Login

Contact Us
Calculus and Above
Calculus Questions? Ask a Mathematician for Answers ASAP
Not a Calculus and Above Question?
How JustAnswer Works:
Ask an Expert
Experts are full of valuable knowledge and are ready to help with any question. Credentials confirmed by a Fortune 500 verification firm.
Get a Professional Answer
Via email, text message, or notification as you wait on our site.
Ask follow up questions if you need to.
100% Satisfaction Guarantee
Rate the answer you receive.
Ask Sandhya_sharma Your Own Question
Sandhya_sharma
,
Master's Degree
Category:
Calculus and Above
Satisfied Customers:
3713
Experience:
I hold M.Sc and M.Phil degrees in math and have several years of teaching experience.
14910578
Type Your Calculus and Above Question Here...
Sandhya_sharma is online now
TCO 6) Horse race time is found to be normally distributed
Resolved Question:
TCO 6) Horse race time is found to be normally distributed with a mean value of 10 minutes and a standard deviation of 2 minutes. Horses whose race time is in the top 5% will not be eligible to participate in a second round. What is the lowers race time that makes a horse losses his eligibility to participate in a second round? (Points : 6)
13.29
12
6.71
15.29
A Mall manager claims that in average every customer spends $52 per a single visit to the mall. To test this claim, you took a sample of 36 customers and found the sample mean to be $55 and the sample standard deviation to be $12. At alpha = 0.05, test the Mall’s manager claim. Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results. (Points : 20)
A bank manager wanted to estimate the mean number of transactions businesses make per month. For a sample of 60 businesses, he found the mean number of transaction per month to be 38 and the standard deviation to be 8.5 transactions.
(a) Find a 95% confidence interval for the mean number of business transactions per month. Show your calculations and/or explain the process used to obtain the interval.
(b) Interpret this confidence interval and write a sentence that explains it. (Points : 20)
A company’s CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 400 products, he found 25 defective products.
(a) Find a 95% confidence interval for the true proportion of defective product. Show your calculations and/or explain the process used to obtain the interval.
(b) Interpret this confidence interval and write a sentence that explains it. (Points : 20)
The ages of 10 students are listed in years:{ 18,20,27,24,29,21,28,19,22,28}
(a) Find the mean, median, mode, sample variance, and range.
(b) Do you think that this sample might have come from a normal population? Why or why not? (Points : 20)
Submitted:
4 years ago.
Category:
Calculus and Above
Share this conversation
Expert:
Sandhya_sharma
replied 4 years ago.
Hi,
I have started work on these questions.
I will send answers within 2025 minutes from now.
Thanks
Ask Your Own Calculus and Above Question
Customer:
replied 4 years ago.
thank you
Expert:
Sandhya_sharma
replied 4 years ago.
You are most welcome!
Ask Your Own Calculus and Above Question
Expert:
Sandhya_sharma
replied 4 years ago.
Here are the solutions:
TCO 6) Horse race time is found to be normally distributed with a mean value of 10 minutes and a standard deviation of 2 minutes. Horses whose race time is in the top 5% will not be eligible to participate in a second round. What is the lowers race time that makes a horse losses his eligibility to participate in a second round? (Points : 6)
13.29
12
6.71
15.29
Answer: 13.29
A Mall manager claims that in average every customer spends $52 per a single visit to the mall. To test this claim, you took a sample of 36 customers and found the sample mean to be $55 and the sample standard deviation to be $12. At alpha = 0.05, test the Mall’s manager claim. Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results. (Points : 20)
Solution:
Null Hypothesis: H0: µ = 52
Alternate Hypothesis H1: µ ≠ 52
Test statistic: z = (5552)/(12/sqrt(36)) = 1.5
Critical zvalues = 1.96, 1.96
Since calculated test statistics does not fall in rejection region so we fail to Reject Null hypothesis. Thus there is enough evidence to support manager’s claim that in average every customer spends $52 per a single visit to the mall.
A bank manager wanted to estimate the mean number of transactions businesses make per month. For a sample of 60 businesses, he found the mean number of transaction per month to be 38 and the standard deviation to be 8.5 transactions.
(a) Find a 95% confidence interval for the mean number of business transactions per month. Show your calculations and/or explain the process used to obtain the interval.
Solution:
95% confidence interval will be
= (38 1.96*8.5/sqrt(60), 38+ 1.96*8.5/sqrt(60))
= (35.85, 40.15)
(b) Interpret this confidence interval and write a sentence that explains it. (Points : 20)
Solution:
It means that we are 95% confident that the true mean number of transactions per month is between 35.85 and 40.15.
A company’s CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 400 products, he found 25 defective products.
(a) Find a 95% confidence interval for the true proportion of defective product. Show your calculations and/or explain the process used to obtain the interval.
Solution:
phat = 25/400 = 0.0625
95% confidence interval for the true proportion of defective product will be
=(0.0625 – 1.96*sqrt(0.0625*(10.0625)/400), 0.0625 + 1.96*sqrt(0.0625*(10.0625)/400))
= (0.0388, 0.0862)
(b) Interpret this confidence interval and write a sentence that explains it. (Points : 20)
Solution:
It means that we are 95% confident that the true proportion of defective product lies between 0.0388 and 0.0862.
The ages of 10 students are listed in years:{ 18,20,27,24,29,21,28,19,22,28}
(a) Find the mean, median, mode, sample variance, and range.
Mean = 23.6
Median = 23
Mode = 28
Range = 11
Sample variance = 17.16
(b) Do you think that this sample might have come from a normal population? Why or why not? (Points : 20)
Since the mean and the median are approximately the same, this sample might have come from a normal population.
Please don't forget to click ACCEPT. BONUS is always appreciated.
Thanks
Sandhya_sharma and other Calculus and Above Specialists are ready to help you
Ask your own question now
Share this conversation
Related Calculus and Above Questions
Question
Date Submitted
Can you please assist with this last one... Please let me
1/9/2017
1/11/2017
Ryan
Can you assist with this attached, please let me know if you
1/8/2017
1/8/2017
Ryan
Per our conversation attached is what I need assistance
1/6/2017
1/7/2017
Ryan
Need assistance with five math problems...statistics and
1/4/2017
1/4/2017
Ryan
I have a math problem. I have some percents and numbers and
1/3/2017
1/3/2017
Mr. Glenn
Need help with a sra, i need help on 2 questions, the system
12/29/2016
12/30/2016
Mr. Glenn
Or a particular consumer product, the mean dollar sales per
12/24/2016
12/25/2016
Mr. Glenn
Q1. Write a correct alternative hypothesis for: Ho: µ ≤ 35.
12/19/2016
12/19/2016
George Sibiya
Suppose a rumor is spreading that the government plans to
12/17/2016
12/17/2016
Ryan
Frandec Company manufactures, assembles, and rebuilds
12/15/2016
12/17/2016
Mr. Glenn
X
Ask a Tutor
Get a Professional Answer. 100% Satisfaction Guaranteed.
54 Tutors are Online Now
Type Your Calculus and Above Question Here...
characters left: