$\"\"$

\

(a)

\

Random sample for Column craze is $\"\"$ .

\

Average price for Column craze is $\"\"$ .

\

Assume that standard deviation is $\"\"$ .

\

Find the probability that mean price is more than $\"\"$

\

Find $\"\"$ .

\

Standard deviation of a sample mean is $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ in the formula.

\

$\"\"$

\

$\"\"$ .

\

Use the $\"\"$ -value formula for a sample mean to find the $\"\"$ -value for $\"\"$ .

\

$\"\"$ -value formula: $\"\"$ .

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Using $\"\"$ -score calculator:

\

The area for $\"\"$ is $\"\"$ .

\

\

\

Area to the right side of $\"\"$ is $\"\"$ .

\

Probability that mean price is more than $\"\"$ is $\"\"$ .

\

$\"\"$

\

\

(b)

\

Random sample for Space race is $\"\"$ .

\

Average price for Space race is $\"\"$ .

\

\

\

Assume that standard deviation is $\"\"$ .

\

\

Standard deviation of a sample mean is $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ in the formula.

\

$\"\"$

\

$\"\"$ .

\

Find the probability that mean price is between $\"\"$ and $\"\"$ .

\

Find $\"\"$ -value for $\"\"$ .

\

$\"\"$ -value formula: $\"\"$ .

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Using $\"\"$ score calculator:

\

The area for $\"\"$ is $\"\"$ .

\

Find $\"\"$ -value for $\"\"$ .

\

$\"\"$ -value formula: $\"\"$ .

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Using $\"\"$ -score calculator:

\

The area for $\"\"$ is $\"\"$ .

\

Area between the $\"\"$ -scores $\"\"$ and $\"\"$ is $\"\"$ .

\

Probability that mean price between $\"\"$ and $\"\"$ is $\"\"$ .

\

$\"\"$

\

(a) Probability that mean price is more than $\"\"$ is $\"\"$ .

\

(b) Probability that mean price between $\"\"$ and $\"\"$ is $\"\"$ .