TEST 4��� ELEMENTARY STATS
1. The following data contain a summary of total lipid content of salmon depending on whether the fish was cooked in water or pressure cooked.�����
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Pressure Cooked 
Water Cooked 
Mean 
5.1 
7.5 
Standard Deviation 
0.3 
0.5 
Count 
90 
110 
Based on this sample, is the true mean lipid content of pressure cooked salmon different from the true mean lipid content of water cooked salmon.� Use a 5% level of significance. (15 pt)
2. A Car Manufacturer wants to determine whether the mean acceleration of a certain model car is at most 95 m/h/h.� What can they conclude if 7 trials produced 89, 92, 98, 87, 88, 100, and 91 m/h/h.� Use a 1% level of significance. (15 pt)
3. One hundred and twenty experimental launches are made with a rocketlaunching system.� Twelve launches were successful.� At a 5% level is the true proportion of successful launches among all possible launches different from 0.1 (10 pt)
4. One hundred ten fertilized eggs were incubated for 2 weeks and One hundred fertilized eggs were incubated for 3 weeks. When a determination was made of the amount of total brain actin, the 2 week incubated eggs yielded a mean of 5.6 with standard deviation of .75, while the 3 week incubated eggs yielded a mean of 6.4 with standard deviation of 1.1.� Set an 88% confidence interval for the difference in the true mean times for 2 week and 3 week incubation periods.�� (15 pt)
5. The
following data shows the number of clients an accountant had on each day during
100 randomly picked days is as follows (15 pt)
Number
of Clients 
0 
1 
2 
3 
4 
Number
of days 
22 
16 
17 
21 
24 
This
accountant never sees more then four clients on any day.� It is theorized that the number of clients on
each day is equally likely.� If this is
true, does this sample fit at a 5% level.
6. A
survey was conducted in

NY 
LA 
SF 
FAVOR 
72 
65 
80 
OPPOSE 
20 
20 
15 
NO
OPINION 
8 
15 
5 
At a .05
level, test the cities for the homogeneity of attitude toward a federal flat
tax rate.
7.
Measurements of the height of avocado trees and amount of fertilizer applied
for a one month period are gathered from different farms across the county (15
pt)
Height 
Fertilizer
applied 
8 
9 
6 
6 
13 
4 
9 
5 
10 
4 
4 
10 
4 
8 
5 
7 
Plot scatter
diagram then find the regression line from which we can predict fertilizer
applied from height then graph the regression line.