Calculate the expected value with the information given.

1). You are trying to figure out if you can make money off of a new,

and, maybe, poorly constructed, dice rolling game. Each time you play

you must wager exactly $1. If you roll a 1-4 on a ten sided die, you

will then roll an 8 sided die and receive 10¢ times the number

rolled. If you roll a 5-8 on the ten sided die, you will receive

nothing. Finally, if you roll a 9-10 you will receive $1 times the

number rolled on a four sided die. What is the expected value for

each time you play this game in dollars (Remember to account for the

$1 wager!)?

2). You are an investor and are deciding which business to invest $500

in. One business has a 70% probability of netting $2 in profit for

every dollar invested. The second business has a 40% chance of

profiting $5 for every dollar invested. How much money would you

expect to profit from each of the two businesses if you invested

$500?

3). There is a 0.00000034223% chance you will win the Power Ball with

a $1 ticket. The current jackpot is $80 million. What is the expected

value of playing the Power Ball lottery?

The importance of big data doesn't revolve around how much data you have, but what you do with it. You can take data from any source and analyze it to find answers that enable cost reductions, time reductions, new product development and optimized offerings, and smart decision making. When you combine big data with high-powered analytics, you can accomplish business-related tasks such as:

• Determining root causes of failures, issues, and defects in near-real time.
• Generating coupons at the point of sale based on the customer's buying habits.
• Recalculating entire risk portfolios in minutes.
• Detecting fraudulent behavior before it affects your organization.

In your post give an example of an actual or potential application of big data or data mining in your own organization or an organization you are familiar with. Discuss and share this information with your classmates.

In responding to your peers, select responses that use big data or a data mining application that is different from your own. Based on your readings from Chapter 21 describe how the application meets the criteria of being big data or data mining. Consider how big data or data mining could be applied to the final project case study. Support your initial posts and response posts with scholarly sources cited in APA style.

Final Shot John Diggle needs to give up his trusted Glock for a more non-lethal weapon. Cisco Ramon builds him a stun gun that his claims matches the Glock shooting characteristics, including accuracy. Do these data representing "shot groups" give statistically significant evidence of a difference in accuracy between the two types? Glock (cm): 9.3 16.7 7.1 14 5 6 Stun Gun (cm): 4.9 14.1 7 7.2 5.4 8.6 Write the Hypotheses: H_0:_______________, the mean difference in ___________ between ____________ and ______________ is _______________ H_a:_______________, the mean difference in ___________ between ____________ and ______________ is _______________ Are the conditions for inference met? (draw a picture of the histograms) Provide the calculations: Sample mean diff:_________________________________ Standard err:_____________________________________ T-stat:__________________________________________ P-value:_________________________________________ Write your conclusion: At the 5% level of significance, we ______________ that the mean difference in ___________ between ____________ and ______________ is _______________. We ________________________ the mean difference in ___________ between ____________ and ______________ is _______________. [P-value = ________ ] Construct a 90% Confidence interval. What does the interval mean in the context of the problem We are 90% confident that the difference in mean _______________ For ________________________ is between ____________ and _______________ ___________________ than __________________. Was Cisco correct, does John’s Stun Gun perform the same? Explain

What are the different commands in R software to analyze the Mayo clinic's "pbc" dataset?

Probability Calculation: Calculate the probability of the events happening with the given information. Please write BOTH the probability and the percentage chance.

1). You are playing a game with Dungeons and Dragons with some

friends. In order to defeat the goblins that are defending a magical

sword you have to either roll a 6 or higher on a 12 sided die OR roll

lower than 14 on a 20 sided die. What is the probability that you

defeat the goblins provided that you roll both dies? (Hint: Remember

that rolling the 12 sided die, and rolling the 20 sided die are

independent events).

2). You decide to go to Keenland with some friends. You reckon that

horse number 4 has a 7:1 chance of winning. What is the probability

that this horse wins?

A small businessman is planning on opening a new retail location. Three locations are available, and he is interested in the annual income of families near each location. A random sample of 4 families is selected near each location, and the results are shown below (in thousands of dollars). Use this data to test the hypothesis that mean income is the same in all three areas.

a) What is the critical value at the 0.01 significance level?

For full marks your answer should be accurate to at least two decimal places.

Critical value: 0

b) What is the F statistic?

For full marks your answer should be accurate to at least two decimal places.

F statistic: 0

Further to the legalization of Cannabis in Canada, the Ontario Ministry of Transportation (OMT) is preparing an advertising campaign to discourage impaired driving due to the use of cannabis products. The campaign will target the most dangerous combinations of THC levels and time since last intake on driving competencies. As a recent Telfer graduate with a passion for statistics, you’ve been hired by the OMT to manage this project with the assistance of a research agency. You recruit 60 individuals and assign them randomly to 4 different treatment groups of interest. Subjects must consume a certain quantity of cannabis and then go to a virtual simulator room after a certain period of time to test their driving abilities on a scale totaling 30 points. Score data for the different treatment groups can be found in the data below at the end of the questions

a) This study consists of what kind of experiment? Describe its main components and explain how it differs from an observational study.

b)Make a side-by-side boxplot of the data and explain if the similar variance and the nearly normal conditions for conducting an ANOVA seem to be satisfied.

