We assume that our wages will increase as we gain experience and become more valuable to our employers. Wages also increase because of inflation. By examining a sample of employees at a given point in time, we can look at part of the picture. How does length of service (LOS) relate to wages? The data here (data238.dat) is the LOS in months and wages for 60 women who work in Indiana banks. Wages are yearly total income divided by the number of weeks worked. We have multiplied wages by a constant for reasons of confidentiality.

(a) Plot wages versus LOS. Consider the relationship and whether or not linear regression might be appropriate. (Do this on paper. Your instructor may ask you to turn in this graph.)

(b) Find the least-squares line. Summarize the significance test for the slope. What do you conclude?

(c) State carefully what the slope tells you about the relationship between wages and length of service.


(d) Give a 95% confidence interval for the slope.
(  ,  )

worker  wages   los     size
1       39.7268 99      Large
2       47.9395 108     Small
3       50.0018 36      Small
4       56.5056 37      Small
5       39.9768 99      Large
6       42.1023 51      Small
7       68.3662 149     Large
8       62.1544 118     Large
9       45.573  151     Large
10      50.4117 83      Small
11      38.4135 53      Large
12      62.4993 40      Small
13      60.3019 58      Small
14      37.6291 26      Large
15      38.3317 104     Large
16      44.7494 158     Large
17      72.8137 58      Large
18      52.989  83      Small
19      73.2051 49      Large
20      39.127  113     Large
21      44.2316 59      Large
22      69.7851 40      Small
23      49.472  26      Large
24      38.5196 77      Small
25      46.0804 69      Large
26      59.7664 118     Small
27      55.661  115     Small
28      58.2214 28      Large
29      57.7969 39      Large
30      46.9105 44      Large
31      38.4955 56      Small
32      58.9224 110     Large
33      53.8302 82      Large
34      43.2473 58      Small
35      50.2706 84      Large
36      50.6164 20      Large
37      49.6558 93      Large
38      78.595  66      Small
39      82.6382 92      Large
40      75.3109 40      Small
41      49.842  131     Small
42      50.6961 61      Small
43      72.7987 38      Large
44      45.2429 101     Small
45      67.4423 121     Large
46      53.2089 102     Small
47      55.595  28      Large
48      63.0091 45      Large
49      60.6773 41      Small
50      44.6185 20      Large
51      39.0958 91      Large
52      63.4885 200     Large
53      54.8688 149     Large
54      53.0166 26      Small
55      42.1089 95      Small
56      71.9169 50      Large
57      61.4371 62      Small
58      50.6912 16      Large
59      53.9664 23      Small
60      39.0164 15      Large

The manufacturer of hardness testing equipment uses​ steel-ball indenters to penetrate metal that is being tested.​ However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of​ indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made.​ Therefore, the manufacturer uses both indenters on each specimen and compares the hardness readings. Construct a​ 95% confidence interval to judge whether the two indenters result in different measurements. ​Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. LOADING... Click the icon to view the data table. Construct a​ 95% confidence interval to judge whether the two indenters result in different​ measurements, where the differences are computed as​ 'diamond minus steel​ ball'. The lower bound is nothing. The upper bound is nothing. ​(Round to the nearest tenth as​ needed.) State the appropriate conclusion. Choose the correct answer below. There is insufficient evidence to conclude that the two indenters produce different hardness readings. There is sufficient evidence to conclude that the two indenters produce different hardness readings.

Please explain your answer thoroughly because I want to understand it well and also please include a diagram if possible

Two objects which have mass: m1 = 10kg and m2 = 20kg. Both of them are moving at the velocity of: v1 = 20^i ms and v2 = 10^j ms and then the two objects collide completely inelastically. In what direction do the two objects go after the collision? After the collision, how much kinetic energy was lost?

Is Mr. B’s class has the better students who are good rope jumpers than Mrs. A’s class?

Please solve the problem and show the necessary tests and calculations

A manager at a local discount gym believes that less than 20% of gym members use the gym, at least 5 days a week. She randomly selects 100 gym members and tracks (using the electronic login system at the door) how many days they used the gym over the 2-week period. The following are the results:

Test the manager's claim at the 10% level of significance.

Standard Normal Distribution Table

a. Calculate the test statistic.

z=z=

Round to two decimal places if necessary

Enter 0 if normal approximation to the binomial cannot be used

b. Determine the critical value(s) for the hypothesis test.

• +

Round to two decimal places if necessary

Enter 0 if normal approximation to the binomial cannot be used

c. Conclude whether to reject the null hypothesis or not based on the test statistic.

Reject

Fail to Reject

Cannot Use Normal Approximation to Binomial

Please provide correct answers thanks

I have placed my answers in bold I just need to make sure these are right I have some with two answers because I'm just not sure which is correct. I just really want to do well on this last assignment any help is apperciated. Thank you!

Abby is a 20-year-old female college student. For at least the last 3 months, Abby has experienced ongoing anxiety and worry without a specific cause for these feelings. She has been restless and has noticed that her muscles feel tense and that these symptoms are beginning to affect her behavior in a way that is causing her to become distressed and that is preventing her from being able to complete her normal tasks. Abby correctly believed that it was normal to feel a little anxious sometimes; however, as the semester has progressed, she has not begun to feel significantly more comfortable.

