The Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 27 people reveals the mean yearly consumption to be 35 kilograms (kg)with a standard deviation of 13 kg. Assume a normal population.

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

Population mean

(Click to select)

Unknown

35

48

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

Estimate value

b-1.Explain why we need to use thetdistribution.

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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?

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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 oft?(Round the final answer to 3 decimal places.)

Value oft=

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

Confidence interval for the population mean isand.

e.Would it be reasonable to conclude that the population mean is 39 kg?

(Click to select)

Yes

No

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