The following data are on the dental measurements (distance in mm from the center of the pituitary to the pterygomaxillary fissure of 11 girls and 16 boys, all of whom were 16 years of age. Girls Boys 23.0 31.0 25.5 26.5 26.0 27.5 26.5 27.0 23.5 26.0 22.5 28.5 25.0 26.5 24.0 25.5 21.5 26.0 19.5 31.5 28.0 25.0 28.0 29.5 26.0 30.0 25.0 Reference SAS image to answer following questions 1. A. What are the appropriate null and alternative hypotheses for this research question using the appropriate population parameter(s) for SAS output for a t-test? b. Based on the output, which p-value tests the following hypotheses if you want to use a two-sample independent pooled t-test? Provide the specific test statistic and p-value. 2. From the output, what is the estimate of the pooled standard deviation?
- The following data are on the dental measurements (distance in mm from the center of the pituitary to the pterygomaxillary fissure of 11 girls and 16 boys, all of whom were 16 years of age.
Girls |
Boys |
23.0 |
31.0 |
25.5 |
26.5 |
26.0 |
27.5 |
26.5 |
27.0 |
23.5 |
26.0 |
22.5 |
28.5 |
25.0 |
26.5 |
24.0 |
25.5 |
21.5 |
26.0 |
19.5 |
31.5 |
28.0 |
25.0 |
|
28.0 |
|
29.5 |
|
26.0 |
|
30.0 |
|
25.0 |
Reference SAS image to answer following questions
1.
A. What are the appropriate null and alternative hypotheses for this research question using the appropriate population parameter(s) for SAS output for a t-test?
b. Based on the output, which p-value tests the following hypotheses if you want to
use a two-sample independent pooled t-test? Provide the specific test statistic and p-value.
2. From the output, what is the estimate of the pooled standard deviation?
3. From the output, what is the standard error for the average difference in dental measurements in the population oof 16 year old boy and 16 year old girls (assume the population variances are equal)?
4. From the output, interpret the 95% confidence interval for the true average difference in dental measurements in the population oof 16 year old boy and 16 year old girls (assume the population variances are equal)?
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