EBK THE BASIC PRACTICE OF STATISTICS
EBK THE BASIC PRACTICE OF STATISTICS
7th Edition
ISBN: 8220103935319
Author: Moore
Publisher: YUZU
Question
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Chapter 31, Problem 31.37CYS
To determine

To find: The central line for the mean response temperature x¯ for each hour’s sample is plotted by x¯ chart.

Expert Solution & Answer
Check Mark

Answer to Problem 31.37CYS

The correct option is Option (b), 750F .

Explanation of Solution

Reason for the correct option:

The population standard deviation and mean are σ=0.5°F and mean μ=75°F for the thermostatic. Sample of size of thermostatic is 4 at each hour.

The central line or limit of x¯ is the μ , that is the mean temperature of μ=75°F , which is the temperature at which the thermostats must turn on the air conditioners.

Thus, the option (b) will be the correct option.

Reason for the incorrect answer:

Option (a) 0.5°F .

It is the population standard deviation for thermostatic. The value of σ is not used in a x¯ chart. Thus, the option (a) is incorrect.

Option (c) that is 4°F , which is also not same to the mean of temperature of thermostatic. Hence, option (c) is incorrect.

Conclusion:

Thus, the central line for the mean response temperature x¯ chart is 75°F .

Statistics Concept Introduction

Introduction:

The x¯ Chart is a type of variable chart. It is used to monitor the means of the successive sample of constant size.

In this chart there are three types of limits are as follows:

UCL=μ+3σnCentrallimitorline=μLCL=μ3σn

Where,

  • μ is the population mean.
  • σ is the population standard deviation.
  • n is the sample mean.

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