{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

418-Test1-Practice-singlesampleT

# 418-Test1-Practice-singlesampleT - SD population =unknown...

This preview shows pages 1–4. Sign up to view the full content.

1 Single Sample t-Test Research Question : Does my class have a good grasp of basic math? The average teenager scores approximately 70 on a basic math test. Research Hypothesis My class will score better than the average teenager Design Randomly sample six people in class Administer basic math test Each person takes the test only once Math scores in the sample are normally distributed

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 X X X X X State Hypotheses, Set Criterion H0: Mean class Mean population Ha: Mean class > Mean population 2-tailed alpha of .05 μ x = μ S x X X X X X Rejection Region (Mean class - Mean popul > 0) . DATA Class sample: 62,92,75,68,83,95 n = 6; df = 5 Mean sample =79.17 SD sample =13.17 Mean population =70

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: SD population =unknown Finding the Critical Value of t 2-tailed, alpha=.05 df=n-1=5 S x X X X X X μ x = μ X X X X X 3 Critical Value of t 2-tailed, alpha=.05 df=n-1=5 t crit =2.571 S x X X X X X μ x = μ X X X X X Calculate Observed t t obs = (79.17-70)/5.38 = 9.17/5.38 = 1.70 s x = s / n =13.17/ 6 = 13.17/2.45 = 5.38 4 Make a Decision t crit =2.571 t obs =1.70 t obs < t critical Results are NOT statistically signiﬁcant We cannot reject H0 ⇒ we FAIL to infer support for Ha My class is not better than the average teenager in basic math ability S x X X X X X μ x = μ X X X X X...
View Full Document

{[ snackBarMessage ]}