# .  In a random sample of eight

5.  In a random sample of

eight

cell​ phones, the mean full retail price was

​\$564.50

and the standard deviation was

​\$163.00.

Assume the population is normally distributed and use the​ t-distribution to find the margin of error and construct a

90​%

confidence interval for the population mean

μ.

Interpret the results.

Identify the margin of error.
Cell phones
dollars
square dollars

6.

The monthly incomes for

12

randomly selected​ people, each with a​ bachelor’s degree in​ economics, are shown on the right. Complete parts​ (a) through​ (c) below.

Assume the population is normally distributed.
 4450.14 4596.62 4366.84 4455.36 4151.16 3727.41 4283.93 4527.14 4407.35 3946.01 4023.61 4221.66
​(a) Find the sample mean.

# In a random sample of eight ​

In a random sample of

eight

​people, the mean driving distance to work was

22.5

miles and the standard deviation was

4.1

miles. Assume the population is normally distributed and use the​ t-distribution to find the margin of error and construct a

99​%

confidence interval for the population mean

μ.

Interpret the results.

Identify the margin of error.

nothing

​(Round to one decimal place as​ needed.)
Construct a

99​%

confidence interval for the population mean.

,
​(Round to one decimal place as​ needed.)
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.
​(Type an integer or a decimal. Do not​ round.)

A.

With______​%​confidence, it can be said that the population mean driving distance to work​ (in miles) is between the​ interval’s endpoints.

B. ____​%

of all random samples of

eight

people from the population will have a mean driving distance to work​ (in miles) that is between the​ interval’s endpoints.

C.

With ____​%​confidence, it can be said that most driving distances to work​ (in miles) in the population are between the​ interval’s endpoints.

D.

It can be said that _______​%of the population has a driving distance to work​ (in miles) that is between the​ interval’s endpoints.

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