1.You will be assembling 4 expressions using order of operations. The trick to this project is that you’ll be
ou’ll be using the same 4 numbers written in the same order. The only thing that will change in each expression will be the tools you’ll use from your toolbox. The tools that you’ve learned so far for order of operations are parentheses, exponents, multiplying, dividing, adding, and subtracting.
Here are the four numbers. Keep them in this order:
18 2 4 3
Here are the tools in your toolbox:
The 2 and 3 represent exponents, so you are allowed to square or cube a number.
Listed below are the values you need to create.
5.Describe the parallels between cell differentiation, nutrient supply, and final cellular state for the majority of cells involved in the
he majority of cells involved in the epidermis, hair follicles/hair growth, and nail synthesis/nail growth.
How does the structure of spongy bone support the function of the red bone marrow contained within said bone?
How do bones, synovial fluid, tendons, ligaments, and articular cartilage work together to allow synovial joint movement? Please explicitly include the bone feature that allows for tendon/ligament attachment.
What is the difference in function between the vertebrae and the intervertebral disks in the vertebral column? Please discuss both the connective tissue subtype for each of these features and how the composition of their extracellular matrix contributes to function
Describe the extracellular matrix of bone to someone who isn't familiar with anatomy (this should be a general description of appearance/tactile nature, no specific mention of cells or function is needed)
How does hair contribute to the sensory role of the integumentary system? (A short explanation is all that is needed, no in-depth description of associated structures is required for full credit)
Back when he was 16, Jordan left eye orbit floor was fractured in a bizarre fencing accident, leaving a few fragments behind inside his skull. Assuming the floor was punctured from above in the maxillary bone and no additional bones were broken, where did the bone fragments end up in his skull? (This should be a particular space in the skull, not a separate bone where the fragments are embedded
The skeletal and integumentary systems rely heavily on collagen for function - describe one or more features other than ligaments that involve collagen, and how you would expect function to change in someone with EDS that affected the relevant subtype of collagen
6.We play a variation of Monty Hall: The contestant is presented with 3 curtains, behind each there's a prize with
a prize with probability p independently of the other curtains. The player chooses one curtain
(a) The game host tells the contestant there's a prize hiding behind at least one of the other curtains, and offers the player a chance to change his choice. Should he?
(b) The game host tells the player there's a prize hiding behind exactly one of the other curtains. Should the player change his choice? How does your answer depend on p
(c) How would your answer to section (b) change if there are n curtains in total?
(d) Bonus (4 points): How would your answer to section (a) change if there are 4 curtains in total?
7.Can domestic dogs understand human body cues such as leaning? The experimenter leaned toward one of two objects and recorded
two objects and recorded whether or not the dog being tested correctly chose the object indicated. A four-year-old male beagle named Augie participated in this study. He chose the correct object 42 out of 70 times when the experimenter leaned towards the correct object.
(a) (2 points) Let the parameter of interest, π, represent the probability that the long-run probability that Augie chooses correctly. Researches are interested to see if Augie understands human body cues (better than gussing).
Fill in the blanks for the null and alternative hypotheses.
H0 : Ha :
(b) (6 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 10%? (If you use an applet, please specify which applet you use, and the inputs.)
(c) (5 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 5%? (If you use an applet, please specify which applet you use, and the inputs.)
(d) (2 points) Are your conclusions from part (b) and (c) the same? If they are different, please provide an explanation.
(e) (5 points) Shown below is a dotplot from a simulation of 100 sample proportions under the assump- tion that the long-run probability that Augie chooses correct is 0.50. Based on this dotplot, would a 90% confidence interval for π contain the value 0.5? Explain your answer.
(f) (4 points) Compute the standard error of the sample proportion of times that Augie chose the object correctly.
(g) (5 points)
(h) (3 points) question?
(i) (4 points)
(j) (4 points) A.
Construct an approximate 95% confidence interval for π using the 2SD method. What is the margin of error of the confidence interval that you found in the previous
How would you interpret the confidence interval that you found in part (g)?
Which of the following is a correct interpretation of the 95% confidence level?
If Augie repeats this process many times, then about 95% of the intervals produced will capture the true proportion of times of choosing the correct objective.
About 95% times Augie chooses the correct objective.
If Augie repeats this process and constructs 20 intervals from separate independent sam- ples, we can expect about 19 of those intervals to contain the true proportion Augie chooses the correct objective.
(k) (4 points)
object 21 out of 35 times.
Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval.
The center of the confidence interval would . The width of the confidence interval would .
(l) (4 points) Suppose that we repeated the same study with Augie, and this time he chose the correct object 17 out of 35 times, and we also change the confidence level from 95% to 99%. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval.
Suppose that we repeated the same study with Augie, and this time he chose the correct
The center of the confidence interval would The width of the confidence interval would