Question

In: Statistics and Probability

The following scores are given in Periods of A, B, C, and D of a high...

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)

Solutions

Expert Solution

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.


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