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Raftelis Financial Consulting reported that the mean quarterly water bill in the United States by public utilities was $47.50. An economist pointed out that privatization does not equal competition and monopoly powers provided to public utilities are now being transferred to private companies. The concern is that consumers end up paying higher than average rates for water provided by private companies. The water system for Atlanta, Georgia, is provided by a private company. A sample of 64 Atlanta consumers showed a mean quarterly water bill of $51 with a sample standard deviation of $12. At α = .05 does the Atlanta sample support the conclusion that above average rates exist for this private water system? What is the correct hypothesis test?

Answer :

Answer:

Claim is False.

Step-by-step explanation:

Claim :The mean quarterly water bill in the United States by public utilities was $47.50.

[tex]H_0:\mu \neq 47.50\\H_a: \mu = 47.50[/tex]

Sample size = n = 64

Since n > 30 So. we will use z test.

x = $51

Standard deviation = $12

Formula : [tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

Substitute the values in the formula :

[tex]z=\frac{51-47.50}{\frac{12}{\sqrt{64}}}[/tex]

z=2.33

Refer the z table for p value  

p value = 0.9901

α= 0.05

p value > α

So, we accept the null hypothesis.

So, the claim is false .

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