2.) Marketing research done by a fast-food restaurant indicates that coffee tast

Question

2.) Marketing research done by a fast-food restaurant indicates that coffee tastes best if its temperature is between 153(F) and 167(F). The data file is labeled coffee temperature.xlsx. The restaurant has sampled the coffee it serves and observed the 48 temperature readings in Table 1.10 on page 17. The temperature readings have a mean 159.3958 and a standard deviation 6.4238 and are described by a bell-shaped histogram. Using mean and standard deviation as point estimates of the mean m and the standard deviation s of the population of all possible coffee temperatures, we wish to calculate the probability that x, the temperature f a randomly selected cup of coffee, is outside the customer requirements for best-testing coffee (that is, less than 153° or greater than 167°). Compute the probability P(x<153 or x>167).

Explanation / Answer

here by considering above as point estimate :

P(X<153 or X>167)=P(Z<(153-159.3958)/6.4238)+P(Z>(167-159.3958)/6.4238)=P(Z<-0.9956)+P(Z>1.1838)

=0.1597+0.1183=0.2780

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.