z-(485.50) , (2.5 10)--1.90 Z-(515.50) 1 (25/v10) = + 1.90 PQs-190) + P (z»1.90)

Question

z-(485.50) , (2.5 10)--1.90 Z-(515.50) 1 (25/v10) = + 1.90 PQs-190) + P (z»1.90) = 00574 (the sum of the two tails) Therefore, the probability of rejection of the null hypothesis, as well as the likelihood of rejection and wrongly rejection is 5.74%. Questions 1. If you change the sample size to 36 samples, the probability of rejecting the null hypothesis and committing type I error is higher? a True b False 2. If you change the sample size to 4 samples, the probability of rejecting the null hypothesis and committing type I error is higher? a True b False 3. Why do you think that the size is important in hypothesis testing? Answer in your own words

Explanation / Answer

Solution:

Step 1 of 4:

Here we are given with probability of rejecting the null gypothesis at n=10.

using this we need to obtain the required values.

Step 2 of 4:

1.

If we change the n into n=36, the probability of rejecting null hypothesis decreases.

Thus the amswer is false.

step 3 of 4:

2.

If n=4, then the probability of rejecting the null hypothesis increases.

thus, the answer is True.

Step 4 of 4;

3.

The sample size is important in hypothesis testing because as the sample size increaes, the sample mean approximates the population mean and the variance in the sample decreases.

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