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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. Face-to-Face Hybrid | Online 76 99 72 65 59 96 63 71 66 82 99 99 65 73 100 65 100 85 64 94 76 75 57 Assume that all distributions are normal, the three population standard deviations are all the same, the data was collected independently and randomly. Use a level of significance of = 0.1. and Ho: µi = µ2 = µ3 H1: At least two of the means differ from each other.

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. Face-to-Face Hybrid | Online 76 99 72 65 59 96 63 71 66 82 99 99 65 73 100 65 100 85 64 94 76 75 57 Assume that all distributions are normal, the three population standard deviations are all the same, the data was collected independently and randomly. Use a level of significance of = 0.1. and Ho: µi = µ2 = µ3 H1: At least two of the means differ from each other.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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. Face-to-Face Нybrid Online 76 99 72 65 59 96 63 71 66 82 99 99 65 73 100 65 100 85 64 94 76 75 57 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 = = 0.1. Ho: µ1 = l2 = µ3 H1: At least two of the means differ from each other. 1. For this study, we should use ANOVA 2. The test-statistic for this data = 1.650 (Please show your answer to 3 decimal places.) 3. The p-value for this sample : 0.2113 X (Please show your answer to 4 decimal places.) 4. The p-value is ( less than (or equal to) alpha 5. Base on this, we should reject the null hypothesis hypothesis 6. As such, the final conclusion is that... O There is sufficient evidence to support the claim that course delivery type is a factor in final exam score. | There is insufficient evidence to support the claim that course delivery type is a factor in final exam score.
Transcribed Image Text: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. Face-to-Face Нybrid Online 76 99 72 65 59 96 63 71 66 82 99 99 65 73 100 65 100 85 64 94 76 75 57 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 = = 0.1. Ho: µ1 = l2 = µ3 H1: At least two of the means differ from each other. 1. For this study, we should use ANOVA 2. The test-statistic for this data = 1.650 (Please show your answer to 3 decimal places.) 3. The p-value for this sample : 0.2113 X (Please show your answer to 4 decimal places.) 4. The p-value is ( less than (or equal to) alpha 5. Base on this, we should reject the null hypothesis hypothesis 6. As such, the final conclusion is that... O There is sufficient evidence to support the claim that course delivery type is a factor in final exam score. | There is insufficient evidence to support the claim that course delivery type is a factor in final exam score.
Expert Solution
Step 1

1.

Since the means of more than two groups have to be compared ANOVA has to be used. Thus, ANOVA should be used for this study.

2.

The ANOVA is conducted by using EXCEL. The software procedure is given below:

  • Enter the data.
  • Select Data > Data Analysis >ANOVA: Single Factor> OK.
  • Enter Input Range as A1:C9.
  • Mark Labels in First Row.
  • Enter Alpha as 0.10.
  • Click OK.

The output using EXCEL is as follows:

Statistics homework question answer, step 1, image 1

From the output, the test statistic value is 2.606.

Thus, the test statistic is 2.606.

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