need ASAP please by 8am please show all word

Math 2200

Take Home Quiz

Due Tuesday April 11

th

at the start of class

For each problem: Identify the type of test, write out the null and alternative hypothesis, and include a statement along

with your decision.

1.

Marine engines, particularly those of

large container or cargo ships, are rated to burn fuel based on its viscosity.

The most common fuel is known as 6 oil and should have a kinematic viscosity of 15 mm/s

2

at 100

o

C. Jonny ran

a set of 12 samples of 6 oil from a shore tank and calculated the

mean

viscosity as 14.3 mm/s

2

with a standard

deviation of

1.2

mm/s

2

.

Can Jonny conclude at 99% confidence that the shore tank of 6 oil

is

off spec

? Assume

the distribution is approximately normal.

2.

Gasoline retailers are mandated by the EPA to

have completely transitioned to selling summer

grade gasoline by

June 1

st

every year. To be considered summer

grade, the Reid Vapor Pressure (RVP)

of the gasoline

can be no

more than 9

psi

.

Enmark

et

is under suspicion of selling winter grade gas past the

June 1

st

deadline. An

investigator pulls

3

0 samples of gas from various Enmark

et

locations and the mean RVP is found to be

9.49

psi.

If the standard deviation of the test method is known to be

0

.

75

psi, can the investigator conclude that they are

sellin

g the wrong grade?

3.

The rumor among gasoline chemists is that

Russia

n oil/gas is very low quality and

Russi

an

boats are rejected

more often than others.

A

s

a

single barge of gasoline can be worth

$

7

10 million dollar

s

,

ships are

rarely

rejected

(assume no more than 15% of the time)

.

Shamgan was bored one day while waiting for the cargo boat

to arrive and decided to check the old laboratory records.

In the last

3

years a total of

38

gasoline ships

originated from Russia

. Of those

,

7

failed

their chemical testing

and were rejected

.

At a significance level of

95%, can Shamgan safely conclude that

Russian gas is more likely to

be rejected than

other

gas

?

Leave a Reply

Your email address will not be published. Required fields are marked *