1. A cognitive psychologist believes that memory for pictures is superior to memory for words. To test this hypothesis, the psychologist performs an experiment in which students from an introductory psychology class are used as participants. Ten randomly selected students view 30 slides with nouns printed on them, and another group of eight randomly selected students views slides with pictures of the same nouns. Each slide is presented for 4 seconds. After viewing the slides, participants are given a recall test, and the number of correctly remembered items is measured. The summary data follow:

Nouns     Pictures

n₁ = 10      n₂ = 8

M₁ = 20    M₂ = 22

SS₁ = 30   SS₂ = 40

Is there a difference between nouns and pictures in the number of words recalled? Use a two-tailed test with α = 0.05.

(1) What type of statistical test is appropriate for this research question?

(2) State the null and alternative hypotheses using statistical notation OR using plain English (a sentence for each).

(3) What are the degrees of freedom and critical t-values for this test?

(4) Calculate the pooled variance.

(5) Compute the test statistic

(6) What is your decision? And what does that decision mean, or how would you interpret/explain your decision?

(7) Construct the 95% confidence interval for the mean difference between the two conditions, µ₁-µ₂.

(8) Would you reject or fail to reject H₀ based on the 95% confidence interval? How do you know?

The data below shows the titles of ten movies from 2018, the production budget and domestic box office receipts (in millions). For example, Black Panther's budget was $200 million and the box office revenues in the US totaled $700 million.

The mean production budget is 76.00 and its standard deviation is 55.68.

The mean Domestic Box office revenue is 190.94 and its standard deviation is 198.10.

The correlation coefficient between the two variables is 0.81

[Useful formulas: slope=rSy/Sx and intercept = mean of Y – (slope * mean of X)]

I believe that movies that spend more in production end up receiving more in box office revenues.

You run a regression of BUDGET on DOMESTIC BOX OFFICE.

According to the regression, for each additional million dollars spent on the budget, do box office receipts increase or decrease?  

by how much? (only use one decimal place in your answer)

6. There are two main ways to describe how loud a sound is. One is that you can describe its intensity, I, measured in W/m2, which is the amount of energy per unit time, per unit area, transported by the sound. However, this is not very close to the human experience of sound loudness. The human experience of loudness (actually like the way most of our senses work) is that each factor of 10 in intensity sounds like the same sized “step” in loudness. In other words, in our experience of sound, the difference between 0.01 W/m2 and 0.1 W/m2, seems the same as the difference between 0.1 W/m2 and 1 W/m2. For this reason, when talking about loudness we often use the “decibel scale”, defined by

   ?I? β = (10dB)log I0

   where I is the sound intensity, I0 is a reference intensity and β is the loudness in decibels. A common choice for I0 is the “threshold of hearing”, which for a typical person is I0 = 1 × 10−12 W/m2.

   1. (a) What intensity corresponds to β = 0 dB? Does 0 dB mean “no sound”?

   2. (b) The “threshold of pain” (hopefully the name makes it clear what this means...) is 130 dB. What sound intensity

      does this correspond to?

   3. (c) Some sound has a loudness of 50 dB. Another sound has 1200 times the intensity of the first sound. What is the loudness of the second sound?

Two-way ANOVA:

An industrial psychologist was interested in the impact of Introductory Message (general greeting, inquiry, or statement) and Type of Phone (land line or cell) on the length of a phone call. The data appear below.

Use SPSS to analyze the data and answer the following questions. Be sure to include your SPSS output (you will need to copy/paste the ANOVA table into a Word document first).

Phone Message

1.       What are the F statistics (in appropriate APA style) for:

1.       The main effect for Phone Message
2.       The main effect for Phone Type
3.       The interaction of Phone Message and Phone Type

2.       Regarding each of the above F statistics, what are your decisions for (alpha = .05):

1.       The main effect for Phone Message
2.       The main effect for Phone Type
3.       The interaction of Phone Message and Phone Type

3.       Do you need to test simple effects?

4.       Do you need to conduct any follow-up analyses of main effects (post hoc tests)?

5.       Do you need to determine the effect size for any of the results? If yes, what are the results?

I am trying to figure out the probability, expected value, variance, and standard deviation for a series of dice rolls. For example, if I roll a six-sided die in an attempt to roll a 1, and it takes me 7 rolls before a 1 appears, what are those answers? I have figured out the probability equation:

P(P-1)^x where x is the number of rolls - 1 so for 7 rolls the probability would be: 1/6(1-1/6)^6 = 0.05581632...

Further where I am lost is taking the above and using it to find the Expected Value, Variance, and Standard Deviation?

