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stepan [7]
2 years ago
15

A revenue department is under orders to reduce the time small business owners spend filling out pension form ABC-5500. Previousl

y the average time spent on the form was 5.2 hours. In order to test whether the time to fill out the form has been reduced, a sample of 60 small business owners who annually complete the form was randomly chosen, and their completion times recorded. The mean completion time for ABC-5500 form was 4.5 hours with a standard deviation of 1.6 hours.
Required:
In order to test that the time to complete the form has been reduced, state the appropriate null and alternative hypotheses.
Mathematics
1 answer:
Goshia [24]2 years ago
4 0

Considering the situation described, we have that:

  • The appropriate null hypotheses is H_0: \mu = 5.2.
  • The appropriate alternative hypotheses is H_1: \mu < 5.2.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, it is tested if the mean has not been reduced, that is, it still is of 5.2 hours, hence:

H_0: \mu = 5.2.

At the alternative hypothesis, it is tested if the mean has been reduced, that is, it is now of less than 5.2 hours, hence:

H_1: \mu < 5.2

More can be learned about hypotheses tests at brainly.com/question/26454209

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