/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q16E Suppose a random sample of n = 2... [FREE SOLUTION] | 91影视

91影视

Suppose a random sample of n = 25 measurements are selected from a population with mean and standard deviation s. For each of the following values of and role="math" localid="1651468116840" , give the values of and .

  1. =100,=3
  2. =100,=25
  3. =20,=40
  4. =10,=100

Short Answer

Expert verified

Random sampling is a sampling strategy in which every sample has an equal chance to be selected. A basic random sample is intended to reflect a group in an unbiased manner.

Step by step solution

01

 Step 1: (a) The data is given below

The calculation is given below:

=10=325=35=0.6

02

(b) The data is given below

The calculation is given below:

-=100=255=5

03

(c) The data is given below

The calculation is given below:

-=20=405=8

04

(d) The data is given below

The calculation is given below:

-=10=1005=20

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Consider the population described by the probability distribution shown below.

The random variable x is observed twice. If these observations are independent, verify that the different samples of size 2 and their probabilities are as shown below.

a. Find the sampling distribution of the sample meanx.

b. Construct a probability histogram for the sampling distribution ofx.

c. What is the probability thatxis 4.5 or larger?

d. Would you expect to observe a value ofxequal to 4.5 or larger? Explain.

Downloading 鈥渁pps鈥 to your cell phone. Refer toExercise 4.173 (p. 282) and the August 2011 survey by thePew Internet & American Life Project. The study foundthat 40% of adult cell phone owners have downloadedan application (鈥渁pp鈥) to their cell phone. Assume thispercentage applies to the population of all adult cell phoneowners.

  1. In a random sample of 50 adult cell phone owners, howlikely is it to find that more than 60% have downloadedan 鈥渁pp鈥 to their cell phone?
  2. Refer to part a. Suppose you observe a sample proportionof .62. What inference can you make about the trueproportion of adult cell phone owners who have downloadedan 鈥渁pp鈥?
  3. Suppose the sample of 50 cell phone owners is obtainedat a convention for the International Association forthe Wireless Telecommunications Industry. How willyour answer to part b change, if at all?

Variable life insurance return rates. Refer to the International Journal of Statistical Distributions (Vol. 1, 2015) study of a variable life insurance policy, Exercise 4.97 (p. 262). Recall that a ratio (x) of the rates of return on the investment for two consecutive years was shown to have a normal distribution, with =1.5, =0.2. Consider a random sample of 100 variable life insurance policies and letxrepresent the mean ratio for the sample.

a. Find E(x) and interpret its value.

b. Find Var(x).

c. Describe the shape of the sampling distribution ofx.

d. Find the z-score for the value x=1.52.

e. Find Px>1.52

f. Would your answers to parts a鈥揺 change if the rates (x) of return on the investment for two consecutive years was not normally distributed? Explain.

Length of job tenure. Researchers at the Terry College ofBusiness at the University of Georgia sampled 344 business students and asked them this question: 鈥淥ver the course of your lifetime, what is the maximum number of years you expect to work for any one employer?鈥 The sample resulted in x= 19.1 years. Assume that the sample of students was randomly selected from the 6,000 undergraduate students atthe Terry College and that = 6 years.

  1. Describe the sampling distribution of X.
  2. If the mean for the 6,000 undergraduate students is= 18.5 years, findPx>19.1.
  3. If the mean for the 6,000 undergraduate students is= 19.5 years, findPx>19.1.
  4. If,P(x>19.1)=0.5 what is?
  5. If,Px>19.1=0.2 isgreater than or less than 19.1years? Explain.

:A random sample of n = 68 observations is selected from a population with=19.6and =3.2Approximate each of the following probabilities

a)pX19.6

b)pX19

c)pX20.1

d)p19.2X20.6


See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.