Question

1. A hotdog manufacturer made 400 hotdogs between 9am and 11 am this morning. The machine that makes the

hotdogs is supposed to produce hotdogs so that their weight is approximately normally distributed with a
mean of 8 ounces and a standard deviation of 0.44 ounces. An employee randomly selects 6 of the hotdogs
and finds that the mean weight of the hotdogs is 7.7 ounces.
Identify the population, the parameter, the sample, and the statistic in this context.
(Show work if possible)

Population:
Parameter:
Sample:
Statistic:

Answer 1

Population: All hotdogs made by the manufacturer between 9am and 11am this morning.

Parameter: The mean weight of hotdogs produced by the machine, which is approximately normally distributed with a mean of 8 ounces and a standard deviation of 0.44 ounces.

Sample: The 6 hotdogs that were randomly selected by the employee.

Statistic: The sample mean weight of the 6 hotdogs, which is 7.7 ounces.