Question 6.21: The experiment is repeated. This time, the operator forgets ...

Principles of Statistics for Engineers and Scientists

The experiment is repeated. This time, the operator forgets to apply the coatings, so each of the 20 wear measurements is actually made on uncoated gears. Is it likely that one or more of the formulations will appear to reduce wear, in that $H_0$ will be rejected?

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: 6.9

Use the data in Table 6.2 to test the null hypothesis that the proportions of pins that are too thin, OK, or too thick are the same for all the machines. ...

Verified Answer:

We begin by using Equation (6.5) to compute the ex...

Question: 6.23

In Example 6.22, assume the P -value for formulation C had been 0.03 instead of 0.005. What conclusion would you reach then? ...

Verified Answer:

The Bonferroni adjustment would yield P = (4)(0.03...

Question: 6.22

Four different coating formulations are tested to see if they reduce the wear on cam gears to a value below 100 μm. The null hypothesis Ho: μ: ≥ 100 μm is tested for each formulation, and the results are The operator suspects that formulation C may be effective, but he knows that the P-value ...

Verified Answer:

Four tests were performed, so the Bonferroni adjus...

Question: 6.20

If in fact none of the 20 formulations have any effect on wear, what is the probability that H0 will be rejected for one or more of them? ...

Verified Answer:

We first find the probability that the right concl...

Question: 6.19

Given that H0 was rejected for one of the 20 formulations, is it plausible that this formulation actually has no effect on wear? ...

Verified Answer:

Yes. It is plausible that none of the formulations...

Question: 6.18

If only one formulation were tested, and it in fact had no effect on wear, what is the probability that H0 would be rejected, leading to a wrong conclusion? ...

Verified Answer:

If the formulation bas no effect on wear, then μ =...

Question: 6.17

Refer to Example 6.16. Find the sample size needed so that the power will be at least 0.9. ...

Verified Answer:

The following computer output (from MINITAB) prese...

Question: 6.16

Shipments of coffee beans are checked for moisture content. High moisture content indicates possible water contamination, leading to rejection of the shipment. Let μ represent the mean moisture content (in percent by weight) in a shipment. Five moisture measurements will be made on beans chosen at ...

Verified Answer:

The following computer output (from MINITAB) prese...

Question: 6.15

Refer to Example 6.14. How many voters must be sampled so that the power will be 0.8 when the true value of p = 0.55? ...

Verified Answer:

The following computer output (from MINITAB) prese...

Question: 6.14

A pollster will conduct a survey of a random sample of voters in a community to estimate the proportion who suppo1t a measure on school bonds. Let p be the proportion of the population who support the measure. The pollster will test H0: p = 0.50 versus H1: p ≠ 0.50 at the 5% level. If 200 voters ...

Verified Answer:

The following computer output (from MINITAB) prese...