Please show all work (including calculator commands) and round your answers to three decimal places.

1.Sam now needs to do some hypothesis testing to see if the subs are shorter than 12 inches.This is still based on his sample of 100 buns, with a mean 11.2 inches with a standard deviation of 3.5 inches.

a.What are his two hypotheses?

b.What kind of test is Sam going to use?

c.What is the test statistic?

d.Calculate the P-value.

e. What is Sam's conclusion using a significance level of 5%?Interpret the results in the context of the problem.

1.Sam investigates the bun making process.He looks up the recipe on how to make sub buns.He does an experiment to collect data on the amount the dough weighed versus the length of the bun to see if there was any kind of correlation.Here is the data:

Weight of Dough (oz)

3.2

2.3

6.1

2

5.2

1.9

4.3

3.9

4.3

4.3

4.9

3.1

Bread length (inches)

9

7.2

15.1

6.1

11

5.8

12

11.5

13.9

12.5

13

9.2

a.What is the explanatory variable?What is the response variable?

b.Draw a scatter plot.Don't forget that good graphs have a title, and each axis has a title as well as a scale.(You may use Excel for this)

c.What are the form, direction and strength of the scatterplot?

d.Find the regression equation.

e.Find the correlation r.

f.Predict the length of a bun if the dough weighed 3.7 ounces.