In: Statistics and Probability
The following scores are given in Periods of A, B, C, and D of a high school. Test the claim that there is a significant difference among the 4 mean scores of these 4 periods. Use a significance level of .05.
A |
B | C | D |
10 | 11 | 13 | 18 |
9 | 16 | 8 | 23 |
5 | 9 | 9 | 25 |
Step 1: Claim: Ho: Ha:
Step 2: Significance level:
Step 3: Test
Values for each required entry on calculator:
P-value:
Step 4: Decision and Reason:
Conclusion (complete sentence, in context)
Solution: The following scores are given in Periods of A, B, C, and D of a high school. Test the claim that there is a significant difference among the 4 mean scores of these 4 periods. Use a significance level of .05.
Step 1: Claim: Ho: Ha:
Answer: The null and the alternative hypotheses are given below:
At least one mean is different (claim)
Step 2: Significance level:
Answer: The significance level
Step 3: Test Values for each required entry on calculator:
Answer: To find the test value, we can use excel data anlaysis tool. The excel output is given below:
From the above table, the test statistic is:
Step 4: Decision and Reason:
Answer: Since P-value is 0.0028, which is less than the significance level 0.05, we therefore, reject the and there is sufficient to conclude that there is there is a significant difference among the 4 mean scores of these 4 periods.