a.
Fill the missing values.
a.
Answer to Problem 93SE
The missing values are as follows,
Explanation of Solution
Given info:
A computer output is provided for two sample T-test.
Calculation:
Test statistic:
Software procedure:
Step-by-step software procedure to obtain the test statistic and P-value using MINITAB software is as follows,
- Choose Stat > Basic Statistics > 2-Sample t.
- Select Summarized data.
- In Sample 1, enter
Sample size as 20, Sample Mean as 11.87 and standard deviation as 2.23. - In Sample 2, enter Sample size as 20, Sample Mean as 12.73 and standard deviation as 3.19.
- Choose Options.
- In Confidence level, enter 95.
- In Alternative, select not equal.
- Select Assume equal variances.
- Click OK in all the dialogue boxes
Thus, the test statistic is –0.99 and the P-value is 0.329.
b.
Check whether it is a two-sided test or one-sided test.
b.
Answer to Problem 93SE
The test is two-sided test.
Explanation of Solution
Justification:
From the MINTAB output in part (a), it is observed that the alternative hypothesis is,
Thus, this is a two-sided test.
c.
Explain the conclusion when
c.
Answer to Problem 93SE
The null hypothesis is not rejected in both the cases.
Explanation of Solution
Justification:
For
Conclusion:
From the MINITAB output in part (a), the P-value 0.329 is greater than the significance level 0.05.
That is,
Hence the null hypothesis is not rejected.
For
Software procedure:
Step-by-step software procedure to obtain the test statistic and P-value using MINITAB software is as follows,
- Choose Stat > Basic Statistics > 2-Sample t.
- Select Summarized data.
- In Sample 1, enter Sample size as 20, Sample Mean as 11.87 and standard deviation as 2.23.
- In Sample 2, enter Sample size as 20, Sample Mean as 12.73 and standard deviation as 3.19.
- Choose Options.
- In Confidence level, enter 90.
- In Alternative, select not equal.
- Select Assume equal variances.
- Click OK in all the dialogue boxes
Output using the MINITAB software is as follows,
Conclusion:
Here the P-value 0.329 is greater than the significance level 0.10.
That is,
Hence the null hypothesis is not rejected
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