Question

A. ​There are 6 Intro Statistics classes (say, groups) each with 15 students offered in the SP 2020 semester of a university. All the classes are taught by new graduate teaching assistants. The head of the department of Statistics wants to see if at least one class is significantly different from the overall instructional style. He decided to do an ANOVA F-test for the test marks. The ratio of variance between groups to variance within groups is 2.71. The P value of the test should be:         

1. 0.0034
2. 0.1315
3. 0.0255

B. The dynamic viscosity of the engine oil SAE 5W-40 at 0 Celsius follows a Uniform Distribution from 740 to 760 millipascal-seconds.

1. Take 16 samples of engine oil SAE 5W-40 and examine the dynamic viscosities at 0 Celsius: what should be the distribution of the mean dynamic viscosity? (You must define all the required parameters, and give the distribution in standard notations)  

2. For the 16 samples taken in step (d), what should be the probability that the sample mean dynamic viscosity is greater than 755 millipascal-seconds?   

Answer 1

a positive Latig? & 2 Please give tos & test prake 0)315 Should be 9+6 7 60+740 2 2 ECX)42 2 i 500 11 - 750 (6-a)2 12 (766-74072 12 72 --5% SE=0 400 12 5.7735

using central limit theorem 35 P (x > 755) P(X-M 755-750 > 34 ) 6.7935/ زاره ) 2-x-4 ~N(0,1) - P(27 443578) P(Z) 3.4641) 0.0003