Sampling Distributions and the Central Limit Theorem:

The National Survey of Student Engagement asks college students questions about the quality of their education. In 2018, NSSE reported the following result about college freshman:

During the current school year, about how often have you used numerical information to examine a real-world problem or issue (unemployment, climate change, public health, etc.)?

Mean: 2.29 SD: .92

These results were based on a survey of over 500,000 students from 725 institutions. Suppose we want to see how Coker College students compare to the national results by taking independent, random samples of 35 students each. Find the mean μ_x ̅ and standard deviation σ_x ̅ of this sampling distribution. (Hint: Use the Central Limit Theorem)

Find the probability that the sample mean of a random sample of 35 Coker College students for number of times using numerical information to examine real world issues is more than 3.

In this class, we've used numerical data to examine crime, genetic traits of fungus, political polling, and many other real-world topics. Would it be appropriate to say our statistics class sample of 19 students is unusual compared to the national average? Why or why not?

When you cough, your windpipe contracts. The speed, v(r), with which you expel air through your windpipe, depends in the radius, r, of your windpipe. If a is normal (rest) radius of your windpipe, then for 0<r<a. The speed is given by: v(r)=k(a-r)r^2 where k is a positive constant. For an individual, assume a to be constant. a. Find all critical points of v(r). b. what value of r minimizes the speed? Explain briefly using the second derivative test. c. What value of r maximizes the speed, and what is this maximum speed? explain briefly using the first derivative test. d. Consider two individuals, Jay and Dee. Jay's value of a is larger than Dee's value of a. How would Jay's maximum windpipe velocity compare to that of Dee? Explain briefly.

Jack is riding his bicycle from home to LeConte College with a velocity given by v(t)= -t^4 + 4-t^3 - 500t^2 +2000t in feet away from his house per minute and where t is in minutes. If it takes jack 20 minutes to get to LeConte College, find the following:

a.) Estimation of S (integral) upper 20, lower 0: v(t)dt using left-hand sums with n=2 subdivisions. Why is this a bad estimate?

b.)Estimation of S (integral) upper 20, lower 0, v(t)dt using right hand sums with n=5 subdivisions. What does this number represent an estimate of?

c.) Find the exact distance Jack traveled by integration (assume jack is 0 feet from his house at time = 0)(include units).

(8pts) A hot air balloon moves up at constant speed v = 20.0 m/s. When the balloon is 20.0 meter above the ground, a cup of lemonade falls out of the balloon. And the balloon continues to move up at a constant speed v = 20.0 m/s. Ignore the air resistance.(a)Describe the motion of the lemonade cup as relative to the ground.(b)Describe the motion of the lemonade cup as relative to the balloon. (c)On the same diagram,plot thev-t graph of the balloon and the v-t diagram of the lemonade cup as relative to the ground. Choose upward as the positive direction, and t=0 when the cup starts to fall out of the balloon.(d)How long does it take for the cup to fall tothe ground?(bonus 1pt) What is the distance between the cup and balloon 1 seconds after the cupis dropped?

design, simulate, and implement a 12W Multi Voltage AC/DC Adapter Switching Power Supply, Suitable for 3 V to 12 V Device.

Design Specifications:

(a) Design and simulate a regulated power supply using bridge rectifier, capacitors, and Zener diode (no Integrated Circuit). The source voltage is 110±10 Vrms, 60 Hz  frequency. The output voltage is as follows (±5%): 3 V and 7.5V

(b) The rating of the adapter will be 12W and 5% regulation. To protect your circuit include surge protection and fuse in the circuit design.

(c) Total number of element should be less than 12 for reducing environmental impact.

(d) Total Cost of the components of your design should be less than $10

please do it on a breadboard as well as on the multisim. provide pictures of the work done please. thank you.

Today's health care environment gives nurses many reasons to be conflicted. Genetic testing, abortion, and end of life care are just some of the areas in which nurses may face ethical dilemmas. Consider how you feel about the following issues:

v Respecting the wishes of a suffering client that he is permitted to die with dignity,

v Respecting the health surrogate's wishes regarding termination of life support,

v Or even observing another nurse take two tablets of oxycodone as ordered but keeping one for herself.

Then give an example of an ethical dilemma you may have confronted in your own clinical experience or workplace. How did you come to the decision you made? What feelings did you experience while coming to that choice? (If you have not yet faced an ethical dilemma, research one and comment on it, answering the same questions.)

Electrochemistry - Standart Potential

1. For the voltaic cell shown, calculate the E^o_cell.

Hg(l), Hg₂Cl₂(s) l Cl^-(aq) ll Cu²⁺(aq), Cu⁺(aq) l Pt(s)

2. Calculate the standard emf for a voltaic cell whose cell reaction is represented by the balanced equation.

Pb(s) + Zn²⁺(aq) → Pb²⁺(aq) + Zn(s)

3. For the galvanic cell shown, calculate the E^o.

Au(s) l AuCl₄^-(aq), Cl^-(aq) ll F₂(g) l F^-(aq) l Pt(s)