Question
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table:
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations.(You may find it useful to reference the appropriate table:ztableorttable) H0:12 0 HA:12< 0
x1x1= 261 | x2x2= 267 |
s1= 30 | s2= 18 |
n1= 12 | n2= 12 |
Calculate the value of the test statistic under the assumption that the population variances are equal.(Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.)
Find thep-value. multiple choice 1
- p-value < 0.01
- 0.01 p-value < 0.025
- 0.025 p-value < 0.05
- 0.05 p-value < 0.10
- p-value 0.10
Do you reject the null hypothesis at the 5% level? multiple choice 2
- Yes, since the value of thep-value is less than the significance level.
- No, since the value of thep-value is less than the significance level.
- No, since the value of thep-value is greater than the significance level.
- Yes, since the value of thep-value is greater than the significance level.
Interpret the results at= 0.05. multiple choice 3
- We conclude that the population means differ.
- We cannot conclude that the population means differ.
- We conclude that population mean 1 is less than population mean 2.
- We cannot conclude that population mean 1 is less than population mean 2.
Calculate the value of the test statistic under the assumption that the population variances are unknown and are not equal.(Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Find thep-value. multiple choice 4
- p-value < 0.01
- 0.01 p-value < 0.025
- 0.025 p-value < 0.05
- 0.05 p-value < 0.10
- p-value 0.10
Do you reject the null hypothesis at the 5% level? multiple choice 5
- Yes, since the value of thep-value is less than the significance level.
- No, since the value of thep-value is greater than the significance level.
- Yes, since the value of thep-value is greater than the significance level.
- No, since the value of thep-value is less than the significance level.
Interpret the results at= 0.05. multiple choice 6
- We conclude that the population means differ.
- We cannot conclude that the population means differ.
- We conclude that population mean 1 is less than population mean 2.
- We cannot conclude that population mean 1 is less than population mean 2.
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