name and draw two diagnostic plots used to evaluate linear regression and how they would look if all model assumptions are met.
In: Math
A new product will sell for $8. The company expects to sell around 900,000 units. (Use a normal distribution with a mean of 900,000 and a standard deviation of 300,000.) Fixed costs are normally distributed with a mean of $700,000 and a standard deviation of $50,000. Unit variable costs are also normally distributed with a mean of $3 and a standard deviation of $0.25. Selling expenses are lognormally distributed with a mean of $900,000 and a standard deviation of $50,000.
a. What is the expected value of profit for this product?
b. What is the probability that profit will exceed $3 million?
In: Math
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random sample of 23 items from the first population showed a mean of 107 and a standard deviation of 12. A sample of 15 items for the second population showed a mean of 102 and a standard deviation of 5. Use the 0.025 significant level. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) State the decision rule for 0.025 significance level. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision regarding the null hypothesis? Use the 0.03 significance level.
In: Math
SS 
df 
MS 
F 

Rating 
455 

Season 
192.5 

Interaction 
140 
In: Math
Consider the following game: Three cards are labeled $1, $4, and $7. A player pays a $9 entry fee, selects 2 cards at random without replacement, and then receives the sum of the winnings indicated on the 2 cards.
a) Calculate the expected value and standard deviation of the random variable "net winnings" (that is, winnings minus a $9 entry fee)
b) Suppose a 4th card, labelled k, is added to the game but the player still selects two cards without replacement. What is the value of k which makes the game fair (i.e makes expected net winnings = $0)
In: Math
1. Calculate the test statistic to compare the variance in poverty rates for rural counties to that of urban cities in 2016.
2. Calculate the pvalue of the test statistic to compare the variance in poverty rates for rural counties to that of urban counties in 2016.
These are two questions I have for my homework, I have an excel sheet to work with and I just need to know the operations to derive these calculations. Also, is the FStatistic the test statistic?
In: Math
To study the effectiveness of possible treatments for
insomnia, a sleep researcher
conducted a study with 12 participants. Four participants were
instructed to count
sheep (the Sheep Condition), four were told to concentrate on their
breathing (the
Breathing Condition), and four were not given any special
instructions. Over the next
few days, measures were taken how long it took each participant to
fall asleep. The
average times for the participants in the Sheep Condition were 14,
28, 27, and 31; for
those in the Breathing Condition, 25, 22, 17, and 14; and for those
in the control
condition, 45, 33, 30, and 41. Do these results suggest that the
different techniques have
different effects? Answer the question by conducting a hypothesis
test at the 0.05
significant level.
Use the five steps of hypothesis testing and demonstrate your
calculations.
Please demonstrate all calculations in detail in your answers including how you found the standard deviations. Thanks.
In: Math
Suppose you are rolling two independent fair dice. You may have one of the following outcomes
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,2) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
Now define a random variable Y = the absolute value of the
difference of the two numbers
a. Complete the following pmf of Y with necessary calculations and
reasoning.
b. Find the mgf of Y
c. Now further consider another random variable X = the sum of the two numbers. Do you think X and Y are independent? Briefly explain your reasons
In: Math
A particular meatprocessing plant slaughters steers and cuts and wraps the beef for its customers. Suppose a complaint has been filed with the Food and Drug Administration (FDA) against the processing plant. The complaint alleges that the consumer does not get all the beef from the steer he purchases. In particular, one consumer purchased a cut and wrapped beef. To settle the complaint, the FDA collected data on the live weights and dressed weights of nine steers processed by a reputable meat processing plant (not the firm in question). The results are listed in the table.
Live Weight 
Dressed Weight 
x, pounds 
y, pounds 
420 
280 
380 
250 
480 
310 
340 
210 
450 
290 
460 
280 
430 
270 
370 
240 
390 
250 
a. Fit the model E(y)= β_{0} + β_{1}x to the data
b. Construct a 95% prediction interval for the dressed weight y of a 300pound steer.
c. Would you recommend that the FDA use the interval obtained in part b to determine whether the dressed weight of 150 pounds is a reasonable amount to receive from a 300pound steer? Explain.
In: Math
A researcher claims that the mean age of the residents of a small town is more than 32 years. The ages (in years) of a random sample of 36 residents are listed below. At α=0.10, α = 0.10 , alpha equals , 0.10 , comma is there enough evidence to support the researcher's claim? Assume the population standard deviation is 9 years. 41,33,47,31,26,39,19,25,23,31,39,36,41,28,33,41,44,40,30,29,46,42,53,21,29,43,46,39,35,33,42,35,43,35,24,21
In: Math
Crossett Trucking Company claims that the mean weight of its delivery trucks when they are fully loaded is 5,850 pounds and the standard deviation is 280 pounds. Assume that the population follows the normal distribution. Fifty trucks are randomly selected and weighed.
Within what limits will 95 percent of the sample means occur?
In: Math
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Question: Find the regression equation, letting the first variable be the predictor (x) variable. Using t...
Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 27 years. Is the result within 5 years of the actual Best Actor winner, whose age was 45 years?
Best Actress: 27, 31, 29, 59, 34, 32, 44, 28, 65, 21, 45, 54
Best Actor: 45, 39, 40, 43, 52, 50, 59, 52, 41, 56, 44, 33
a. Find the equation of the regression line.
b. The best predicted age of the best actor winner given that the age of the best actress winner that is 27 years is ___years old.
In: Math
Free will is an important concept to individuals and societies. In the context of cognitive neuroscience, mounting evidence suggests that free will is an illusion, constructed by processes in the brain, similar to visual illusions. Recent research has demonstrated that people who believe in free will tend to also believe in the paranormal (Mogi, 2014). A psychologist at Arizona State University (ASU) wanted to replicate this study with students in the psychology major. Following the procedure of Mogi (2014), an anonymous survey was sent to students with a call to participate in a “study of free will.” There was no mention of paranormal beliefs at this stage. One thousand and thirtyeight (1038) students completed the following survey. First, subjects were asked a series of questions regarding their belief in free will. After the free will questions, subjects were asked a series of questions regarding their belief in the paranormal. Care was taken so that the questions related to the paranormal was not phrased in a way that suggested a correlation between free will and the paranormal. Below are the findings:
Belief in Paranormal 

