+1-415-315-9853

info@mywordsolution.com

 Algebra Math Calculus Physics Chemistry Biology Earth Science Physiology History Humanities English Sociology Nursing Science

Home >> Math

problem 1: Imagine that a sample of 400 rental units shows that (i) the distribution of rents paid per month is not described by a normal distribution, (ii) that the mean rent of the sample is \$755, and (iii) the standard deviation of the sample is \$100.

a) Without seeing the distribution, can you compute the probability that the rent of a randomly selected unit will be greater than \$800? If yes, find out the probability; if no, describe.

b) Without seeing the distribution, can you compute the probability that the mean rent of another sample of 400 units will be greater than \$800? If yes, find out the probability; if no, describe.

c) Why is the answer to (b) only an estimate? (What two numbers about the whole population are you not sure of?)

problem 2: A study done at the University of Maryland (cited in Weiss, Introductory Statistics, 7th ed, 2005) measured the body temperatures of 93 healthy humans. On the frequency-histogram below, superimposed a normal probability-density curve by using the sample’s mean and standard deviation (98.12oF and  0.6468 oF respectively).

a) Construct a 99% confidence interval for the mean temperature of all healthy humans.

b) Interpret your interval in words.

c) Draw this confidence  interval in the space between the histogram and the boxplot on the next page. Point out both this sample’s mean, and the previously accepted value of 98.6oF.

d) You must now make a decision: the mean human-body-temperature is, or is not, 98.6oF. Which decision do you make? Briefly describe.

problem 3: Assume that you want to construct a 99% confidence interval for the mean body temperature for adult males. You want the interval’s margin of error to be to be 0.1 Fahrenheit degrees. You as well happen to know that the POPULATION’S standard deviation is 0.63 Fahrenheit degrees. Compute the size of the required sample.

problem 4
: An internal report issued by the marketing manager of a oil-change franchise claims that the mean number of miles between oil changes is for franchise customers is at least 3600 miles. One franchise owner suspects that the mean distance is actually less than 3600 miles. She collects a random sample of 10 customers, and finds out the distance each had driven between oil changes. She finds the given results.

3655     3734    3700    1946    3208
3311     2789    3920    3555    3902

x‾= 3372     s = 609

a) Make a stem-and-leaf diagram.

b) Does your stem-and-leaf diagram in (a) suggest that the distribution of distances is not normal? (For ex, is there any evidence that the distribution is skewed?)

c) Construct TWO 99% confidence intervals.

i) Use the z-tables.

ii) Use the t-tables.

d) Interpret your outcome in (ii) in words.

e) You now must decide: is the mean distance between oil changes 3600 miles, or not? Describe your reasoning.

f) Which (if either) of the confidence intervals in (c) is proper?

• Category:- Math
• Reference No.:- M9789

Have any Question?

## Related Questions in Math

### A certain forest covers an area of 3900km2 suppose that

A certain forest covers an area of 3900km2. Suppose that each year this area decreases by 4.25%. What will the area be after 6years? Use the calculator provided and round your answer to the nearest square kilometer.

### 1 discuss the difference between fairness and justice

1. Discuss the difference between "fairness" and "justice"? Should stakeholders be treated "fairly" or "justly"? Discuss. 2. Research Milton Friedman's view of corporate social responsibility. Should corporations adopt a ...

### Exploring different businessit alignment frameworks

Exploring different business/IT alignment frameworks, methodologies and tools: Architecture: Enterprise Architecture [TOGAF] Governance: Business Performance Management [Balanced Scorecard] IT Governance [COBIT, ITIL] Co ...

### For the company walmartfor module 3 consider the

For the Company Walmart. For Module 3, consider the organization's mission and strategy from the perspective of its internal business processes (from your work on the case, your previous course work, and your background ...

### You are tasked with choosing a corporation and discussing

You are tasked with choosing a corporation and discussing the importance of ethics and social responsibility in relation to that particular corporation. Think about the stakeholders associated with the corporation and ho ...

### According to the 2010 united states census the population

According to the 2010 United States Census, the population of a town was 85720, roughly a 18% increase from 72644 in 2000. Construct an exponential model to predict the town's population each decade. Use your model to pr ...

### A population of beetles are growing according to a linear

A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=5, and the population after 9 weeks is P9=104. Find an explicit formula for the beetle population aftern n wee ...

### In given figure is intermediate code to compute the dot

In given Figure is intermediate code to compute the dot product of two vectors A and B. Optimize this code by eliminating common subexpressions, performing reduction in strength on induction variables, and eliminating al ...

### Chose a topic that we havent discussed yet this semester

Chose a topic that we haven't discussed yet this semester that you found to be enlightening, or informative, or just plain outta here! Research an article pertaining to the topic to strengthen your knowledge and "experti ...

### Assuming buying a propertywhat is the 5 most important

Assuming buying a property: What is the 5 most important items you seek to understand/verify during your short due diligence period It is better to buy it and sell it yourself, or sold to REIT

• 13,132 Experts

## 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.

### Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

### Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

### Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

### Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

### Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen