A company employs 900 people, employed on different pay grades. The number of men and women at each pay grade is as follows: Pay Grade Men Women A 1 2 B 12 15 C 40 30 D 80 320 E 240 160 A full list of the employees has been made available for a survey on childcare provision at work. Describe how the company could construct a simple random sample of 40 employees.

A simple random sample is a sample such that every member of the population is equally likely to be included in the sample, independent of any other member of the population. Number the employees from 1 to 900 Use a random number generator to generate 40 random numbers between 1 and 900 . Choose the corresponding employees.

A company employs 900 people, employed on different pay grades. The number of men and women at each pay grade is as follows: Pay Grade Men Women A 1 2 B 12 15 C 40 30 D 80 320 E 240 160 A full list of the employees has been made available for a survey on childcare provision at work. Describe how the company could construct a systematic sample of 45 employees.

A systematic sample takes members of the population at regular intervals from an ordered sampling frame. Number the employees from 1 to 900 . Use a random number generator to pick a random starting point. Choose every 20 th employee from that point( 45 employees out of 900 means taking every 900 45 = 20 th employee)

Rose Harrison and Clara Huizink Solutions for Exercise 8: Practice 1

Author:Rose Harrison & Clara Huizink

Rose Harrison Mathematics Solutions for Exercise - Rose Harrison and Clara Huizink Solutions for Exercise 8: Practice 1

Attempt the practice questions from Exercise 8: Practice 1 with hints and solutions to strengthen your understanding. MYP Mathematics A concept based approach 4&5 Standard solutions are prepared by Experienced Embibe Experts.

Questions from Rose Harrison and Clara Huizink Solutions for Exercise 8: Practice 1 with Hints & Solutions

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 3

A teenager wants to know how many of his friends watch cartoons. He sends a message to every $20$ th person in the contact list on his phone. Determine what sort of sample this is. Comment on the suitability of this sampling method.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 4

A company employs $900$ people, employed on different pay grades. The number of men and women at each pay grade is as follows:

Pay Grade	Men	Women
$A$	$1$	$2$
$B$	$12$	$15$
$C$	$40$	$30$
$D$	$80$	$320$
$E$	$240$	$160$

A full list of the employees has been made available for a survey on childcare provision at work.

Describe how the company could construct a simple random sample of $40$ employees.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 4

A company employs $900$ people, employed on different pay grades. The number of men and women at each pay grade is as follows:

Pay Grade	Men	Women
$A$	$1$	$2$
$B$	$12$	$15$
$C$	$40$	$30$
$D$	$80$	$320$
$E$	$240$	$160$

A full list of the employees has been made available for a survey on childcare provision at work.

Describe how the company could construct a systematic sample of $45$ employees.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 4

A company employs $900$ people, employed on different pay grades. The number of men and women at each pay grade is as follows:

Pay Grade	Men	Women
$A$	$1$	$2$
$B$	$12$	$15$
$C$	$40$	$30$
$D$	$80$	$320$
$E$	$240$	$160$

A full list of the employees has been made available for a survey on childcare provision at work.

Describe how the company could construct a stratified sample of $90$ employees. Explain clearly why it would be necessary to combine pay grades $A$ and $B$ .

MEDIUM

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 5

Is it possible to conduct a random sample by selecting people at random from a sampling frame in a survey of the students in a school to find out the proportion of students who are vegetarian? Explain.

MEDIUM

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 5

Is it possible to conduct a random sample by selecting people at random from a survey of the supporters of a particular ice hockey team to find out whether or not they thought the manager was doing a good job? Explain.

MEDIUM

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 5

Is it possible to conduct a random sample by selecting people at random from a sampling frame in a survey of the voters in a particular town to see if they would vote in favour of re-electing the town mayor? Explain.

MEDIUM

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 5

Is it possible to conduct a random sample by selecting people at random from a sampling frame in a survey of the civil servants in an American city to see if they attended fire safety training sessions regularly? Explain.

Rose Harrison and Clara Huizink Solutions for Exercise 8: Practice 1

Rose Harrison Mathematics Solutions for Exercise - Rose Harrison and Clara Huizink Solutions for Exercise 8: Practice 1

Questions from Rose Harrison and Clara Huizink Solutions for Exercise 8: Practice 1 with Hints & Solutions

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