To compute the type 1 error of hypothesis testing lets vary the sample size of t

Question

To compute the type 1 error of hypothesis testing lets vary the sample size of the textbook example of the mean burn of the sample of propellants. Remember that in the textbook example if the mean sample result is less than 48 5 cm l sec we reject the nu hypothesis Tre same a ens i he resu the mean sample is greater than 51.5 we reject the null hypothesis. The question was, what is the probability of rejecting the null hypothesis? Using the equation of the central limit theorem and the concepts of the normal distribution we made the following computation Z - (485-50)/(2.5/V10)--1.90 Z (51.5-50)/(2.5/10)+1.90 P(Z-1.90) P(Z>1.90) 0.0574 (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 Why do you think that the size is important in hypothesis testing? Answer in your own words

Explanation / Answer

(1) TRUE

(2) FALSE

(3) I think that Size is important in hypothesis testing because on the basis of sample size , we calculate degree of freedom and corresponding to this degree of freedom we calculate the critical value of test at given level of significance. therefore size is an important factor.

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