(Answered) Question an automobile club comes to the aid of stranded

Statistics

Question: An automobile club comes to the aid of stranded motorists who are members. Over the long run, about 5% of the members utilize this service in any 12-month period. A small town has 400 members of the club. Consider the 400 members to be representative of the larger club membership. Let p^{^} be the proportion of them who will utilize the service in the coming 12-month period.

a. Explain how Conditions 1 to 3 (p. 325) for the approximate normality of the sampling distribution for a sample proportion are met in this scenario. State any assumptions that you need to make to do so.

b. What are the values of n and p in this situation?

c. Describe the sampling distribution of p^{^}, including values for the mean and standard deviation.

d. The towing service in town contracts with the club to come to the aid of up to 28 members in the next 12-month period. What proportion is that of the 400 members in town? What is the approximate probability that the actual proportion requiring aid will exceed that value?

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M92537072
Price:- $10

Verified Expert

Priced at $20 Now at $10, Verified Solution

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

1 a certain compact disc player randomly plays each of 10

1. A certain compact disc player randomly plays each of 10 songs on a CD. Once a song is played, it is not repeated until all the songs on the CD have been played. In how many different ways can the CD player play the 10 ...

A machine has four components a b c and d set up in such a

A machine has four? components, A? B, C, and? D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does not depend on the functionality of ...

Question the probability a beginning golfer makes a good

Question: The probability a beginning golfer makes a good shot if he selects the correct club is 1/3. The probability the shot is good with the wrong club is 1/5. In his bag are four different clubs, only one of which is ...

A book company sells 10 000 books a month each book has a

A book company sells 10, 000 books a month, each book has a 1/500 chance of being returned. Us the Poisson approximation to find the probability that the number of books returned in a month will be at most 3.

From a random sample of 58 businesses it is found that the

From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 20.53 with a standard deviation of 3.23. What is the 95% confidence interval for the amount of ...

Recent test scores on the law school admission test lsat

Recent test scores on the Law School Admission Test (LSAT) are normally distributed with a mean of 162.4 and a standard deviation of 15.9. What is the probability that the mean of 12 randomly selected scores is less than ...

A laboratory worker finds that the 3 of his blood samples

A laboratory worker finds that the 3% of his blood samples test positive for the HIV virus. In a random sample of 70 blood tests, what is the mean number that test positive for the HIV virus? (Round your answer to 1 deci ...

Let x be the random variable that represents the life in

Let X be the random variable that represents the life in hours of a certain electronic device. The probability density function of X X is f(x)=360x 3 f(x)=360x3 , 10≤x≤15 10≤x≤15. Find the expected life of this device.

A fair die is rolled 36 times what is the standard

A fair die is rolled 36 times. What is the standard deviation of the even number (2, 4, or 6) outcomes?

If two samples a and b had the same mean and sample size

If two samples A and B had the same mean and sample size, but sample A had a larger standard deviation, which sample would have the wider 95% confidence interval?

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert