Question

A sample of 120 boxes of rice produced by a company showed an average of 2.3 pounds with a
population standard deviation of 6 ounces. Determine a 95% confidence interval for the mean weight
of the population of boxes or rice produced by the company.
a. Does the scenario represent a confidence interval or a hypothesis test?
b. Does the scenario represent a one population or two populations?
c. What is the appropriate formula for this scenario?
d. What does each symbol represent in the appropriate formula?

Answer 1

a. the scenario represent a confidence interval .

(as we are instructed to create a 95% confidence interval)

b. the scenario represent a one population.

c. the appropriate formula for this scenario is :-

d. symbol representation:-

= sample mean = 2.3

= population sd = 6

n = sample size = 120

= z critical value for 95% confidence level, both tailed test = 1.96

the 95% confidence interval be:-

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