Question 9.3: For the data in Table 9.1, compute MSTr, MSE, and F . Find t...

Principles of Statistics for Engineers and Scientists

For the data in Table 9.1, compute MSTr, MSE, and F . Find the P-value for testing the null hypothesis that all the means are equal. What do you conclude?

TABLE 9.1 Brine II hardness of welds using four different fluxes
Flux	Sample Values					Sample Mean	Sample Standard Deviation
A	250	264	256	260	239	253.8	9.7570
B	263	254	267	265	267	263.2	5.4037
C	257	279	269	273	277	271.0	8.7178
D	253	258	262	264	273	262.0	7.4498

The "Step-by-Step Explanation" refers to a detailed and sequential breakdown of the solution or reasoning behind the answer. This comprehensive explanation walks through each step of the answer, offering you clarity and understanding.
Our explanations are based on the best information we have, but they may not always be right or fit every situation.

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

This Question has been Answered.

Already have an account?

Related Answered Questions

Question: 9.16

A 2^5 factorial experiment was conducted to estimate the effects of five factors on the quality of lightbulbs manufactured by a certain process. The factors were A: plant (1 or 2), B: machine type (low or high speed), C: shift (day or evening), D: lead wire material (standard or new), and E: ...

Verified Answer:

We compute the effects, using the rules for adding...

Question: 9.6

The following output (from MTNITAB) presents the ANOVA table for the weld data in Table 9.1 (in Section 9.1). Which pairs of fluxes, if any, can be concluded, at the 5% level, to differ in their effect on hardness? ...

Verified Answer:

There are J = 4 levels, with J = 5 observations at...

Question: 9.17

In an emulsion liquid membrane system, an emulsion (internal phase) is dispersed into an external liquid medium containing a contaminant. The contaminant is removed from the external liquid through mass transfer into the emulsion. Internal phase leakage occurs when portions of the extracted ...

Verified Answer:

Using the sign table (Table 9.1 2), we compute est...

Question: 9.15

Refer to Example 9.14. Construct an ANOVA table. For each effect and interaction, test the null hypothesis that it is equal to 0. Which factors, if any, seem most likely to have an effect on the outcome? ...

Verified Answer:

The ANOVA table follows. The sums of squares for t...

Question: 9.13

The design suggested in Example 9. 12 has been adopted, and the experiment has been carried out. The results (from MTNITAB) follow. Does the output indicate any violation of necessary assumptions? What do you conclude regarding the effect of drill speed on excess diameter? ...

Verified Answer:

In a randomized complete block design, there must ...

Question: 9.11

Three fertilizers are studied for their effect on yield in an orange grove. Nine plots of land are used, divided into blocks of three plots each. A randomized complete block design is used, with each fertilizer applied once in each block. The results, in pounds of harvested fruit, are presented in ...

Verified Answer:

The P-value for the fertilizer factor is 0.001, so...

Question: 9.10

The thickness of the silicon dioxide layer on a semiconductor wafer is crucial to its performance. In the article “Virgin Versus Recycled Wafers for Furnace Qualification: Is the Expense Justified?” (V. Czitrom and J. Reece, Statistical Case Studies for Process Improvement, SIAM-ASA, 1997:87- ...

Verified Answer:

The P-value for the interactions is 0.022, which i...

Question: 9.9

The article “Uncertainty in Measurements of Dennal Absorption of Pesticides” (W . Navidi and A. Bunge, Risk Analysis, 2002:11 75-1182) describes an experiment in which a pesticide was applied to skin at various concentrations and for various lengths of time. The outcome is the amount of the ...

Verified Answer:

The P-value for the interaction is 0.832, so we co...

Question: 9.8

Use the preceding ANOVA table to determine whether the additive model is plausible for the yield data. If the additive model is plausible, can we conclude that either the catalyst or the reagent affects the yield? ...

Verified Answer:

We first check to see if the additive model is pla...

Question: 9.7

In Example 9.4 (in Section 9.1), several measurements of the maximum hourly concentrations (in μg/m³) of SO2 were presented for each of four power plants, and it was concluded that the mean concentrations at the four plants were not all the same. The following output (from MINITAB) ...

Verified Answer:

Among the simultaneous confidence intervals, there...