n_{total} = 1038 
Yes 
No 

Belief in Free Will 
Yes 
446 
172 
618 
No 
298 
122 
420 

744 
294 
State your decision: Based on your statistical analysis, does
this data suggest a significant relationship between belief in free
will and belief in the paranormal amongst the budding psychologists
at ASU?
In: Math
17. The lengths of a population of certain HULU shows I watch are normally distributed with a mean running time of 38 minutes and a standard deviation of 11.5.
2.Between what values would you expect to find the middle 80 %
3. Find the percentage of shows with running times below 47.5 minutes
4.Above what value would you expect to find the top 25 %?
5.Find the percentage of shows with running times above 18 minutes.
In: Math
Absenteeism is a major problem for some companies and in some industries. Suppose a study was conducted on absenteeism in the warehousing industry. Observations on several variables that might be related to absenteeism were collected on 35 major warehouses in the Pacific Northwest.
Absent: The average number of absences per employee for the year (does not include vacation days or confirmed sick days)
Wage: The average annual wage paid to the warehouse employees (does not include manager salaries)
Pct U: Union membership. The percentage of employees who belong to a union at the warehouse.
Good R: 1 if the employee group selfreported a “good” relationship with management; 0 if the employee group selfreported otherwise.
Perform a complete multiple regression analysis to find a model that might be useful for predicting the average number of absences per employee for the year. Perform ALL steps as outlined in class. Use Minitab and show all your work. Use alpha = .10 for any required tests (and show all steps for any required test). STAPLE MULTIPLE PAGES and include all required computer output.
Absent  Wage  Pct U  Good R 
5.4  42000  57.1  1 
4.1  39350  41.5  1 
11.5  31000  52.6  0 
2.1  28000  65.1  0 
5.9  30000  68.8  1 
12.9  28000  46.4  0 
3.5  40000  38.9  1 
2.6  35820  17.2  1 
8.6  29500  12.9  0 
2.7  29500  18.1  0 
6.6  36500  64.4  1 
2.1  39600  63.7  1 
3.8  31200  12.2  1 
4.3  32000  11.8  0 
4.3  29600  25.8  0 
2.2  37560  53.2  1 
8.6  32000  22.8  0 
10.8  22980  49.8  0 
2.9  32000  39.1  0 
5.3  42320  32.6  1 
8.2  29500  67.7  0 
2.8  36500  10.8  1 
2.4  37970  25.5  1 
2.8  35180  31.8  1 
5  29630  35  0 
9.5  39800  41.9  1 
4.3  41000  52.9  1 
8.9  32890  64.4  0 
7.2  27500  69.7  0 
5.6  27500  61.8  1 
2.4  40826  52.1  1 
2.7  31970  57.4  0 
13.4  29990  15.2  0 
14.8  31450  38.7  0 
10.7  36900  69.4  1 
In: Math