Question 1[20 points, 5 marks each]
Each member of a random sample of 20 business economists was asked to predict the rate of inflation for the coming year. Assume that the predictions for the whole population of business economists follow a normal distribution with a standard deviation of 2%.
The probability is 0.01 that the sample standard deviation is larger than what value?
The probability is 0.025 that the sample standard deviation is smaller than what value?
Monthly rates of return on the shares of a particular common stock are independent of one another and normally distributed with a standard deviation of 1.8. A sample of 15 months is taken.
Find the probability that the sample standard deviation is less than 2.6.
Find the probability that the sample standard deviation is more than 1.2.
Question 2[20 points]
[10 points]To calculate a required sample size to estimate a population proportion, given a desired confidence interval and margin of error, the sample proportion is required but often unknown before the sample is collected. How is this predicament resolved?
[5 points]How large a sample is needed to estimate the population proportion if ME = 0.09, = 0.05?
[5 points]A fast food company wants to determine the average number of times that fast food eaters visit fast food restaurants per week. They have decided that their estimate needs to be accurate to within plus or minus onetenth of a visit, and they want to be 90% sure of this. Previous research has shown that the standard deviation is 0.7 visits. What is the required sample size?
Question 3 [25 points]
A company selling licenses for new ecommerce computer software advertises that firms using this software obtain, on average during the first year, a yield of 10% on their initial investments. A random sample of 10 of these franchises produced the following yields for the first year of operation:
6.1 9.2 11.5 8.6 12.1 3.9 8.4 10.1 9.4 8.9
[4 marks] Calculate the sample mean and sample standard deviation.
[4 marks] Assuming that the population distribution is normal, construct a 95% confidence interval for the true standard deviation of the yield on initial investment during the first year.
[2 marks] Assuming that the population distribution is normal, formulate a suitable null and alternative hypothesis to test the company’s claim at the 5% level of significance.
[2 marks] What is the test’s decision rule?
[2 marks] Calculate the test statistic.
[1 mark] Based on the test statistic calculated in (d) above, what is your conclusion about the company’s claim?
[2 marks] Calculate the pvalue for the test statistic computed in (d) above.
[1 mark] Using the pvalue found in (f) above, what is your conclusion about the company’s claim?
[3 marks] Construct a 95% confidence interval for the average yield on initial investment during the first year for all firms using the company’s software.
[3 marks] Does the confidence interval in (h) above support your conclusion from the hypothesis test? Explain.
Question 4[16 points, 8 points each]
A music industry professional claims that the average amount of money that an average teenager spends per month on music is at least $50. Based upon previous research, the population standard deviation is estimated to be $12.42. The music professional surveys 20 students and finds that the mean spending is $47.77. Is there evidence that the average amount spent by students is less than $50? Using the pvalue approach, test at the 10% significance level.
The manufacturer of a new chewing gum claims that at least eight out of ten dentists surveyed prefer their type of gum and recommend it for their patients who chew gum. An independent consumer research firm decides to test their claim. The findings in a sample of 400 doctors indicate that 76% do actually prefer the manufacturer’s gum. Is this evidence sufficient to cast doubt on the manufacturer’s claim? Use α = 0.05.
Question 5: EXCEL Question[20 points]
Step1 Draw 500 N(0,1) random numbers for each of ten variables. This will show up in EXCEL as 10 columns of 500 rows.
Step 2 View each row as a sample of length 10. For each of the 500 samples, calculate the sample mean and sample standard deviation. These computations lead to two new columns of length 500.
Step 3 Calculate a zstat (assuming known σ = 1) and a tstat (σ unknown) for each sample.
Step 4 Determine critical values z_{.025} and t_{9,025} (from Tables).
Step 5 Fill in the following Table.
Step 6 Interpret the results in language using the null and alternative hypotheses presented in class.
Percentage Tail Draws Based on N(0,1) Samples
500 samples; size n = 10

zleft tail 
zright tail 
total ztails 
tleft tail 
tright tail 
total ttails 
tcrit_{9,025} 


zcrit_{025} 









Percentage tail values 






Why Choose Us
Quality Papers
We value our clients. For this reason, we ensure that each paper is written carefully as per the instructions provided by the client. Our editing team also checks all the papers to ensure that they have been completed as per the expectations.
Professional Academic Writers
Over the years, our Acme Homework has managed to secure the most qualified, reliable and experienced team of writers. The company has also ensured continued training and development of the team members to ensure that it keep up with the rising Academic Trends.
Affordable Prices
Our prices are fairly priced in such a way that ensures affordability. Additionally, you can get a free price quotation by clicking on the "Place Order" button.
OnTime delivery
We pay strict attention on deadlines. For this reason, we ensure that all papers are submitted earlier, even before the deadline indicated by the customer. For this reason, the client can go through the work and review everything.
100% Originality
At Essay Writing Help, all papers are plagiarismfree as they are written from scratch. We have taken strict measures to ensure that there is no similarity on all papers and that citations are included as per the standards set.
Customer Support 24/7
Our support team is readily available to provide any guidance/help on our platform at any time of the day/night. Feel free to contact us via the Chat window or support email: support@acmehomework.com.
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
Our Services
Essay Writing Help has stood as the world’s leading custom essay writing services providers. Once you enter all the details in the order form under the place order button, the rest is up to us.
Essays
At Essay Writing Help, we prioritize on all aspects that bring about a good grade such as impeccable grammar, proper structure, zeroplagiarism and conformance to guidelines. Our experienced team of writers will help you completed your essays and other assignments.
Admissions
Admission and Business Papers
Be assured that you’ll definitely get accepted to the Master’s level program at any university once you enter all the details in the order form. We won’t leave you here; we will also help you secure a good position in your aspired workplace by creating an outstanding resume or portfolio once you place an order.
Editing
Editing and Proofreading
Our skilled editing and writing team will help you restructure you paper, paraphrase, correct grammar and replace plagiarized sections on your paper just on time. The service is geared toward eliminating any mistakes and rather enhancing better quality.
Coursework
Technical papers
We have writers in almost all fields including the most technical fields. You don’t have to worry about the complexity of your paper. Simply enter as much details as possible in the place order section.