A recent student survey asked a random sample of 20 UF students "How many hours do you sleep in a typical night?".The data is given below.

6778.58989877977677688

Where

is the population mean hours UF students sleep in a typical night.

You are going to construct a 95% confidence interval for the population mean.

a.On checking the assumptions you see that it is stated in the question that a random sample is taken.

For the other assumption, is it reasonable to use t procedures here?

-no the sample size is less than 30.

-yes the population is normally distributed.

-no successes and failures are less than 15.

-yes, a dotplot of the data does not show very strong skewness or outliers.

-yes the data is quantitative and this is a confidence interval for the population mean.

b.Inputting the data into the calculator and using 1-Var Stats gives =7.475

x=7.475and=0.9662

s=0.9662.

What is the margin of error?

-2.0223

-0.1013

-0.4521

-0.4506

-0.2160

c.Calculate the 95% confidence interval.

-(6.51, 8.44)

-(5.45. 9.50)

-(7.26, 7.69)

-(7.02, 7.03)

d.Fill in the blanks.

We are 95% confident that the interval (your interval) captures the

-sample proportion

-sample mean

-population proportion

-population mean

hours that

-a student sleeps

-all uf students sleep

on a typical night.

e.You decide to repeat the study but for all students in Florida.What sample size would be needed if you wanted to have a margin of error 0.1 with 95% confidence?Assume that the standard deviation is the same as for the study for the UF students above.

-18

-358

-359

-20

-19