the manager of a fast food restaurant is supposed to serve coffee that is 160 degrees fahrenheit. a random…

the manager of a fast food restaurant is supposed to serve coffee that is 160 degrees fahrenheit. a random sample of 20 cups of coffee reveal that the mean temperature is 151 degrees fahrenheit with a standard deviation of 3 degrees. the manager would like to conduct a t - test for the population mean temperature of all cups of coffee served at this restaurant. are the conditions for inference met?\nno, the random condition is not met.\nno, the 10% condition is not met.\nno, the normal/large sample condition is not met.\nyes, all conditions for inference are met.

the manager of a fast food restaurant is supposed to serve coffee that is 160 degrees fahrenheit. a random sample of 20 cups of coffee reveal that the mean temperature is 151 degrees fahrenheit with a standard deviation of 3 degrees. the manager would like to conduct a t - test for the population mean temperature of all cups of coffee served at this restaurant. are the conditions for inference met?\nno, the random condition is not met.\nno, the 10% condition is not met.\nno, the normal/large sample condition is not met.\nyes, all conditions for inference are met.

Answer

Explanation:

Step1: Check random condition

A random sample of 20 cups is taken. So the random - condition is met.

Step2: Check 10% condition

Assume there are more than 200 cups of coffee served at the restaurant (since 20 is 10% of 200). So the 10% condition is met.

Step3: Check Normal/large - sample condition

The sample size (n = 20) is not large ((n<30)). But if we assume that the population of coffee - temperatures is normally distributed (which is a reasonable assumption for a manufacturing or service - related process like coffee - serving temperature), the Normal/large - sample condition can be considered met.

Answer:

Yes, all conditions for inference are met.