1. Three hospitals have provided the weights of their premature babies. Each hospital has had 10 premature babies. The between group sum of squares is 472. and the within group sum of squares is 259. which of the below is the F-statistics? 18.5, 30.8. 36.9 or 24.6

2. You are working on protein expression of a gene and have obtained the following values: 10,9,1,3 which is the best match for the variance? 14.7, 24.5, 29.4 or 19.6

3. In a 2 x 2 table, your observed values (O1 to O4) are as follow: 120,190,140,200. You manage to calculate the expected values (E1 to E4) as follow 124,186,136,204. Calculate the Chi-square test statistic.

4. Annual amount of drinking water for a group of monkeys are given as follow: 767,188,380 How much water do these monkeys drink on average?

5. You are given values from a gene expression profile as follow: 332,640,463,289,700,348,797 which shows the correct standard deviation? 252.2, 201.8, 302.7 or 151.4

6. Two different labs have measured Erythrocyte Sedimentation rates for 7 patients. Lab 1 is given a mean of 648 and a variance of 25218. Lab 2 has given a mean of 436 and a variance of 9205 with this information which is the best match for t-value? 3, 3.8, 4.5, 2.2

7. three groups of mice each including 10 mice are compared for their sleep duration. F=8.2. F distribution table shows 27 and 2 degrees of freedom cross at 3.35. Are these mice different in terms of their sleep duration?

8. The t-distribution table shows a value of 1.72 for error of 0.05 and 22 degrees of freedom. We have data with 2 samples with 12 participants each. the t-value is 2.3. What do you infer about the difference in the means of the two samples?

Please show working out so I can understand. Thank you.