1. Do you think there is any possible relationship between the grade of Mathematics (x) and English (y)? Make the all possible calculations you need to answer this question. Use a=0.05 to do a t test.
Mathematic 
70 92 80 74 65 83 
English 
74 84 63 87 78 90 
Instructions
0. Hypothesis
1. Procedure
2. Results
2. Assume X is normally distributed with mean of 5 and a standard deviation of 4. Determine the following.
a) P(X<11)
b) P(X >0)
c) P(3<X<7)
d) P(2<x<9)
Instructions
1. Procedure
2. Results
3. To find out whether a new serum will arrest leukemia, 9 mice, which have all reached an advanced stage of the disease, are selected. Five mice receive the treatment and 4 do not. The survival times, in years, from the time experiment commenced are as follows:
Treatment 
2.1 5.3 1.4 4.6 0.9 
No treatment 
1.9 0.5 2.8 3.1 
At 0.05 level of significance can the serum be said to be effective?
Instructions
0. Hypothesis
1. Procedure
2. Results
4.Three cards are drawn from an ordinary deck of playing cards, with replacement, and the number Y of spades is recorded. After repeating the experiment 64 times, the following outcomes were recorded:
x 
0 1 2 3 
frequency 
21 31 12 0 
Test the hypotheses of 0.01 level of significance that the recorded data may be fitted by the Poisson with l = 1.2
Instructions
0. Hypothesis
1. Procedure
2. Results
5.
Ozone (x) 
0.80 
1.3 
1.7 
2.2 
2.7 
2.9 
NO_{3 }(y) 
2.25 
5.21 
6.07 
9.10 
10.05 
12.16 
Fill the blanks
Analysis of Variance
Source 
Sum Square 
DF 
MS 
f_{0} 
Regression 
64.126 



Error 


0.375 

Total 




b) The following graph represent the Ozone vs NO_{3}. What can you say about this graph?
6. You have known ACME for a long time or just for reference; well YOLI is the new innovation in running shoe for ACME. And EL COYOTE is going to test it. They produce at least every day 1000 pair of YOLI in order to satisfy customers demand. The weight of this sophisticated running shoe is normally distributed with mean of 12.25 ounces and a variance of 0.25 ounce.
What is the probability that a shoe weights more than 13 ounces?
What is the probability that a shoe weights between 11.50 and 12.95?
What must the standard deviation of weight be in order for the company to state that 99.9% of its shoes are less than 13 ounces?
Instructions
1. Procedure 8 points
2. Results 4 points
Subject  Science 
Due By (Pacific Time)  11/21/2013 05:00 pm 
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