Question

A high school teacher is interested to compare the average time for students to complete a standardized test for three different classes of students.       

The teacher collects random data for time to complete the standardized test (in minutes) for students in three different classes and the dataset is provided below.    

The teacher is interested to know if the average time to complete the standardized test is statistically the same for three classes of students. Use a significance level of 5%.

The teacher has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal.

(a) calculate the Test Statistic for this example (round your answer to 2 decimal places)

(b) calculate the P-value for this example (round your answer to 2 decimal places)

Class A	Class B	Class C
111	120	107
75	96	93
109	112	89
101	89	117
102	103	82
81	112	64
103	98	107
87	101	101
88	82	114
83	79	111
81	91	88
91	102	102
92	103	94
90	95	84
93	104	113
90	97	98
79	83	104
93	91	106
77	104	85
98	95	103
83	100	98
98	94	88
88	107	107
101	103	106
86	97	91

Answer 1

Dear well explained solution is also provided... Please THUMBS UP... Thanks in advance for your support and love.

This is a case of One Way ANOVA test.

a) Test statistic = F ratio = 3.64

b) P value = 0.03

Conclusion : Since p value is less than 0.05 , the test is significant. So we have enough evidence to reject null hypothesis. I.e, the average time to complete the standardized test is statistically different for these three classes

ANOVA Calculation is given below