Question 1imagine that a sample of 400 rental units shows

Assignment Help Mathematics
Reference no: EM13346697

Question 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 calculate the probability that the rent of a randomly selected unit will be greater than $800? If yes, calculate the probability; if no, explain.

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

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

Question 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, I have superimposed a normal probability-density curve 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. Indicate both this sample's mean, and the previously accepted value of 98.6oF.

d) the mean human-body- temperature is, or is not, 98.6oF. Which decision do you make? Briefly explain.

Question 3

Imagine 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 also happen to know that the POPULATION'S standard deviation  is 0.63 Fahrenheit degrees. Calculate the size of the required sample.

Question 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 determines the distance each had driven between oil changes. She finds the following results.

3655    3734    3700    1946    3208

3311    2789    3920    3555    3902

     x'= 3372                    s = 609

a) Construct a stem-and-leaf diagram.

b) Does your stem-and-leaf diagram  in (a) suggest that the distribution of distances is not normal? (For instance, 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 result in (ii) in words.

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

f) Which (if either) of the confidence intervals in (c) is appropriate? (Suggestion: look at your answer to (b).) Explain briefly.

Reference no: EM13346697

Questions Cloud

You are required to investigate the dynamic movement of a : you are required to investigate the dynamic movement of a mass m sliding along a rod as shown in the diagram below. the
A magnetic field is present in space and is time dependent : a magnetic field is present in space and is time dependent. it is given bybt sint i 7-t j 23t ka wire in the shape
1 write a recursive instance method called : 1 write a recursive instance method called countconnectedpipesint row int col. the method must not contain any loops
Question-if start with 93 gr of li how may grams of h2 can : question-if start with 9.3 gr of li how may grams of h2 can you make?nbspli h20 ----gt lioh h2if it starts with 3.4
Question 1imagine that a sample of 400 rental units shows : question 1imagine that a sample of 400 rental units shows thati the distribution of rents paid per month is not
1 what is the advantage of corrosion resistance : 1 what is the advantage of corrosion resistance biomaterials? discuss their properties. use example.2 where we can use
The use of pcr and genetic approaches in biotechnology1 : the use of pcr and genetic approaches in biotechnology1 define the following terms.a ecotillingb an allelic seriesc
Design currency conversion application which includes : design currency conversion application which includes following elementsbullcomplete requirements
Problem adescribe clearly the geometric object determined : problem adescribe clearly the geometric object determined by the condition.problem bshow that satisfies the

Reviews

Write a Review

Mathematics Questions & Answers

  Questions on ferris wheel

Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.

  Logistic map

This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.

  Finding the probability of cards

This assignment has questions related to probabiltiy.

  Systems of ode

Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.

  Derive the boolean expression

Derive the Boolean Expression and construct the switching circuit for the truth table stated

  System of equations

Evaluate which equations are under-identified, just-identified, and over-identified.

  Linear programming problem

Linear programming problem consisting of only two constraints with one objective function.

  Find the natural domain

Find the natural domain of the given functions.

  Introduction to numerical methods

Compute the coecients of the polynomials using the term recurrence relation.

  Chart of the topological manifold

De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.

  Mathematics in computing

Questions related on mathematics in computing.

  Complex problems

Complex problems

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd