CAN YOU PLEASE POST R-SCRIPT ONLY!!
In Major League baseball, the speed of a pitch is very
important. How fast is the speed of a major league pitchers average
pitch? A researcher took a random sample of the speed of 15 pitches
from the 2019 Major League baseball season. The following are the
speeds of these pitches in miles per hour:
92.8, 87.0, 89.1, 96.2, 75.6, 89.6, 92.5, 83.3, 86.5, 95.6, 94.1,
91.6, 94.2, 93.4, 90.0
It is reasonable to treat these measurements as coming from a
normal distribution with unknown mean μ and unknown
standard deviation σ
CAN YOU PLEASE POST R-SCRIPT ONLY!!
a)Use the data to calculate an unbiased point estimate of the true
mean, μ, of pitch speeds in the 2019 Major League baseball
season.
b)Use the data to find an unbiased point estimate of the population
variance, σ2 of pitch speeds in the 2019 Major
League baseball season.
c) Use the data to find the maximum likelihood estimate of the
population variance, σ2, of pitch speeds in the
2019 Major League baseball season.
d) Find the sample standard deviation of the above data
e) Find the sample median of the above data.
f)Create a 90% confidence interval for μ.
( , )
g) What critical value did you use to calculate the 90% confidence
interval in part f)?
h)Create a 90% prediction interval for μ.
( , )
In: Statistics and Probability
Fuel Efficiency of Manual and Automatic Cars
Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Assume that conditions for inference are satisfied.
| City MPG, Automatic | City MPG, Manual | |
|---|---|---|
| Mean | 16.12 | 19.85 |
| SD | 3.58 | 4.51 |
| n | 26 | 26 |
The hypotheses for this test are:
The test statistic is: (please round to two decimal
places)
The p-value is: (please round to four decimal
places)
Interpret the result of the hypothesis test in the context of the
problem:
In: Statistics and Probability
Chapter 12 Case Study Nutrition and Physical Activity
Anna is a 15 year old gymnast, who has experienced a 10 lbs weight loss over the past 3 years. She is 5’3 and weighs 95 lbs. She trains 4 hours a day with her team and then runs 6 miles after practice to make sure she does not get fat. Currently she is below the 1%ile weight for height on the growth chart. While Anna’s parents have noticed that she has gotten thinner, it did not raise any alarms. Her parents were concerned about the future possibility of obesity that could result from the typical teenage eating, so snack foods are severely limited at home, in order to teach Anna how to eat like “an athlete”. Her coach advised her team to avoid all white foods to reduce body fat. This was all discovered when Anna was not able to recover after surgery from a sports injury as fast as she should have because of malnutrition. While in the hospital they diagnosed her with osteopenia and an eating disorder.
What type of eating disorder was she diagnosed with and why?
What steps would you take to help Anna?
What would the appropriate amount of calories, carbohydrates and protein needs be for her? Base it on her ideal body weight and her activity level.
In: Nursing
SecuriCorp operates a fleet of armored cars that make scheduled pickups and deliveries in the Los Angeles area. The company is implementing an activity-based costing system that has four activity cost pools: Travel, Pickup and Delivery, Customer Service, and Other. The activity measures are miles for the Travel cost pool, number of pickups and deliveries for the Pickup and Delivery cost pool, and number of customers for the Customer Service cost pool. The Other cost pool has no activity measure because it is an organization-sustaining activity. The following costs will be assigned using the activity-based costing system:
| Driver and guard wages | $ | 1,160,000 |
| Vehicle operating expense | 590,000 | |
| Vehicle depreciation | 470,000 | |
| Customer representative salaries and expenses | 500,000 | |
| Office expenses | 360,000 | |
| Administrative expenses | 660,000 | |
| Total cost | $ | 3,740,000 |
The distribution of resource consumption across the activity cost pools is as follows:
| Travel |
Pickup and Delivery |
Customer Service |
Other | Totals | ||||||
| Driver and guard wages | 50 | % | 35 | % | 10 | % | 5 | % | 100 | % |
| Vehicle operating expense | 70 | % | 5 | % | 0 | % | 25 | % | 100 | % |
| Vehicle depreciation | 60 | % | 15 | % | 0 | % | 25 | % | 100 | % |
| Customer representative salaries and expenses | 0 | % | 0 | % | 90 | % | 10 | % | 100 | % |
| Office expenses | 0 | % | 20 | % | 30 | % | 50 | % | 100 | % |
| Administrative expenses | 0 | % | 5 | % | 60 | % | 35 | % | 100 | % |
Required:
Complete the first stage allocations of costs to activity cost pools.
