QNT 275 Week 2 participation The City of Westwood

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QNT 275 Week 2 participation The City of Westwood
Using the T-test for one sample populations, what can you infer about the sample population based on your calculations?

In 1974, the City of Westwood was experiencing problems with their utilities. Home owners were complaining that their appliances were being blown because their homes were receiving too much voltage. The city says each home receives between 121 to 122 volts. The city was 95% confident that they are correct. Analyze the data and determine if they are correct or if the home owners had a legitimate complaint. Use 121 as the population mean

 

They sample 15 homes and measure the voltage:

 

Location Number     Voltage

1                                    121.5

2                                    120.9

3                                    124.6

4                                    125.8

5                                    123.5

6                                    125.1

7                                    123.7

8                                    124.5

9                                    120.4

10                                   120.3

11                                   121.2

12                                   120.8

13                                   124.1

14                                   123

15                                   124.6

 

City of Westwood

 

Team

 

I am going to give you a kick start by showing you the first steps of the 5 step hypothesis testing process and the beginning of the T-test

 

1. Research Question:

 

R1: Are the homes in the City of Westwood receiving between 121 and 122 Volts?

 

2. Hypothesis Statement

 

H1: Homes in the City of Westwood ARE receiving between 121 and 122 Volts

Ha: Homes in the City of Westwood ARE NOT Receiving between 121 and 122 Volts

 

3. Confidence Level

 

We are 95% confident that are main hypothesis statement is TRUE

 

95% level of confidence equates to a +/-2.145 (Go to T-table, find the .05/95% column, your Degrees of Freedom = N -1 or 15-1 =14 you find the T-critical of +/-2.145

 

 

Step #4:  Apply the T-test

 

 
T=Xbar-µ
 
 
 
 
 
 
 

 
s/√n
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Xbar = 122.9333 (which you must calculate yourself)

U = 121

S = 1.8953 (which you must calculate yourself)

N = 15

 

122.9333 - 121

1.8953/√15          = ? 

 

Now you calculate the rest, what is the T-calculation?

 
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