As I see the equations but plugging in numbers has me lost as p is the probability of failure and x = 0,1,2,3 for geometric distribution it would be

E(X)= (1-p)/p .... this is where I am lost as failure is 5/6 not 1/6 correct? Please show example of this so I can better understand, also on Variance, and Standard Deviation?

language C++

i need output, Pleases

The Josephus problem is named after the historian Flavius Josephus, who lived between

the years 37 and 100 CE. Josephus was a reluctant leader of the Jewish revolt against

the Roman Empire. When it appeared that Josephus and his band were to be captured,

they resolved to kill themselves. Josephus persuaded the group by saying, “Let us commit

our mutual deaths to determination by lot. He to whom the first lot falls, let him be

killed by him that hath the second lot, and thus fortune shall make its progress through

us all; nor shall any of us perish by his own right hand, for it would be unfair if, when

the rest are gone, somebody should repent and save himself” (Flavius Josephus, The

Wars of the Jews, Book III, Chapter 8, Verse 7, tr. William Whiston, 1737). Yet that is

exactly what happened; Josephus was left for last, and he and the person he was to kill

surrendered to the Romans. Although Josephus does not describe how the lots were

assigned, the following approach is generally believed to be the way it was done. People

form a circle and count around the circle some predetermined number. When this number

is reached, that person receives a lot and leaves the circle. The count starts over with

the next person. Using the circular linked list developed in Exercise 6, simulate this problem.

Your program should take two parameters: n, the number of people that start, and

m, the number of counts. For example, try n = 20 and m = 12. Where does Josephus need

to be in the original list so that he is the last one chosen?

The suicide rate in a certain state is 1 suicide per 100,000 inhabitants

per month. In a city with population 400,000, and the probabilities of the

following events. Your answers should be numerical; if they are approximate,

explain your approximation.

(a) There will be 8 or more suicides in one month.

(b) What is the probability that in a given year there will be at least two months with 8 or more suicides?

1.Marginal profit is equal to marginal revenue plus marginal cost.

True or false

Spacely Sprockets' short-run cost curve is C(q,K)=25q2K+15KC(q,K)=25q2K+15K, where q is the number of Sprockets produced and K is the number of robot hours Spacely hires. Currently, Spacely 2.hires 10 robot hours per period. The short-run marginal cost curve is MC(q,K)=50qKMC(q,K)=50qK. If Spacely receives $250 for every sprocket he produces, his profit maximizing output level is 50.

True or False

3.Consider a competitive market in which the market demand for the product is expressed as P = 75 - 1.5Q, and the supply of the product is expressed as P = 25 + 0.5Q. Price, P, is in dollars per unit sold, and Q represents the rate of production and sales in hundreds of units per day. The typical firm in this market has a marginal cost of MC=2.5+10qMC=2.5+10q.

In this case, the typical firm will maximize its profit at the point where MC = P =

True or False

4. Revenue is equal to price times quantity.

True or false

5. The table below lists the short-run costs for One Guy's Pizza. If One Guy's can sell all the output it produces for $12 per unit, One Guy's should produce 58 pizzas to maximize profits.

True or false

6. Producer surplus in a perfectly competitive industry is the difference between revenue and variable cost. True or false

7. he following table contains information for a price-taking competitive firm. The maximum profit is $13.

True or false

8. Average total cost for the firm in the following table is U-shaped.

True or false

9. Consider the following diagram, where a perfectly competitive firm faces a price of $40. At the profit-maximizing level of output, total revenue is $2,400.

True or false

Test A               Score

Respondent        X              Y         x-x       ( x-x) ²         y-y      ( y-y) ²  ( x-x) ( y-y)

  Test B               Score

Respondent        X              Y         x-x       ( x-x) ²         y-y      ( y-y) ²  ( x-x) ( y-y)

a. Calculate Pearson’s Product Movement Correlation Coefficient (r) for Test A. Show your work. (6 points)

b. Based on the correlation coefficient which you calculated, in two words how would you describe the relationship between the two variables in Test A? (4 points)

c. Calculate Pearson’s Product Movement Correlation Coefficient (r) for Test B. Show your work. (6 points)

d. Based on the correlation coefficient which you calculated, in two words how would you describe the relationship between the two variables in Test B? (4 points)

e. Which test would you select? (2 points) Why? (4 points)

Calculate the probability of completing the project between 35 and 40 weeks? [4 pts]
  
f Answer the project manager’s question: “I want to tell the client that there is a 10.03% chance the project will take longer than X weeks _{- what figure should I give them (i.e. find X)?” [4]}