Determine   I) the alternative hypothesis to be tested   II) the sample pooled-variances   III) the test statistic   III) The conclusion:            a) Since t=0.036 is less than t subscript 0.025 comma 12 end subscript equals 2.110, we then fail to reject the null hypothesis at 5% level of significance and conclude that the average percentage of aluminium oxide at the two sites are different.             b) Since t=0.036 is greater than t subscript 0.025 comma 12 end subscript equals 2.110 , we then fail to reject the null hypothesis at 5% level of significance and conclude that the average percentage of aluminium oxide at the two sites are not different.             c) Since t=0.036 is less than t subscript 0.025 comma 12 end subscript equals 2.110 , we then reject the null hypothesis at 5% level of significance and conclude that the average percentage of aluminium oxide at the two sites are not different.             d) Since t=0.036 is less than t subscript 0.025 comma 12 end subscript equals 2.110 , we then fail to reject the null hypothesis at 5% level of significance and conclude that the average percentage of aluminium oxide at the two sites are not different.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Determine

 

I) the alternative hypothesis to be tested

 

II) the sample pooled-variances

 

III) the test statistic

 

III) The conclusion:

 

 

 

  

 

a) Since t=0.036 is less than t subscript 0.025 comma 12 end subscript equals 2.110, we then fail to reject the null hypothesis at 5% level of significance and conclude that the average percentage of aluminium oxide at the two sites are different.

 

 

 

   

 

b) Since t=0.036 is greater than t subscript 0.025 comma 12 end subscript equals 2.110 , we then fail to reject the null hypothesis at 5% level of significance and conclude that the average percentage of aluminium oxide at the two sites are not different.

 

 

 

   

 

c) Since t=0.036 is less than t subscript 0.025 comma 12 end subscript equals 2.110 , we then reject the null hypothesis at 5% level of significance and conclude that the average percentage of aluminium oxide at the two sites are not different.

 

 

 

   

 

d) Since t=0.036 is less than t subscript 0.025 comma 12 end subscript equals 2.110 , we then fail to reject the null hypothesis at 5% level of significance and conclude that the average percentage of aluminium oxide at the two sites are not different.

An article in Sowetan involved an analysis of samples
of Soweto pottery, found at different sites in the
Craddle of humankind. The samples were analysed to
determine their chemical composition
and the
percentage of aluminum oxide in each of 9 and 10
samples at two sites shown in the table below.
Island thorn
Ashley Rails
18.3
17.7
15.8
18.3
18.0
16.7
18.0
14.8
20.8
10.2
15.4
16.9
12.02
12.03
11.01
21.22
22.00
20.6
19.1
Transcribed Image Text:An article in Sowetan involved an analysis of samples of Soweto pottery, found at different sites in the Craddle of humankind. The samples were analysed to determine their chemical composition and the percentage of aluminum oxide in each of 9 and 10 samples at two sites shown in the table below. Island thorn Ashley Rails 18.3 17.7 15.8 18.3 18.0 16.7 18.0 14.8 20.8 10.2 15.4 16.9 12.02 12.03 11.01 21.22 22.00 20.6 19.1
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