Each of the three new forms and the currently used form were filled out by 30 different people. The amount of time (in minutes) taken by each person to complete the task was recorded.

A) If the filling time of all IRS forms is distributed normally with mean of 102 and standard deviation of 8, what is the probability that a randomly selected person could do the tax forms in less than 90 minutes?

B) Referring to problem “A” above, If a randomly selected person is in the top 5 percent of the fastest people who do the tax forms, at least how many minutes should he spent to fill out the form?

Assume that :

The first column is the weight gain of the people in the quarantine in the first week in kilogram (WG) .

   The second column is describing the gender whether it was male or female (G) .

Q: Is there any statistical evidence that the gaining weight for the females is higher than the gaining weight for the males ? Show your work .  

Century-Fox Corporation's employees are eligible for postretirement health care benefits after both being employed at the end of the year in which age 60 is attained and having worked 20 years. Jason Snyder was hired at the end of 1998 by Century-Fox at age 33 and is expected to retire at the end of 2026 (age 61). His retirement is expected to span five years (unrealistically short in order to simplify calculations). The company's actuary has estimated the net cost of retiree benefits in each retirement year as shown below. The discount rate is 5%. The plan is not prefunded. Assume costs are incurred at the end of each year. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Year Expected Age Net Cost 2027 62 $ 4,100 2028 63 4,500 2029 64 2,400 2030 65 2,600 2031 66 2,900

Required:

2. Calculate the present value of the net benefits as of the expected retirement date.

3. With respect to Snyder, what is the company's expected postretirement benefit obligation at the end of 2021?

4. With respect to Snyder, what is the company's accumulated postretirement benefit obligation at the end of 2021?

5. With respect to Snyder, what is the company's accumulated postretirement benefit obligation at the end of 2022?

6. What is the service cost to be included in 2022 postretirement benefit expense?

7. What is the interest cost to be included in 2022 postretirement benefit expense?

8. Show how the APBO changed during 2022 by reconciling the beginning and ending balances.

Construct a wave packet with 4 different frequency and wavelength (according to 1:2:4:8 relation) and also test this wave packets if it fulfil schrödinger equation? What role does the form of the wave package play in the Heisenberg Uncertainity principle?

2 Applications of Social Psych in Counseling/Clinical Issues GHA#4 Week 4 Name: ____________________________________ Date: ______________________ #1: Pick ONE of the compare/contrast questions and answer in 1-2 detailed paragraphs with supporting answers and citations. CLO1: Analyze: Students will draw connections among ideas by comparing and contrasting the scientific goals, definitions, methods, and concepts while demonstrating their skills in written communication, critical thinking, and information literacy. Compare and contrast these concepts: the social causes of anxiety and depression Compare and contrast these concepts: social phobia and loneliness Compare and contrast these concepts: anticipatory embarrassment and negative outcome expectations #2: Which theory discussed in the chapter was the best theory? Explain your answer with examples. You can also bring in additional background information. CLO2: Comprehend/Evaluate: Students will understand the value of theory and justify their decision for selecting the best social psychological theory covered across 10 application areas based on a set of criteria while demonstrating their skills in written communication, critical thinking, and information literacy. Review this link to help frame your decision: https://www.coursehero.com/file/p4l6k1r/5-criteria-of-evaluating-theories-Scope-Testability-Parsimony-Utility-Heurism-o/ #3 Cognitive biases and distortions: Speedy thinking and decision-making can be great but can also lead us into flawed thinking full of bias. Provide real examples of 2 biases and 2 distortions. CLO3: Apply: The student will use information in new situations while demonstrating their skills in written communication, critical thinking, and information literacy. Select two biases and provide a real-life situation or example that illustrates each understanding of each one. http://mentalfloss.com/article/68705/20-cognitive-biases-affect-your-decisions Select two distortions and provide a real-life situation or example: https://psychcentral.com/lib/15-common-cognitive-distortions/ #4. From Self-Awareness to Action: Diluting the distortions and biases. CLO4: Create: Students will produce new works or ideas by formulating practical solutions to social problems while demonstrating their skills in written communication, critical thinking, and information literacy. How would you address, limit, or combat the biases and distortions you discussed in #3. What safeguards, questions, and self-talk would you use to dilute the impact of these biases and distortions

Consider the data.

The estimated regression equation for these data is  ŷ = 0.60 + 2.60x.

(a)Compute SSE, SST, and SSR using equations SSE = Σ(y_i − ŷ_i)², SST = Σ(y_i − y)², and SSR = Σ(ŷ_i − y)².

SSE=SST=SSR=

(b) Compute the coefficient of determination r².

r² =

Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)

A) The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line.

B) The least squares line provided a good fit as a small proportion of the variability in y has been explained by the least squares line.   

C) The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line.

D) The least squares line did not provide a good fit as a large proportion of the variability in y has been explained by the least squares line.

(c)Compute the sample correlation coefficient. (Round your answer to three decimal places.)

Consider the data.

(a)

Compute the mean square error using equation  s² = MSE =

 . (Round your answer to two decimal places.)

(b)

Compute the standard error of the estimate using equation s =

=

 . (Round your answer to three decimal places.)

(c)

Compute the estimated standard deviation of

b₁

using equation s_b1 =

. (Round your answer to three decimal places.)

(d)

Use the t test to test the following hypotheses (α = 0.05):

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. We cannot conclude that the relationship between x and y is significant. Reject H₀. We conclude that the relationship between x and y is significant.      Do not reject H₀. We cannot conclude that the relationship between x and y is significant. Do not reject H₀. We conclude that the relationship between x and y is significant.

(e)

Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.

Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.)

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not reject H₀. We cannot conclude that the relationship between x and y is significant. Reject H₀. We conclude that the relationship between x and y is significant.      Do not reject H₀. We conclude that the relationship between x and y is significant.Reject H₀. We cannot conclude that the relationship between x and y is significant.

The adjusted trial balance of Marshall, Inc., follows: LO 4 A1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 A C B Account DebitC redit (Amounts in thousands) Marshall, Inc. Adjusted Trial Balance December 31, 2016 Cash Accounts receivable Inventories Prepaid expenses Property, plant, and equipment Accumulated depreciation—property, plant, and equipment Other assets Accounts payable Income tax payable Other liabilities Common stock Retained earnings (beginning, December 31, 2015) Dividend Sales revenue Cost of goods sold Selling, administrative, and general expenses Income tax expense Total $ 4,300 1,400 2,400 1,600 16,700 9,300 1,500 25,500 10,500 2,200 $ 75,400 $ 2,400 7,500 800 2,700 14,500 5,100 42,400 $ 75,400 Requirement 1. Prepare Marshall, Inc.’s, single-step income statement and statement of retained earnings for the year ended December 31, 2016, and its balance sheet on that date. Draw the arrows linking the three statements.