The Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 25 people reveals the mean yearly consumption to be 36 kilograms (kg)with a standard deviation of 14 kg. Assume a normal population.

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

Population mean ( select)

1. Unknown
2. 36
3. 50

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

Estimate value?

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

(select)

1. Use the t distribution as the population standard deviation is known
2. Use the t distribution as the population standard deviation is unknown
3. Use the t distribution as the population mean is known

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

(select)

1. We must assume that the population is normally distributed
2. We must assume that the population is binomially distributed
3. We must assume that the population is not normally distributed.

c. For a 95% confidence interval, what is the value of t? (Round the final answer to 3 decimal places.)

Value of t?

d. Develop the 95% 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 39 kg?

(select)

1. Yes
2. No

That value is (select)

1. reasonable
2. not reasonable

because it is (select)

1. not inside
2. inside the interval.