Questions from Applied Statistics

Q: Eight cavities in an injection-molding tool produce plastic connectors that

Eight cavities in an injection-molding tool produce plastic connectors that fall into a common stream. A sample is chosen every several minutes. Assume that the samples are independent. a. What is the...

Q: Customers are used to evaluate preliminary product designs. In the past

Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful products received good reviews, 60% of moderately successful products received good reviews, and 10% o...

Q: The British government has stepped up its information campaign regarding foot-

The British government has stepped up its information campaign regarding foot-and-mouth disease bymailing brochures to farmers around the country. It is estimated that 99% of Scottish farmers who rece...

Q: Suppose that P(A | B) = 0.7

Suppose that P(A | B) = 0.7, P(A) = 0.5, and P(B) = 0.2. Determine P(B | A).

Q: A new analytical method to detect pollutants in water is being tested

A new analytical method to detect pollutants in water is being tested. This new method of chemical analysis is important because, if adopted, it could be used to detect three different contaminants—or...

Q: Disks of polycarbonate plastic from a supplier are analyzed for scratch and

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized here: Let A denote the event that a disk has high shock resistan...

Q: In control replication, cells are replicated over a period of two

In control replication, cells are replicated over a period of two days. Two control mechanisms have been identified—one positive and one negative. Suppose that a replication is observed in three cells...

Q: Samples of emissions from three suppliers are classified for conformance to air

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows: Let A denote the event that a sample is...

Q: The rise time of a reactor is measured in minutes (and

The rise time of a reactor is measured in minutes (and fractions of minutes). Let the sample space be positive, real numbers. Define the events A and B as follows: A = {x | x < 72.5} and B = {x | x >...

Q: The following table summarizes 204 endothermic reactions involving sodium bicarbonate.

The following table summarizes 204 endothermic reactions involving sodium bicarbonate. Let A denote the event that a reaction’s final temperature is 271 K or less. Let B denote the e...