 46 have mac laptop; 39 have ibm compatible laptop 21 have cell phone, mac laptop; 22 have ibm laptop and mac laptop; 24 have cell phone and ibm laptop 16 have cell phone and a mac laptop and an ibm compatible laptop.

And find out how many do not have any of the above

In a class survey, students are asked how many hours they sleep per night. In the random sample of 18 students, the (sample) mean is 6.8 hours with a (sample) standard deviation of 1.9 hours. We wish to know if this shows that the class’s student population on average has not gotten at least the recommended 8 hours of sleep at the α = .1 level. The distribution of sleep for this population follows a normal distribution.

c) Please use R to compute the test statistic and report the answer rounded to 3 decimal places here.

Normal distribution of Statistics course in Mechanical Engineering Department According to the grade point average is 50 and standard deviation is 3. Since the passing grade is 45:

a) What is the percentage of probability of Mechanical Engineering students from the course?

b) What is the probability that Mechanical Engineering students will pass the course?

c) What is the grade of the student who gets a grade better than 90% of the class from the statistics course?

d) What is the grade of the student who gets a grade worse than 25% of the class from the statistics course?

.Finance course grade information regarding male and female students of a large university is shown below (?_"and ?_!unknown) and assumed unequal).

1. Test whether or not the average grade of females is significantly greater than that of males at ⍺=0,05 % significance level?
2. Develop 90 % confidence interval estimate of the difference between grade of the female and male students.

Not: You have to draw the table to see which area that you have to calculate

1) Suppose you have the following data, which represents the area codes of 50 randomly selected students from endicott. Area code: 617,508,857 other. # of students 25,10,10,5 a) is the area code variable quantitative or categorical? Explain your reasoning. b) Create a bar graph to represent the area code data, using percents as the y-axis. Draw a sketch below, or attach a labeled graph from excel to the end of this exam. Make sure to label your graphs' axes and title appropriately.

A sample of 10 students was selected from a large statistics course. The grades of the 10 students on their test are shown below: 94 61 96 66 92 68 75 85 84 78 3a. Create a histogram, with the first class being 60-69. (3 pts) 3b. Calculate the following for the above data. Please only report the results. (8 pts) Mean = _____ Median = _____ Mode = _____ Range = ____ 3c. Calculate the standard deviation for the above data, with the calculation procedures reported. (3 pts)