c) In addition to a side-by-side boxplot, what other graphs can you use to check if the assumptions/conditions for using an ANOVA are satisfied? (Note: you don’t need to produce these graphs; just explain how you would produce them.)

d)Calculate the sample variance for each treatment group and then use it to calculate the pooled variance manually. Check to see if your pooled variance agrees with the MSE displayed on the partial ANOVA table in part e) below.

e) Fill in manually the correct values for the missing values in the ANOVA table below. Show your computations (maximum of 2 decimal places).

f) Using the one-way ANOVA in e) above, test if there is a significant difference in the true mean score between the 4 treatment groups using the critical value approach and a 5% significance level. Make sure you follow all the steps for hypothesis testing indicated in the Instructions section, show your computations, and state the business significance of your conclusion.

g) Use the Bonferroni multiple comparison method to determine which population means differ at α = 0.05. Show your computations.

h) Perform a Kruskal-Wallis non-parametric test to determine whether there is a difference among the four-intake group (treatment group) scores. Use a 5% significance level and the critical value approach. You can use Excel or Minitab for your calculations but remember to show all the steps of your hypothesis test. Is your conclusion consistent with your results in f) above?

Let X1, . . . , Xn be a random sample from a uniform distribution on the interval [a, b]

(i) Find the moments estimators of a and b.

(ii) Find the MLEs of a and b.

A livestock company reports that the mean weight of a group of young steers is 1115 pounds with a standard deviation of 80 pounds. Based on the model ​N(1115​,80​) for the weights of​ steers, what percent of steers weigh ​a) over 1100 ​pounds? ​b) under 1300 ​pounds? ​c) between 1150 and 1200 ​pounds?

Belmont and Marolla conducted a study on the relationship between birth order, family size, and intelligence. The subjects consisted of all Dutch men who reached the age of 19 between 1963 and 1966. These men were required by law to take the Dutch army induction tests, including Raven’s intelligence test. The results showed that for each family size, measured intelligence decreased with birth order: first-borns did better than second-borns, second-borns did better than third-borns, and so on. And for any particular birth order, intelligence decreased with family size: for instance, first-borns in two-child families did better than firstborns in three-child families. Taking, for instance, men from two-child families:

• the first-borns averaged 2.58 on the test;

• the second-borns averaged 2.68 on the test.

(Raven test scores range from 1 to 6, with 1 being best and 6 worst.) The difference is small, but if it is real, it has interesting implications for genetic theory. To show that the difference was real, Belmont and Marolla made a two sample t-test. The standard deviation for the test scores was around one point in both groups, and there were 30,000 men in each group.

Belmont and Marolla concluded: “Thus the observed difference was highly significant . . .a high level of statistical confidence can be placed in each average because of the large number of cases.”

Do you agree with their conclusion? Why or why not? please solve mathematically. Was it appropriate to make a two-sample t-test in this situation?

please write out neatly

Assume a normal distribution and find the following probabilities. (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.) (a) P(x < 23 | μ = 26 and σ = 4) enter the probability of fewer than 23 outcomes if the mean is 26 and the standard deviation is 4 (b) P(x ≥ 42 | μ = 30 and σ = 7) enter the probability of 42 or more outcomes if the mean is 30 and the standard deviation is 7 (c) P(x > 23 | μ = 30 and σ = 6) enter the probability of more than 23 outcomes if the mean is 30 and the standard deviation is 6 (d) P(22 < x < 25 | μ = 24 and σ = 4) enter the probability of more than 22 and fewer than 25 outcomes if the mean is 24 and the standard deviation is 4 (e) P(x ≥ 95 | μ = 80 and σ = 2.80)

Acrylic bone cement is sometimes used in hip and knee replacements to secure an artificial joint in place. The force required to break an acrylic bone cement bond was measured for eight specimens, and the resulting mean and standard deviation were 306.01 newtons and 41.92 newtons, respectively. Assuming that it is reasonable to believe that breaking force has a distribution that is approximately normal, use a 95% confidence interval to estimate the mean breaking force for acrylic bone cement. (Use a table or technology. Round your answers to three decimal places.)

( , ) N

Explain why investment is usually more volatile then consumption across the business cycle using and interpreting the coefficient of variation

Wilson Publishing Company produces books for the retail market. Demand for a current book is expected to occur at a constant annual rate of 7,400 copies. The cost of one copy of the book is $11.50. The holding cost is based on an 18% annual rate, and production setup costs are $150 per setup. The equipment with which the book is produced has an annual production volume of 25,000 copies. Wilson has 250 working days per year, and the lead time for a production run is 15 days. Use the production lot size model to compute the following values. (Round your answers to two decimal places.)

(a)

Minimum cost production lot size

(b)

Number of production runs per year

(c)

Cycle time

(d)

Length of a production run (in days)

  days

(e)

Maximum inventory

(f)

Total annual cost (in $)

$

(g)

Reorder point

Consider the monthly time series shown in the table.

1. Use the method of least squares to fit the model E(Yt) = β0 + β1t to the data. Write the prediction equation.
2. Use the prediction equation to obtain forecasts for the next two months.
3. Find 95% forecast intervals for the next two months.