A sample of size

45

will be drawn from a population with mean53

and standard deviation11

. Use the TI-84 Plus calculator.

(a) Is it appropriate to use the normal distribution to find probabilities forx

?

(b) Find the probability thatx

will be between54

and55

. Round the answer to at least four decimal places.

(c) Find the47

th

percentile ofx

. Round the answer to at least two decimal places.

Itisappropriate to use the normal distribution to find probabilities forx

.

The probability thatx

will be between54

and55

is

.

The47

th

percentile ofx

is

.

Itis notappropriate to use the normal distribution to find probabilities forx

.