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 rocket-launching 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 New York, Los Angeles, and San Francisco.When 100 people were interviewed in each of these cities as to whether they favored a federal flat tax rate, the follow responses were obtained. (15 pt)

 

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.


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