Question

Due Sunday. Apr 14 All answers will be saved automatically pm PDT All Question1 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 coll classes and the dataset is provided below. lects random data for time to complete the standardized test (in minutes) for students in three different 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 answr to 2 decimal places) Class A Class B Class C 107 93 89 2 75 109 101 102 81 103 87 120 96 112 89 103 112 98 101 82 82 107 101 114 ⓘ Help O Help O Copy to Clipboard Downioad CSV uul aiswer to 2 decimal places) Class A Class B Class C 83 79 81 91 92 90 93 90 79 93 91 102 102 103 95 104 97 83 91 94 113 98 104 106 Help Copy to Clipboard Download CSV 104 95 100 94 107 103 97 98 83 98 85 103 98 107 106 91 101 86 O Help Copy to Clipboard Download CS OHelpCopy to Clipboard Download CSV Provide your answer below: Test Statistic □ P-value= Content attribution Question 2 MacBook A

Answer 1

Solution:-

Anova: Single Factor SUMMARY Groups Count Class A Class B Class C 25 25 25 SumAverage Variance 95 246798.68110.81 98.08 150.66 2280 91.2 2452 ANOVA Source of Variation Between Groups Within Groups MS P-value F crit 863.7067 8555.28 2 431.8533 3.634415 0.0313533.123907 72 118.8233 Total 9418.987 74

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: u₁ = u₂ = u₃

Alternative hypothesis: At-least one of the u is not equal.

Formulate an analysis plan. For this analysis, the significance level is 0.05.

Analyze sample data.

F statistics is given by:-

MSB MSE

F = 3.634

F_critical = 3.123

The P-value = 0.0314

Interpret results. Since the P-value (0.0314) is less than the significance level (0.05), we have to reject the null hypothesis.

Conclusion:-

Reject H₀, There is sufficient evidence for significant differences between the three classes.