Code Requirements

Name your program file

project$1.$py $($all

lowercase$).$ MAKE SURE THE FILE IS NAMED

CORRECTLY. All code you write for this project

should be contained in this file.

Your program should include the following

functions:

main $-$ This function has no parameters and does

not return a value. This function is the main driver

of the program. It should first print the welcome

message. Then it should loop to process shapes

repeatedly until the user decides to quit. Then it

should print the final thank you message. Allow the

user to enter an uppercase or lowercase $\text{'}$q$\text{'}$ to quit.

get$\_$shape$\_$choice $-$ This function accepts no

parameters. It's purpose is to print the menu of

shape options as shown in the sample run and get

the user's choice. The function should return that

choice. No error detection should be done in this

function.

process$\_$shape$\_$choice $-$ This function has one

string parameter representing the shape chosen by

the user. The function should use an if statement to

call the appropriate shape processing function. If

the parameter value is not valid $(\text{'}1\text{'}$ through $\text{'}7\text{'})$

then print the error message as shown in the

sample run. Note that this approach will handle

ANY invalid input $($don$\text{'}$t convert the input to a

number$).$ This function does not return a value.

Code Requirements

Name your program file

project$1.$py $($all

lowercase$).$ MAKE SURE THE FILE IS NAMED

CORRECTLY. All code you write for this project

should be contained in this file.

Your program should include the following

functions:

main $-$ This function has no parameters and does

not return a value. This function is the main driver

of the program. It should first print the welcome

message. Then it should loop to process shapes

repeatedly until the user decides to quit. Then it

should print the final thank you message. Allow the

user to enter an uppercase or lowercase $\text{'}$q$\text{'}$ to quit.

Inference $($t$-$Test$)$ Practice Problems

Unless otherwise stated, use $=0\mathrm{.}05$ as the significance level. Assume all necessary conditions are met for hypothesis testing.

Problem $1$

A group of $15$ swimmers is chosen to participate in an experiment to see if a new breathing style will improve their stamina. Each swimmer's

pulse recovery rate is measured affily a $20$ minute workout using the old breathing style. After a few weeks of practicing the new breathing style,

the pulse recovery rate is again measured after a $20$ minute workout using the new style. The swimmers will continue to use the new breathing

style if it is shown to reduce pulse recovery time.

a$.$ State the appropriate null and alternative hypotheses. Be sure to define all terms.

b$.$ What is the appropriate test statistic?

c$.$ State the distribution of the test statistic under the null $($assume the null hypothesis is true$).$

d$.$ The test statistic for the situation is $t=-1\mathrm{.}75$ Sketch the distribution in part $($c$)$ and shade in area under the curve corresponding to the $p-$

value.