##### Question

In: Statistics and Probability

# An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and...

 Type of Ride Roller Coaster Screaming Demon Long Flume Method 1 42 54 46 44 46 42 Method 2 47 53 49 49 49 45

Set up the ANOVA table (to whole number, but -value to 2 decimals and value to 1 decimal, if necessary).

 Source of Variation Sum of Squares Degrees of Freedom Mean Square -value Factor A Factor B Interaction Error Total

## Solutions

##### Expert Solution

Solution:

It is a case of two way ANOVA with replication. we can perform ANOVA using EXCEL which is as follows.

Step to perform 2 way ANOVA with replication

• Enter the data into the worksheet
• DATA > Data Analysis > ANOVA: two factors with replication
• Select the Data into Input Range:
• Choose Rows per sample: 2 (2-row replicate for method 1 and method 2 each)
• Click OK on each dialogue box.

The Excel output is as follows:

 ANOVA Source of Variation SS df MS F P-value F crit Sample 8 1 8 0.571429 0.491767 7.708647 Columns 50 1 50 3.571429 0.131778 7.708647 Interaction 2 1 2 0.142857 0.724659 7.708647 Within 56 4 14 Total 116 7

In the context of your problem:

 ANOVA Source of Variation Sum of Square Degrees of Freedom Mean Square F P-value F crit Factor 1 8 1 8 0.571429 0.491767 7.708647 Factor 2 50 1 50 3.571429 0.131778 7.708647 Interaction 2 1 2 0.142857 0.724659 7.708647 Error 56 4 14 Total 116 7