To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 17 31 25 23 29 24 21 34 28 19 30 27 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use . Compute the values below (to 2 decimals, if necessary). Sum of Squares, Treatment ________ Sum of Squares, Error _____________ Mean Squares, Treatment ______________ Mean Squares, Error ___________________ Calculate the value of the test statistic (to 2 decimals). ____________ The p-value is - Select your answer - less than .01, between .01 and .025, between .025 and .05, between .05 and .10, greater than .10 What is your conclusion? - Select your answer - -Conclude the mean time needed to mix a batch of material is not the same for all manufacturers -Do not reject the assumption that mean time needed to mix a batch of material is the same for all manufacturers Item 7 b. At the level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers and . Calculate Fisher's LSD Value (to 2 decimals). ____________
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material.
Manufacturer
| 1 | 2 | 3 |
| 17 | 31 | 25 |
| 23 | 29 | 24 |
| 21 | 34 | 28 |
| 19 | 30 | 27 |
a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use .
Compute the values below (to 2 decimals, if necessary).
|
Sum of Squares, Treatment ________ |
|
Sum of Squares, Error _____________ |
|
Mean Squares, Treatment ______________ |
|
Mean Squares, Error ___________________ |
|
|
Calculate the value of the test statistic (to 2 decimals). ____________
The p-value is - Select your answer - less than .01, between .01 and .025, between .025 and .05, between .05 and .10, greater than .10
What is your conclusion?
- Select your answer -
-Conclude the mean time needed to mix a batch of material is not the same for all manufacturers
-Do not reject the assumption that mean time needed to mix a batch of material is the same for all manufacturers Item 7
b. At the level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers and .
Calculate Fisher's LSD Value (to 2 decimals). ____________
What is your conclusion about the mean time for manufacturer and the mean time for manufacturer ?
- Select your answer-
-These manufacturers have different mean times
-Cannot conclude there is a difference in the mean time for these manufacturers
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