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)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Question

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

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