On the recommendation of a friend, Abby visited the university’s counseling center and talked to Dr. Smith. Dr. Smith was warm and welcoming and, after discussing the limits of confidentiality with Abby and obtaining informed consent, encouraged Abby to describe her concerns. Dr. Smith listened attentively and asked Abby a few questions. They both agreed on an appointment date and time for the next week. Dr. Smith gave Abby a homework assignment to keep a written log of the negative thoughts or assumptions she has during the week and the circumstances under which those thoughts occurred. Abby was asked to bring the log with her to her next appointment.

Questions

Answer the following questions based on the scenario above. Answers should be short and concise.

Which DSM-5 disorder matches the symptoms Abby is reporting?

   According to DSM-5 Abby is suffering from General Anxiety Disorder

Which theoretical model does the homework assigned by Dr. Smith match?

  The homework assigned by Dr. Smith matches self- report analysis. or cognitive behavioral therapy

If Dr. Smith recommended medications only, which theoretical model would this match?

Medical Model would match if Dr Smith recommends medication only or motivational interview theory

If Dr. Smith recommended medications in addition to therapy, which theoretical model would this match?

Biopsychosocial model would match if Dr Smith recommends medication in addition to

therapy. or emotional dysregulation model

If Dr. Smith completed a free association exercise with Abby, which theoretical model would this match?

Psychodynamic theory would match if Dr Smith completes a free association exercise

with Abby

or psychoanalytical

If Dr. Smith used unconditional positive regard in the treatment, which theoretical model would this match?

Rogerian Theory would match if Dr Smith uses unconditional positive regard in the

treatment

or

Meta cognitive therapy

If instead of the symptoms listed in the scenario, Abby reported the following:

She had been in a car accident where she feared for her life. She had sleep disturbances including nightmares and became uncomfortable at the thought of driving, to the point that she avoided driving. She now believes she is a horrible driver, although her friends assure her this is not true. If these symptoms have lasted for longer than a month, which DSM-5 disorder label might match her symptoms?

PTSD

If instead of the symptoms listed in the scenario, Abby reported the following:

Every day for the past 2 weeks she felt down or sad for most of the day, had noticed an increase in her appetite, had been unable to sleep or concentrate, and felt tired. Additionally, this was interfering with her goals and tasks, and she reported that she had never felt manic or hypomanic. Which DSM-5 disorder label might match her symptoms?

Major Depressive Disorder

If instead of the symptoms listed in the scenario, Abby reported the following:

Every day for at least the past week she felt irritable with persistently increased energy and talkativeness, was easily distracted, did not seem to need sleep, and noticed that this behavior was interfering with her job. She reported that she has felt these symptoms before in her past and that she has also felt depressed sometimes. Which DSM-5 disorder label might match her symptoms?

Bi-polar Disorder

If instead of the symptoms listed in the scenario, Abby reported the following:

Throughout her life, she has always been suspicious of others. She reports that she really would like to have good relationships, but even as a child she knew that others, including family members, could not be trusted. She feels that she needs to stay on guard to protect herself. Which DSM-5 disorder label might match her symptoms?

Schizoid Personality Disorder

If instead of the symptoms listed in the scenario, Abby reported the following:

She began drinking when she was 18 and now needs to drink more or higher concentrations of alcohol to continue to function. She reports that she has lost her part-time job because of her drinking and is in danger of failing out of college. She was hospitalized last weekend due to experiencing delirium tremens during withdrawal, and the doctor explained to her that she could die from this disorder. Abby recognized that her drinking was interfering with her life, and she knew that she did not want to die. Which DSM-5 disorder label might match her symptoms?

Alcohol Withdrawal Syndrome

If instead of the symptoms listed in the scenario, Abby’s former roommate reported the following:

During a significant portion of the past month, Abby had talked to herself out loud and told her roommate that she had heard voices telling her to harm herself. Her roommate reported that Abby had told her that she occasionally stated that she was Joan of Arc and that the school mascot was stalking her. Her roommate asked to change rooms, and now that Abby was living alone, she did not appear to have bathed in more than a week. This was not typical behavior for Abby, as she had been known to be meticulous with her appearance and hygiene. The roommate expressed her concern for Abby and stated that although she had noticed some of these behaviors since she first met Abby more than 6 months ago, the behaviors seem to have increased over the past month. Which DSM-5 disorder label might match her symptoms?

As per DSM-5 Schizophrenia disorder matches the symptoms of Abby in this scenario

If Abby were 5 years old and, instead of the symptoms listed in the scenario, her symptoms included nightmares, physical complaints, recurrent separation-related fear, and a refusal to leave home, what DSM-5 disorder label might match her symptoms?

Separation anxiety disorder

If Abby were 67 years old, and instead of the symptoms listed in the scenario, had no major medical issues, had never been diagnosed with a neurocognitive disorder, and her symptoms included a substantial decline in the cognitive functioning areas of memory and attention that interfere with her independence, what DSM-5 disorder label might match her symptoms?

