6. if you drew all possible random samples of size 1,000 from the population of lsat test takers and plotted the values of the mean from each sample, the resulting distribution would be the sampling distribution of the mean. would this sampling distribution be a normal distribution? why or why not?

Step-by-step explanation:

Given that you drew all possible random samples of size 1,000 from the population of LSAT test takers

Plotted the values of the mean from each sample

As per central limit theorem, we find that for sample sizes of minimum 30, the means of all such samples randomly drawn would follow a bell shaped curve with normal distribution irrespective of the original distribution of the population.

Hence here answer is yes, this would be a normal distribution as per central limit theorem.

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: