Statitsics Questions

1. In order to test whether the average time required to mix a batch of a material is the same if

uses the machines of 3 manufacturers, a study was conducted in which the following data is obtained (

in minutes) required to mix the material.

 

Manufacturers

1	2	3
20	28	20
26	36	19
14	31	33
22	27	22

 

1. Write the corresponding hypothesis test.
2. With 95% confidence, what is the value of “α”.
3. Calculate the test statistic (this is achieved by writing the ANOVA table).
4. Determine the decision rule.
5. Issue your conclusions.
6. With 95% confidence, use the Fisher LSD procedure to determine the differences in, Mixing time between the 3 machines. Write the entire hypothesis testing procedure.

 

2. Design of randomized blocks: We want to determine if a review program for the examination of

“College Board” is useful for students. This is why 6 students have been selected

and his grades were recorded in the reading, math and writing sections.

 

student	Reading	Mathematics	Writing
1	556	534	530
2	594	560	486
3	465	564	445
4	461	566	553
5	436	578	530
6	530	458	520

 

1. Write the corresponding hypothesis test.
2. With 95% confidence, what is the value of “α”.
3. Calculate the test statistic (this is achieved by writing the ANOVA table).
4. Determine the decision rule.
5. Issue your conclusions.

 

3. Factorial design: An amusement park studied some methods to reduce waiting time (in minutes) when downloading and uploading game users. Two methods were proposed to perform these chores. To consider the potential differences due to the type of game and the interaction that can exist between the type of game and the method of raising and lowering passengers, an experiment was designed factorial. With 95% confidence, determine if there is a significant effect due to the upload method and download passengers, either a main effect or interaction.

 

Games

	Roller coaster	Wheel of Fortune	Slide
Method 1	51	42	50
	33	44	56
Method 2	39	50	48
	41	56	44

 

1. Write the Anova table.
2. Analyze the “Method” factor using the corresponding hypothesis test analysis.
3. Analyze the “Game” factor using the corresponding hypothesis test analysis.
4. Analyze the method-game interaction factor using the corresponding test analysis of hypothesis.