When people learn a new task, their performance usually improves when they are tested the next day, but only if they get 6 hours sleep (Sticckgold, et al., 2000). The following data demonstrate this phenomenon. The participants learned
When people learn a new task, their performance usually improves when they are tested the next day, but only if they get 6 hours sleep (Sticckgold, et al., 2000). The following data demonstrate this phenomenon. The participants learned
When people learn a new task, their performance usually improves when they are tested the next day, but only if they get 6 hours sleep (Sticckgold, et al., 2000). The following data demonstrate this phenomenon. The participants learned
When people learn a new task, their performance usually improves when they are tested the next day, but only if they get 6 hours sleep (Sticckgold, et al., 2000). The following data demonstrate this phenomenon. The participants learned a visual discrimination task on one day. Half of the participants were allowed to have at least 6 hours of sleep and the other half were kept awake all night.
6 hours sleep No sleep
n =14 n = 14
M = 72 M =65
SS = 932 SS = 706
Is there a significant difference between the two conditions? Use a two-tailed test with α = .01.
n =
df1 + df2
M1=
M2=
μ1-μ2 =
SS1 + SS2=
s2p =
S(M1-M2) =
Hypothesis:
Locate critical region for stated alpha:
Compute test statistic:
Make a decision about the null hypothesis and state a conclusion:
Transcribed Image Text:**Table Explanation:**
This table provides values of the t statistic for different degrees of freedom (df) and proportions in one tail or two tails combined. The values in the table are crucial for statistical testing, particularly in determining critical values for t-tests.
**Graphs:**
1. **One Tail (either right or left):**
- A bell curve representing a normal distribution with shading on one tail. This shading indicates the proportion of the distribution that falls in the tail for a specified alpha level.
2. **Two Tails Combined:**
- A bell curve representing a normal distribution with shading on both tails. This shows the combined proportion of the distribution tails, relevant for two-tailed tests.
**Table Structure:**
- **Columns:**
- Proportions in One Tail: 0.25, 0.10, 0.05, 0.025, 0.01, 0.005 (indicating different alpha levels for one-tailed tests).
- Proportions in Two Tails Combined: 0.50, 0.20, 0.10, 0.05, 0.02, 0.01 (indicating different alpha levels for two-tailed tests).
- **Rows:**
- Degrees of Freedom (df): Ranges from 1 to 120.
For instance, for 10 degrees of freedom (df=10), the t-values are:
- **One Tail:**
- 0.25: 0.700
- 0.10: 1.372
- 0.05: 1.812
- 0.025: 2.228
- 0.01: 2.764
- 0.005: 3.169
- **Two Tails:**
- 0.50: 0.683
- 0.20: 1.372
- 0.10: 1.812
- 0.05: 2.228
- 0.02: 2.764
- 0.01: 3.169
**Source:**
Table III of Fisher, R. A., & Yates, F. (1974). *Statistical Tables for Biological, Agricultural and Medical Research* (6th ed.). London: Longman Group Ltd
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