In: Accounting
Corp operates a fleet of armored cars that make scheduled pickups and deliveries in the Los Angeles area. The company is implementing an activity-based costing system that has four activity cost pools: Travel, Pickup and Delivery, Customer Service, and Other. The activity measures are miles for the Travel cost pool, number of pickups and deliveries for the Pickup and Delivery cost pool, and number of customers for the Customer Service cost pool. The Other cost pool has no activity measure because it is an organization-sustaining activity. The following costs will be assigned using the activity-based costing system:
| Driver and guard wages | $ | 1,040,000 |
| Vehicle operating expense | 470,000 | |
| Vehicle depreciation | 350,000 | |
| Customer representative salaries and expenses | 380,000 | |
| Office expenses | 240,000 | |
| Administrative expenses | 540,000 | |
| Total cost | $ | 3,020,000 |
The distribution of resource consumption across the activity cost pools is as follows:
| Travel | Pickup and Delivery |
Customer Service |
Other | Totals | ||||||
| Driver and guard wages | 50 | % | 35 | % | 10 | % | 5 | % | 100 | % |
| Vehicle operating expense | 70 | % | 5 | % | 0 | % | 25 | % | 100 | % |
| Vehicle depreciation | 60 | % | 15 | % | 0 | % | 25 | % | 100 | % |
| Customer representative salaries and expenses | 0 | % | 0 | % | 90 | % | 10 | % | 100 | % |
| Office expenses | 0 | % | 20 | % | 30 | % | 50 | % | 100 | % |
| Administrative expenses | 0 | % | 5 | % | 60 | % | 35 | % | 100 | % |
Required:
Complete the first stage allocations of costs to activity cost pools.
In: Accounting
|
In: Biology
"A contributing factor to an airplane's duel consumption is the bypass ratio of the engine system. The bypass ratio is the amount of air passing around the engine core relative to the amount of air passing through the core. An airplane manufacturer is designing a new airplane and wants to determine the bypass ratio for the airplane's engine system. The airplane will fly 3,700 hours per year and will average 450 miles per hour. The amount of fuel that the airplane consumes can be expressed as: z = 0.0511 - (8.27*10^-4) * y for 4 < y < 12 where y is the bypass ratio (a unitless number) and z is the number of gallons of fuel consumed per mile flown by the airplane. The cost of fuel remains constant at $4.51 per gallon. The initial cost of the engine system as a function of the bypass ratio is $306,000 + $2,500y^2. The engine system will be used for 8 years. At the end of 8 years, the salvage value of the engine system as a function of bypass ratio is $11,000y. The airplane manufacturer wants to minimize the annual equivalent cost (AEC) of the engine system (which includes the initial cost, the annual cost of fuel, and the salvage value). The manufacturer's MARR is 13.7%. What is the optimal bypass ratio rounded to the nearest tenth that minimizes the AEC of the engine system? (The optimal answer for the bypass ratio is between 4 to 12, but it should not be necessary to consider that constraint in your calculations.)"
In: Finance
Red Yoder is an 80-year-old farmer who lives alone in the farmhouse where he grew up. It is located 20 miles outside of town. Red has been a widower for 10 years. Red rarely cooks for himself and mainly eats packaged or processed foods. His son, Jon, manages the farm now, but Red is still involved in the decision making.Red’s current medical problems include insulin-dependent diabetes complicated by an open foot wound. He also has some incontinence and difficulty sleeping.
Red is awaiting a visit from the home health nurses. He relates that he has an open wound on his big toe that developed after walking in a new pair of shoes. When his daughter-in-law, Judy, saw the wound, she called the family doctor, who suggested a visit by the wound care nurse, who works with the home health agency. Red agreed as long as his VA benefits cover the costs. Red is aware that his son and daughter-in-law have concerns about him living alone, but Red insists that while he needs a little help from Jon and Judy at times, he is still capable of caring for himself.
What are Red’s strengths?
What are your concerns for this patient?
What is the cause of your concern?
What information do you need?
What are you going to do about it?
What is Red experiencing?
In: Nursing
Hospital President Jose Vasquez, in a virtual online call with journalists, a recording of which was reviewed by Forbes, said the hospital has been given extra personnel from the state and federal governments but still has insufficient resources, and is “establishing an ethics committee as well as a triage committee that is going to be in charge of reviewing each one of these cases that need hospitalization.” He said if a patient, particularly someone with a significant underlying medical condition, needs “mechanical ventilation to survive we have to start making a triage evaluation and [determine] who has a better chance to use, in a beneficial way, all of the resources versus who is a patient that because of chronic medical illness does not have the chance to survive.” Vasquez said some badly ill Covid-19 patients have been transferred to hospitals outside of the county, and in some cases outside of the state, a pattern he said is not sustainable and could lead to “those patients who most certainly do not have any hope of improving going ...thousands of miles away dying alone in a hospital.” Answer the following: Based on this situation if you were Jose Vasquez – what would you do? What options are available that may alleviate the situation? In Chapter 8 we learned about life and death issues, would any of those help in this situation? If so, which ones and how would they help?
In: Nursing
Fuel Efficiency of Manual and Automatic Cars
Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Assume that conditions for inference are satisfied.
| City MPG, Automatic | City MPG, Manual | |
|---|---|---|
| Mean | 16.12 | 19.85 |
| SD | 3.58 | 4.51 |
| n | 26 | 26 |
The hypotheses for this test are:
The test statistic is: (please round to two decimal
places)
The p-value is: (please round to four decimal
places)
Interpret the result of the hypothesis test in the context of the
problem:
In: Statistics and Probability