Question

Is a statistics class' delivery type a factor in how well students do on the final exam? The table below shows the average percent on final exams from several randomly selected classes that used the different delivery types. Hybrid Online Face-to-face 55 79 62 55 57 57 61 82 84 99 89 68 56 64 83 57 80 63 81 83 94 58 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of a = 0.01. H: M = M2 = us H: At least two of the means differ from each other. 1. For this study, we should use Select an answer 2. The test-statistic for this data - (Please show your answer to 3 decimal places.) 3. The p-value for this sample - (Please show your answer to 4 decimal places.) 4. The p-value is Select an answer 5. Base on this, we should Select an answer hypothesis 6. As such, the final conclusion is that... There is sufficient evidence to support the claim that course delivery type is a factor in final exam V CE score There is insufficient evidence to support the claim that course delivery type is a factor in final exam score. Hint: Helpful Video [+] Textbook Pages Help Get Help:

Answer 1

(1)

For this tudy, we should use One Way ANOVA

(2)

The test statistic for this data = 1.227

(3)

The p - value for this sample = 0.3153

(4)

The p - value is greater than $\alpha$ .

(5)

Based on this, we should fail to reject null hypothesis.

(6)

Correct option:

There is insufficient evidence to support the claim that course delivery typeis a fector in final score

Explanation:
From the given data, the following Table is calculated:

	Hybrid	Online	Face - to face	Total
N	8	7	7	22
$\sum X$	522	534	511	1567
Mean	65.25	76.2857	73	71.227
$\sum X^{2}$	35882	41520	38467	115869
Std. Dev.	16.1312	11.4268	13.9284	14.2359

From the above Table, ANOVA Table is calculated as follows:

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	Test Statistic F	P - Valu
Between treatments	486.9351	2	486.9351/2=243.4675	243.4675/198.3647=1.227	0.3153
Within treatments	3768.9286	19	3768.9286/19=198.3647
Total	4255.8636	21