Dementia or other dementia-related disorders like Alzheimer's

Dr. Smith discussed the limits of confidentiality and required Abby to sign an informed consent form before treatment. These are examples of items used to protect the patient’s _Privacy and Rights___.

1. Record your lab data regarding photogate positions and times in the table below, converting the units as needed. Order the entries from shortest distance to longest.

Data Analysis

2. In this lab, you recorded the distance that a ball fell and the time it took for the ball to cover this distance. How can this information be used to find the acceleration due to gravity?

   suppose the distance traveled by the ball is s, and the time taken to fall is t,then its initial velocity is v=0. Using newton's second equation of motion, s=vt+ 1/2 gt2. so g= 2s/t2. by using this equation, we can find that the acceleration is due to gravity.

3. Calculate the distance Δythat the ball fell from the starting position to the photogate position and the square of the falling time Δt²for each entry in the table in question 1 and enter them into the table below. To calculate the distance, subtract the starting position (20 cm) from the photogate position.

4. Graph Δyvs. Δt²from the table in question 3 and use this graph to find g. To do so, use the graphing tool to plot the Δyvalues on the y-axis and the Δt²values on the x-axis. Add a linear fit line and save your graph to your portfolio. Find the slope of the line and relate it to gusing the relationship .

Conclusions

1. How well does your experimentally determined value of gagree with the theoretical value of 9.81? Calculate the percent error in your answer using the following relationship
   
2. The experimentally determined value for gis below the expected value of 9.81 m/s². Other than the precision of your measurements, is there any other factor that would cause your answer to be too low?

   Air friction can cause an experimentally determined gravity acceleration to be less than what it really is. For best precision, the drop needs to be in a vacuum. But your measurement seems to be some sort of error in measurement or calculations, assuming you are not too high above sea level on earth. Gravity also varies even then, dependent on where on earth you measure it.

3. An astronaut, who weighs 805 N on Earth, lands on a planet that has 3 times the mass and twice the radius of Earth. What is the astronaut’s weight on this new planet? Show your work.

   Wp=m3/6Ge= mge=mge x 3/4=3/6 x 805 Wp=603.75 N

NOTES:

-moved the photogates to 40 cm and 100 cm

the ball is released from 20 cm

top photogate time 0.05 secs

bottom photogate 0.35 secs

force plate timer 0.60 secs

-Photogates at 50 cm and 120 cm

released from 20 cm

top photogate time 0.05 sec

bottom photogate time 0.40 sec

force plate timer 0.60 sec

60 cm and 130 cm

top photogate time 0.15 sec

bottom photogate time 0.40 sec

force plate time 0.60 sec

80 cm and 140 cm

top photogate time 0.25 sec

bottom photogate time 0.4 sec

force plat etime 0.60 sec

90 cm and 160 cm

top photogate time 0.30 sec

bottom photogate 0.50 sec

force plate time 0.60 sec

110 cm and 190 cm

top photogate time 0.35 sec

bottom photogate time 0.55 sec

force plate time 0.60 sec

8. (20 pts)

a. RSA encryption. Let n = pq = (7)(17) = 119 and e = 5 define a (very modest) RSA public key encryption. Since 25 < 119 < 2525, we can only encode one letter (two digit representation) at a time. Use the function ? = ? mod ? to encode the word MATHY into a series of five numbers that are less than n.

b. To decrypt an RSA encrypted message, we need to find d, the multiplicative inverse of e modulo (p-1)(q-1). Use Euclidian algorithm and two-pass method to determine the Bezout coefficient of e for the RSA in Part a. above. Then write down the decryption function.

A 0 B 1 C 2 D 3 E 4 F 5 G 6 H 7 I 8 J 9 K 10 L 11 M 12 N 13 O 14 P 15 Q 16 R 17 S 18 T 19 U 20 V 21 W 22 X 23 Y 24 Z 25

Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following​ table:

​a) Calculate the forecasted registrations for years 2 through 12 using exponential​ smoothing, with a smoothing constant

​(α​)

of

0.30

and a starting forecast of

4.00

for year 1 ​(round your responses to one decimal

​place)​:

B.

The absolute deviation based on the forecast developed for each period using the exponential smoothing method​ (with a smoothing constant (α​) = 0.35 and a starting forecast of F1 = 4.00​) adds to   (round your response to two decimal​ places).

C.

Mean absolute deviation based on the forecast developed using the exponential smoothing method​ (with a smoothing constant (α​) = 0.35 and a starting forecast of F1 = 4.00​) is

registration ​(round your response to two decimal​ places).

An airline sells 140 tickets for a flight. Suppose the probability that any given ticket holder actually shows up for the flight is 95%. Find the probability that

a. No one shows up for the flight.

b. Everyone shows up for the flight.

c. Exactly 130 passengers show up.

d. At most 130 passengers show up.

e. At least 130 passengers show up.

f. Less than 130 passengers show up.

g. The number of passengers showing up is between 130 and 140, including 130 and 140.