Paulinesanmiguelidn
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A researcher conducted a study wherein he asked the students’ math mean score of 20 students of grade 7-Einstein and compared it to the math mean score of the whole Grade 7 of the school. The mean score of the grade 7-Einstein is 88 while the mean score of the whole Grade 7 is 94 with a standard deviation of 15. Assume 90% level of confidence.

ASAP PO PLSSS

Sagot :

Kenjinxidn

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[tex]\rm{\huge{ANSWER:}}[/tex]

1. Calculate the t-statistic:

- t = (μ1 - μ2) / √((σ1^2 / n1) + (σ2^2 / n2))

- t = (88 - 94) / √((15^2 / 20) + (15^2 / 540))

- t ≈ -1.67

2. Determine the critical t-value:

- Using a t-table or calculator, find the critical t-value for a 90% level of confidence and the degrees of freedom (df = 560).

3. Compare the t-statistic to the critical t-value:

- Since the t-statistic (-1.67) is less than the critical t-value (approximately 1.65), the difference between the means is not statistically significant at the 90% level of confidence.

[tex]\boxed{\sf\green{✓}}[/tex].Therefore, the difference in mean scores between Grade 7-Einstein and the whole Grade 7 is not statistically significant at the 90% level of confidence.

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