Question

In: Statistics and Probability

A task force is studying the need for an additional bicycle path on a large university...

A task force is studying the need for an additional bicycle path on a large university campus. It is assumed that the distribution of bicyclists using a path between classes is normally distributed with a population variance of about 64. A random sample of 7 existing bicycle paths showed that the sample mean number of bicyclists using a path between classes was 33.

Construct a 95% confidence interval for the population mean number of bicyclists using a bicycle path.

Solutions

Expert Solution

Solution :

Given that,

= 33

2 = 64

= 8

n = 7

At 95% confidence level the z is ,

  = 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.960

Margin of error = E = Z/2* (/n)

= 1.960 * (8 / 7 ) = 6

At 95% confidence interval estimate of the population mean is,

- E < < + E

33 - 6 < < 33 + 6

27 < < 39

(27, 39)

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A task force is studying the need for an additional bicycle path on a large university...
A task force is studying the need for an additional bicycle path on a large university campus. It is assumed that the distribution of bicyclists using a path between classes is normally distributed with a population variance of about 64. A random sample of 7 existing bicycle paths showed that the sample mean number of bicyclists using a path between classes was 33. A group of interested students took its own sample of 5 different bicycle paths, and computed a...
14. An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm...
14. An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm. The following result was obtained. (Please show the calculation process) Did Well on Midterm Did Poorly on Midterm Studying for Exam 80 20 Went Bar Hopping 30 70 Referring to above table, what is the probability...
Assume you are the CEO of a large farm equipment manufacturer.You need additional funds to...
Assume you are the CEO of a large farm equipment manufacturer. You need additional funds to finance your operations. You must decide whether to finance your operations with debt, the issuance of common stock or by reinvesting the profits generated by the business. Please indicate how you are going to finance the operations and support your decision. You can only choose one.
The president of a large university has been studying the relationship between male/female supervisory structures in...
The president of a large university has been studying the relationship between male/female supervisory structures in his institution and the level of employees’ job satisfaction. The results of a recent survey are shown in the table below. Conduct a test at the 5% significance level to determine whether the level of job satisfaction depends on the boss/employee gender relationship.                                                                                         Boss/Employee Level of Satisfaction Male/ Female Female/Male Male/Male Female/Female Satisfied 60 15 50 15 Neutral 27 45 48 50 Dissatisfied...
Harvey is riding his bicycle, no-handed, and at a very fast speed down a park path....
Harvey is riding his bicycle, no-handed, and at a very fast speed down a park path. Trish, a jogger, accompanied by her dog, Rover on a leash is approaching Harvey from the other direction. Because he knows that he is bigger and faster on his bike, Harvey expects Trish to move out of his way. Unfortunately, Trish does not and as Harvey passes Trish, he side-swipes her knocking her to the ground and injuring her. Rover is inadvertently released when...
4.) You are managing a task on the critical path which has a BAC of $500,000....
4.) You are managing a task on the critical path which has a BAC of $500,000. The task is 80 percent complete. The team has completed 10 weeks on the task, and it was scheduled to take 10 weeks. You have spent $400,000 on the task so far. Calculate the cost performance index (CPI) and schedule performance index (SPI). Briefly explain what the reults mean.
The AICPA has assembled a Sustainability Task Force that is in the process of developing a...
The AICPA has assembled a Sustainability Task Force that is in the process of developing a Sustainability Assurance Guide due to the increased expectations regarding the reporting of corporate social and environmental performance. For your review, below is the AICPA resource. Assume you are a member of this taskforce; discuss what types of assertions you would expect your client’s management to make regarding socially responsible goals. How do you think stakeholders will rely on the assurances that are provided by...
Find the work done by the force field F in moving a particle through the path...
Find the work done by the force field F in moving a particle through the path C. That is, find    Where C is the compound path given by r(t)=<t,0,t> from (0,0,0) to (2,0,2) followed by r(t)=<2,t,2> from (2,0,2) to (2,2,2)
Alicia is a busy university student who spends her days in university attending classes or studying....
Alicia is a busy university student who spends her days in university attending classes or studying. In addition to her three meals, she packs two snacks to take with her to school. However, she doesn't always consume both snacks. Let X be the number of snacks she consumes per day. The distribution of X is as follows: x 0 1 2 P(X=x) 0.05 0.35 0.60 Assume the number of snacks per day is independent from day to day. A.[5] Find...
Dr. B. is studying the effect of feedback on the perceived ability to complete a task....
Dr. B. is studying the effect of feedback on the perceived ability to complete a task. She randomly selects 30 NSC students to participate in her study. She randomly selects a third of the sample to participate in the “commend hard work” group, another third of the sample to participate in the “commend intelligence” group, and the remaining third of the sample to participate in the “no feedback” group. She meets with each participant individually and gives them a series...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT