Exercise 1 A city's telephone book lists 280,000 people. If the telephone book is...

Question

Exercise 1 A city's telephone book lists 280,000 people. If the telephone book is the frame for a study, how large would the sample size be if systematic sampling were done on every 100th person?...

Exercise 1

A city's telephone book lists 280,000 people. If the telephone book is the frame for a study, how large would the sample size be if systematic sampling were done on every 100th person?

Sample size =

Exercise 2

A random sample of size 81 is drawn from a population with a standard deviation of 14. If only 18% of the time a sample mean greater than 300 is obtained, what is the mean of the population?

Round the answer to 2 decimal places.

Exercise 3

In a particular area of Tasmania, an estimated 75% of the homes use heating oil as the principal heating fuel during the winter. A random telephone survey of 150 homes is taken in an attempt to determine whether this figure is correct. Suppose 120 of the 150 homes surveyed use heating oil as the principal heating fuel. What is the probability of getting a sample proportion this large or larger if the population estimate is true?

Round all
z
values to 2 decimal places. Round all intermediate calculations and answer to 4 decimal places.

P(x)
=

The tolerance is +/- 0.0001

QUESTION 4

For a population,
N
= 23000 and
p
= 0.18 . Find the
z
value for for
n
= 70 .

5.17

1.74

-2.18

7.04

-1.70

Question 5

Suppose the average checkout tab at a large supermarket is $65.13, with a standard deviation of $21.45. Twenty-three percent of the time when a random sample of 45 customer tabs is examined, the sample average should exceed what value?

Round the answer to 3 decimal places.

The tolerance is +/- 0.05.

QUESTION 6

Forty-six percent of a population possesses a particular characteristic. Random samples are taken from this population. Determine the probability of each of the following occurrences.

Round all
z
values to 2 decimal places. Round all intermediate calculations and answers to 4 decimal places.

a.
The sample size is 60 and the sample proportion is between .41 and .53.

P(x)
=

b.
The sample size is 458 and the sample proportion is less than .40.

P(x)
=

c.
The sample size is 1350 and the sample proportion is greater than .49.

P(x)
=

The tolerance is +/- 0.0001

Question 7

For a population,
N
= 6000 ,
µ
= 111 , and
s
= 14 . Find the
z
value for for
n
= 36 .

-0.283

9.565

5.778

7.543

14.951

005_fled8jk-o4v2vefk.docx

Answered Same DayDec 20, 2021

David · Accepted Answer

SAMPLING AND SAMPLING DISTRIBUTIONS
	Exercise 1
	
A city's telephone book lists 280,000 people. If the telephone book is the frame for a study, how large would the sample size be if systematic sampling were done on every 100th person? 
Sample size = 
2800
	Exercise 2
	
A random sample of size 81 is drawn from a population with a standard deviation of 14. If only 18% of the time a sample mean greater than 300 is obtained, what is the mean of the population? 
Round the answer to 2 decimal places.
301.42
We want z1 such that P(z> z1) = .18
Z1= (300- µ)*81.5/14
X1 =301.42333
	Exercise 3
In a particular area of Tasmania, an estimated 75% of the homes use heating oil as the principal heating fuel during the winter. A random telephone survey of 150 homes is taken in an attempt to determine whether this figure is correct.

Sun	Mon	Tue	Wed	Thu	Fri	Sat
30	31	1	2	3	4	5
6	7	8	9	10	11	12
13	14	15	16	17	18	19
20	21	22	23	24	25	26
27	28	29	30	1	2	3

Exercise 1 A city's telephone book lists 280,000 people. If the telephone book is the frame for a study, how large would the sample size be if systematic sampling were done on every 100th person?...

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