Question

In: Statistics and Probability

1. Baseball America has noticed the number of homeruns has been increasing in recent years in...

1. Baseball America has noticed the number of homeruns has been increasing in recent years in the MLB. They want to develop a 95% confidence interval that captures the true home run percentage. Home run percentage is defined as the number of home runs per 100 at bats. To do so, they randomly selected 64 current MLB players and calculated their homeruns per at bat for the previous year, and obtained a sample mean and sample standard deviation of 2.2 and 1.7, respectively.

a. Compute a 95% confidence interval for the population mean ? of the home run rate for all MLB players. Interpret with context to the problem.

b. The home run percentages for three MLB players are:

  • Player 1: Primetime Peanuts: 2.1

  • Player 2: Spleens “No Pop” McGillicuddy: 4

  • Player 3: Big Dog Lebowski: 1.5

Assess the confidence interval you calculated and describe how the home run rate for these three players compare to the interval calculated for the population mean.


c. If the confidence level was increased to 99%, would the interval be wider or narrower? Why?

d. Before collecting any data, Baseball America wants to achieve a maximum bound on error of 0.3. They suspect the range of home run rates to be 1.5 to 8. How large a sample should be used to be 95% confident of achieving this level of accuracy?

PLEASE SHOW ALL FORMULA AND WORK.

THANK YOU :)

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

In recent years, there has been increasing concern about the health effects of computer terminals. It...
In recent years, there has been increasing concern about the health effects of computer terminals. It is known that the miscarriage rate under general conditions is about 20%. A random sample of 698 pregnant women working with a computer 1-20 hours per week was taken. For this sample, there were 155 miscarriages. To test the hypothesis whether short-term exposure (1 to -20 hours per week) to computer terminals increases the rate of miscarriages using the level of significance α =...
Baseball has always been a favorite pastime in America and is rife with statistics and theories....
Baseball has always been a favorite pastime in America and is rife with statistics and theories. In a paper, researchers showed that major league players who have nicknames live an average of 2½ years longer than those without them (The Wall Street Journal, July 16, 2009). You do not believe in this result and decide to collect data on the lifespan of 30 baseball players along with a nickname variable that equals 1 if the player had a nickname and...
Has the importance of foreign nonbank financial lending been increasing or decreasing in recent years? Provide...
Has the importance of foreign nonbank financial lending been increasing or decreasing in recent years? Provide some examples to back up your answer.
Has the importance of foreign nonbank financial lending been increasing or decreasing in recent years? Provide...
Has the importance of foreign nonbank financial lending been increasing or decreasing in recent years? Provide some examples to back up your answer.
There has been a substantial increase in recent years of the number of lawsuits over negligence....
There has been a substantial increase in recent years of the number of lawsuits over negligence. Do you think many of these truly pass the “Reasonable Person” doctrine or not? Is this a positive direction for the Unites States to be heading? Please provide examples from your own experience and/or current events.
Urban traffic congestion throughout the world has been increasing in recent​ years, especially in developing countries....
Urban traffic congestion throughout the world has been increasing in recent​ years, especially in developing countries. The accompanying table shows the number of minutes that randomly selected drivers spend stuck in traffic in various cities on both weekdays and weekends. Complete parts a through e below. City_A City_B City_C City_D Weekday 90 42 55 54 79 110 78 68 132 62 78 42 72 77 96 48 97 95 122 53 Weekend 79 83 33 34 91 24 85 44...
Urban traffic congestion throughout the world has been increasing in recent​ years, especially in developing countries....
Urban traffic congestion throughout the world has been increasing in recent​ years, especially in developing countries. The accompanying table shows the number of minutes that randomly selected drivers spend stuck in traffic in various cities on both weekdays and weekends. Complete parts a through e below. City_A City_B City_C City_D Weekday 90 42 55 54 79 110 78 68 132 62 78 42 72 77 96 48 97 95 122 53 Weekend 79 83 33 34 91 24 85 44...
In north America, the average height of adult humans has been increasing steadily for decades. In...
In north America, the average height of adult humans has been increasing steadily for decades. In directional selection occurring? What data would justify your answer?
During recent seasons, Major League Baseball has been criticized for the length of the games. A...
During recent seasons, Major League Baseball has been criticized for the length of the games. A report indicated that the average game lasts 3 hours and 30 minutes. A random sample of 17 games was checked for the times to completion. The mean game time for this sample was 2.955294 hours and the sample standard deviation was 0.13571 hours. Assume that the game time follows a normal distribution. Can we conclude that the mean time for a game is less...
In recent years there have been a number of major corporate collapses that have led to...
In recent years there have been a number of major corporate collapses that have led to criticism of the accounting profession. To what extent has the accounting profession been at fault in these situations? Explain. To what extent have other factors contributed? In your discussion refer to ethical issues.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT