Question

Once you have answered all the questions you have to send the work the Attach File function in Black Board to attach your document and send it to the professor. To use the Attach File enter the Course Content in Black Board. Select the Assignment Module 8, attach the file and submit. 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/sec, we reject the null hypothesis. The same happens if the result of 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. 48.5-50=-1.90 2.5 10 515-50+1.90 2.5 V10 RZg > 1.190) = 0.0287 P(Z1-1.90)-0.0287 Probability is 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 3. Why do you think that the size is important in hypothesis testing? Answer in your own words.

Answer 1