# Business statisics | Statistics homework help

Data Analysis -Decision Making for Managers

1.

Suppose that a recent article stated that the mean time spent in jail by a first–time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3 years with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.

2.

Some of the following statements refer to the null hypothesis, some to the alternate hypothesis. For each one of them, state the null hypothesis, H0, and the alternative hypothesis. Ha, in terms of the appropriate parameter (μ or p).

1. The mean number of years Americans work before retiring is 34.

2. At most 60% of Americans vote in presidential elections.

3. The mean starting salary for San Jose State University graduates is at least \$100,000 per year.

4. Twenty-nine percent of high school seniors get drunk each month.

5. Fewer than 5% of adults ride the bus to work in Los Angeles.

6. The mean number of cars a person owns in her lifetime is not more than ten.

7. About half of Americans prefer to live away from cities, given the choice.

8. Europeans have a mean paid vacation each year of six weeks.

9. The chance of developing breast cancer is under 11% for women.

10. Private universities mean tuition cost is more than \$20,000 per year.

3.

State the Type I and Type II errors in complete sentences given the following statements

1.  The mean number of years Americans work before retiring is 34.

2.  At most 60% of Americans vote in presidential elections.

3.  The mean starting salary for San Jose State University graduates is at least \$100,000 per year.

4.  Twenty-nine percent of high school seniors get drunk each month.

5.  Fewer than 5% of adults ride the bus to work in Los Angeles.

6.  The mean number of cars a person owns in his or her lifetime is not more than ten.

7.  About half of Americans prefer to live away from cities, given the choice.

8.  Europeans have a mean paid vacation each year of six weeks.

9.  The chance of developing breast cancer is under 11% for women.

10. Private universities mean tuition cost is more than \$20,000 per year

4.

The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.

1.  Is this a test of one mean or proportion?

2.  State the null and alternative hypotheses.

3.  H0: ____________________ Ha: ____________________

4.  Is this a right-tailed, left-tailed, or two-tailed test?

5.  What symbol represents the random variable for this test?

6.  In words, define the random variable for this test.

7.  Calculate the following:

i. x = ________________

ii. n = ________________

iii. p′ = _____________

8.  Calculate σx = __________. Show the formula set-up.

9.  State the distribution to use for the hypothesis test.

10. Find the p-value.

11. At a pre-conceived α = 0.05, what is your:

i. Decision:

ii. Reason for the decision:

iii. Conclusion (write out in a complete sentence):

5.

For Americans using library services, the American Library Association claims that at most 67% of patrons borrow books. The library director in Owensboro, Kentucky feels this is not true, so she asked a local college Statistics class to conduct a survey. The class randomly selected 100 patrons and found that 82 borrowed books. Did the class demonstrate that the percentage was higher in Owensboro, KY? Use α = 0.01 level of significance. What is the possible proportion of patrons that do borrow books from the Owensboro Library?

Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

### Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors: