What is one beneficial thing about using estimation

Mathematics

2 answers:

Dima020 [189]4 years ago

7 0

You can use it to check your answer

kykrilka [37]4 years ago

4 0

One thing that is beneficial about using estimation is that if your answer is wrong, estimating the 2 numbers would give you a reason to know that this answer you found is nowhere close to your estimated answer. Then you are able to change your answer and the reason you did that was that because of estimating.

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A student believes that the average grade on the statistics final examination was 87. A sample of 36 final examinations was take

Fed [463]

Answer:

The p-value for this test is 0.1375.

Step-by-step explanation:

A student believes that the average grade on the statistics final examination was 87. The student wants to test whether the average is different from 87 at 90% level of confidence.

At the null hypothesis, we test if the average is 87, that is:

$H_0: \mu = 87$

At the alternate hypothesis, we test if the average is different from 87, that is:

$H_a: \mu \neq 87$

The test statistic is:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $s$ is the standard deviation of the sample and n is the size of the sample.