question archive A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75

A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75

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A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75. An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65. If you wanted to test whether the mean balance is different from $75 and decided to reject the null hypothesis, what conclusion could you reach? 25) A) There is no evidence that the mean balance is not $75. B) There is no evidence that the mean balance is $75. C) There is evidence that the mean balance is $75. D) There is evidence that the mean balance is not $75.

 

Select one:

C

B

A

D

 

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D . There is evidence that the mean balance is not $75

Below is an illustration :

Step-by-step explanation

Here, the null hypothesis

?H0?:? the mean monthly balance of credit card holders is equal to $75

and

the Alternative hypothesis,

?H1?? : the mean monthly balance of credit card holders is not equal to $75.

From the findings,  the mean owed is $83.40 . This is not equal to $75.

Therefore, we reject the null hypothesis.

Hence, we conclude that there is evidence that the mean balance is not $75