PSY 312 Power Analysis Homework

      h²     .02   .04 .06 .09 .12 .16   .20   .25   .30   .36   .42   .49

power

.30     93    53    34   24   18   14    11     9     8     7     6     5

.40      132    74    47   33   24   19    15    12    10     8     7     6

.50      170    95    60   42   30   23    18    14    12     9     8     7

.60      257 143    90   62   45   34    24    20    16    13    11     9

.70      300 167 105   72   52   39    29    23    18    15    12    10

.80      343 191 120   82   59   44    33    26    20    16    13    11

.90      459 255 160   109   78   58    44    34    27    21    17    13

all values are for a = .05

Above is a partial power table. Use that table to solve the following problems. Where math is required, show your work.

1. I am planning a study to examine the inter-relationships between four variables: preparedness (yes, no), practice (in minutes), handedness (left, right), and performance (% correct).

a) For preparedness and practice, I expect a ?² of about .09.

What sample size should I use to have power = .70?

b) For handedness and practice I expect a ?²of about .42.

What sample size should I use if I only want to risk a 30% chance of a Type II error?

c) For preparedness and performance I expect a ?²of about .20.

What sample size should I use to have a 70% chance of correctly rejecting H₀?    

d) Which of these three sample sizes do you suggest I use for the study? Explain your reasoning.

To begin, have each person in the group try this puzzle: Take your seven-digit phone number and enter the first three digits on your calculator. Multiply this number by 80. Add 1 to the product. Multiply this sum by 250. Add the last four digits of your phone number to this result. Add the last four digits of your phone number again. Divide this value by 2. Subtract 125 from this number. The result should be your seven-digit phone number. Are you surprised?
In this activity we investigate the mathematics behind the puzzle. We begin by letting each digit of your phone number be represented by a different variable:
Phone number: abc-defg
1. Write down the variable expression representing the first three digits.
2. Write down an expression representing this number multiplied by 80.
3. Add 1 to the expression from step 2 and write the result.
4. Now take the expression from step 3 and multiply the entire sum by 250. Make sure you include parentheses where necessary.
5. Write the variable expression representing the last four digits of your phone number.
6. Add the last four digits of the phone number to the expression from step 4.

7. Add the last four digits again.
8. At this point, take time to simplify your expression. You may need to use the distributive property and collect like terms.
9. Now take the simplified algebraic expression from step 8 and divide the entire mathematical statement by 2.
10. Subtract 125 from your answer in step 9.
11. The result should be your seven-digit phone number. Discuss in your group how the algebraic expression in Discuss in your group how the algebraic expression in step 10 properly places the digits in their respective positions to form a phone number.

Consider the three stocks in the following table. P_t represents price at time t, and Q_t represents shares outstanding at time t. Stock C splits two-for-one in the last period.

Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round intermediate calculations. Round your answers to 2 decimal places.)

a. A market value–weighted index

b. An equally weighted index

What is the difference between a paint and a coating?

2. What is a binder?   What are the categories of coatings? What is a varnish?

What is a primer? What is a clearcoat?

3. How should paint be collected if it is fragile or fragmentargy?

4. What does a microtome do?

5. What is a problem with solubility testing of paints?

6. What types of instrumentation are routinely used to analyze paints?

7. What is a color system? Name two.

8. What is a batch lot?

9. How does the age of a vehicle affect the significance of a paint match? Why?

10.   How would you go about finding out how many 2009 cares are registered to drivers?

1. The data set on sheet #1 gives data on GPA category and number of hours studied. Construct comparative box plots of the data first GPA category. Then conduct two-sample t-test on the data for whether GPA category influences the number of hours studied. Be prepared to explain the results of the test and the meaning of the boxplots and how they relate to each other. Then redo the analysis by replacing the ordinal GPA category with a numerical dummy variable with Low=0, High=1. Run a regression analysis on how study hours (x) influence GPA category (y). Include the scatterplot. Compare the results of the two tests. Be able to state and null and alternative hypotheses

M & M LLC is producing different range of chocolates mainly including fruits & nuts, caramel smooth, dark fantasy.

Assume you are senior accountant of M & M LLC and comparing between both the methods of costing absorption and ABC system on the basis of following information:

Prime Cost Details: -

RO 0.150 per unit on materials and RO 0.120 per unit on direct labour paid for fruits & nuts.

RO 0.120 per unit materials and RO 0.100 per unit on direct labour paid for caramel smooth.

RO 0.180 per unit on materials and RO 0.130 per unit on direct labour paid for dark fantasy.

Production detail: -

In the month of June Company is expected to produce 200,000 units of fruits & nuts; 150,000 units of caramel smooth; 100,000 units of dark fantasy.

Overheads, Activity and Cost Driver Details: -

The labour hour per units 0.02 for fruits & nuts; 0.010 for caramel smooth; and 0.015 for dark fantasy.

The production cost incurred RO 3,600. Machines runs 700 hours for fruits & nuts; 500 hours for caramel smooth; 400 hours for dark fantasy;

The machine set-up cost incurred RO 2,800. The production runs 120 for fruits & nuts; 80 for caramel smooth; 75 for dark fantasy.

The Procurement costs incurred RO 1,800. Number of purchase order 50 for fruits & nuts; 35 for caramel smooth; 45 for dark fantasy;

The delivery costs incurred RO 900. Number of deliveries 42 for fruits & nuts; 40 for caramel; and 38 for dark fantasy.

Requirements: -

Calculate total cost and cost per unit of each types of chocolate by applying absorption costing.

Calculate the total cost and cost per unit of each types of chocolate by applying ABC system.

Calculate the selling price by adding 20% mark up on cost for each brand of chocolate. Also, analyze over costing and under costing for each type of chocolate

Select the lightest W12 for the conditions described, using Fy = 50 ksi and Fu = 65ksi. Show calculations to select trial sizes and check for Gross Section Yielding and Tensile Rupture. Assume the member is to have two lines of 7/8" bolts in each flange. use LRFD method PD= 225 PL=150 Length= 28'

Professor X travels from Houston to Istanbul with stop overs in New York and Londa. At each stop he luggage is transferred from one plane to another. In each airport, including Houston, chances are that with probability p her luggage is not placed in the right plane. Professor X finds that his suitcase has not reached Istanbul. What are the chances that the mishap took place in Houston, New York, and London, respectively?

You have owned the following two stocks over the past 5 years

a. What is the standard deviation of a portfolio's return in which 50% of your portfolio is in each stock? ( Hint: Calculate the holding period return first)

Please show all work and finance formulas.

Problem 1

An automobile manufacturer employs sales representatives who make calls on dealers. The manufacturer wishes to compare the effectiveness of four different call-frequency plans for the sales representatives. Thirty-two representatives are chosen at random from the sales force and randomly assigned to the four call plans (eight per plan). The representatives follow their plans for 6 months, and their sales for the 6-month study period are recorded. These data are listed in the file P19_01.xlsx.

Do the sample data support the hypothesis that at least one of the call plans helps produce a higher average level of sales? Perform an appropriate statistical test and report a p-value.

If the sample data indicate the existence of mean sales differences across the call plans, which plans produce significantly different average sales levels at the 95% level?

the data:

please, i need the answer by using SPSS program. if you display the steps, it will be appreciated.