To see whether silicon chip sales are independent of where the XYZ country's economy is in the business cycle, data have been collected on the weekly sales of ABC firm, and on whether the economy was rising to a cycle peak, at a cycle peak, falling to a cycle trough, or at a cycle trough. The results are given in the table below. State the null and alternative hypotheses. Calculate the appropriate test statistic and conduct the test of hypothesis at 0.01 level of significance, what is your conclusion? WEEKLY CHIP SALES Total High Medium Economy At Peak Low 30 11 50 At Trough Rising Falling 45 60 45 150 30 12 11 53 45 12 14 71 Total 150 95 78 323

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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Q1
To see whether silicon chip sales are independent of where the XYZ country's economy is in the
business cycle, data have been collected on the weekly sales of ABC firm, and on whether the
economy was rising to a cycle peak, at a cycle peak, falling to a cycle trough, or at a cycle trough.
The results are given in the table below. State the null and alternative hypotheses.
Calculate the appropriate test statistic and conduct the test of hypothesis at 0.01 level of
significance, what is your conclusion?
WEEKLY CHIP SALES
Total
High Medium
Economy
At Peak
Low
30
11
9
50
At Trough
Rising
Falling
45
60
45
150
30
12
11
53
45
12
14
71
Total
150
95
78
323
A research company has designed three different systems to clean up oil spillages. The following
table contains the results, measured by how much surface area (in square meters) is cleared in 1
hour. The data were found by testing each method in several trials. Is there any significant
difference in the testing of effectiveness of the three systems? Use the 0.05 level of significance.
Q2
System A
|System System C
163
165
174
168
161
160
171
172
169
164
157
165
167
170
163
Transcribed Image Text:Q1 To see whether silicon chip sales are independent of where the XYZ country's economy is in the business cycle, data have been collected on the weekly sales of ABC firm, and on whether the economy was rising to a cycle peak, at a cycle peak, falling to a cycle trough, or at a cycle trough. The results are given in the table below. State the null and alternative hypotheses. Calculate the appropriate test statistic and conduct the test of hypothesis at 0.01 level of significance, what is your conclusion? WEEKLY CHIP SALES Total High Medium Economy At Peak Low 30 11 9 50 At Trough Rising Falling 45 60 45 150 30 12 11 53 45 12 14 71 Total 150 95 78 323 A research company has designed three different systems to clean up oil spillages. The following table contains the results, measured by how much surface area (in square meters) is cleared in 1 hour. The data were found by testing each method in several trials. Is there any significant difference in the testing of effectiveness of the three systems? Use the 0.05 level of significance. Q2 System A |System System C 163 165 174 168 161 160 171 172 169 164 157 165 167 170 163
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