The minister of Cooperative Governance and Traditional Affairs claims the average monthly utility cost for a household of four is R5250. The mayor of the City of Johannesburg Metropolitan Municipality is interested in whether the claim is correct. She obtains a random sample of 64 records and computes the average monthly utility cost to be R5300 with a standard deviation of R275. The power of a test is the probability of correctly rejecting the null hypothesis, and is calculated by subtracting the probability of making a Type Il error from 1, i.e. 1- B = 1- P(Type Ill error). Find the power of this test when u is actually R5275 and Ho will be rejected when x > 5367 or * < 5282.

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The minister of Cooperative Governance and Traditional Affairs claims the average monthly
utility cost for a household of four is R5250. The mayor of the City of Johannesburg Metropolitan
Municipality is interested in whether the claim is correct. She obtains a random sample of 64
records and computes the average monthly utility cost to be R5300 with a standard deviation of
R275.
The power of a test is the probability of correctly rejecting the null hypothesis, and is calculated
by subtracting the probability of making a Type Il error from 1, i.e. 1- B =1– P(Type ll error).
Find the power of this test when u is actually R5275 and Ho will be rejected when x > 5367 or
* < 5282.
Transcribed Image Text:The minister of Cooperative Governance and Traditional Affairs claims the average monthly utility cost for a household of four is R5250. The mayor of the City of Johannesburg Metropolitan Municipality is interested in whether the claim is correct. She obtains a random sample of 64 records and computes the average monthly utility cost to be R5300 with a standard deviation of R275. The power of a test is the probability of correctly rejecting the null hypothesis, and is calculated by subtracting the probability of making a Type Il error from 1, i.e. 1- B =1– P(Type ll error). Find the power of this test when u is actually R5275 and Ho will be rejected when x > 5367 or * < 5282.
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