Hey, I need help in following Questions. Plz help HW2 Solid Due date, no excepti

Question

Hey, I need help in following Questions. Plz help

HW2 Solid Due date, no exceptions (2 pts) As usual, please submit reject or not reject for each question. The answers should be submitted in the comment section. The deadline associated with this homework will not matter for your completion of this section. The comment section is accessible Test the claim that the mean diameter of one patch of manufactured bolt is the same as another one Sample A: 100 bolts with sample mean 29.84, standard deviation 0.08 Sample B: 100 bolts with sample mean 30, standard deviation 0.08 Tolerate type I error 0.05 Question 1: Two random samples are taken from the two production lines, The two production lines have the same population standard deviation. Complete the test using critical value method Question 2: Two random samples are taken from two production lines, The two production lines have two different population standard deviations. Complete the test using critical value method. Question 3: Two samples are taken from the same production line, one before the machine adjustment and one after. Complete the test using critical value method

Explanation / Answer

question (1) here we use t-test with

null hypothesis H0: mean A=mean B

alternate hypothesis H1: mean A is not = mean B (two tailed test) and

t=|(mean1-mean2)|/((sp*(1/n1 +1/n2)1/2) and sp2=((n1-1)s12+(n2-1)s22)/n and with df is n=n1+n2-2

calculated t=14.14 is more than two tailed critical t(0.05,198)=1.97 so we reject H0 and conclude that mean patch of A and B is not same as one another

t-test sample mean s s2 n (n-1)s2 A 29.84 0.08 0.0064 100 0.6336 B 30 0.08 0.0064 100 0.6336 0.0128 200 1.2672 sp2= 0.0064 sp= 0.08 t= 14.14213562

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