Question

The Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 22 people reveals the mean yearly consumption to be 32 kilograms (kg) with a standard deviation of 10 kg. Assume a normal population.

a-1. What is the value of the population mean?

Population mean            (Click to select)  Unknown  32  42

a-2. What is the best estimate of this value?

Estimate value           

b-1. Explain why we need to use the t distribution.

(Click to select)  Use the t distribution as the population standard deviation is known.  Use the t distribution as the population standard deviation is unknown.  Use the t distribution as the population mean is known.

b-2. What assumption do you need to make?

(Click to select)  We must assume that the population is normally distributed.  We must assume that the population is binomially distributed.  We must assume that the population is not normally distributed.

c. For a 90% confidence interval, what is the value of t? (Round the final answer to 3 decimal places.)

Value of t           

d. Develop the 90% confidence interval for the population mean. (Round the final answers to 3 decimal places.)

Confidence interval for the population mean is  and  .

e. Would it be reasonable to conclude that the population mean is 37 kg?

(Click to select)  No  Yes

That value is  (Click to select)  not reasonable  reasonable  because it is  (Click to select)  inside  not inside  the interval.

Answer 1

a-1) unknown

a-2) Estimated value = sample mean = 32

b-1) Use the t distribution as the population standard deviation is unknown.

b-2)  We must assume that the population is normally distributed.

c) and d)

e) No, That value is not reasonable because it is not inside  the interval.