# we have been using and use the

we have been using and use the P-VALUE METHOD tomake your decision. For confidence intervals, there are notspecific steps, but there is a specific Excel tool for eachinterval. They should not be done by-hand for this set, nor shouldyou simply use Excel formulas to use it as a calculator. Treat eachquestion as a separate problem — we use the same data set but areanswering different “research questions”.

Many parts of cars are mechanically tested to be certain thatthey do not fail prematurely. In an experiment to determine whichone of two types of metal alloy produces superior door hinges, 40of each type were tested until they failed. Car manufacturersconsider any hinge that does not survive 1 million openings andclosings to be a failure. The number of openings and closingsas observed and recorded in the accompanying table (to the closest0.1 million). A statistician has determined that the number ofopenings and closings is normally distributed.

NOTE: use ONLY the P-value method for hypothesistests. If you include both rules in step 4 or include both in yourdecision step, I will have to conclude that you do not yetunderstand the p-value rule.

Number of Openings and Closings

 Alloy 1 Alloy 2 1.5 1.5 0.9 1.3 1.4 0.9 1.3 0.8 1.8 1.6 1.3 1.5 1.3 1.3 0.9 1.4 1.6 1.2 1.2 1.8 0.7 1.2 1.1 0.9 1.3 0.9 1.5 1.6 1.2 0.8 1.2 1.1 1.2 1.3 1.4 1.4 0.8 0.7 1.1 1.4 1.1 1.5 1.1 1.5 1.1 1.4 0.8 0.8 1.3 0.8 0.8 1.1 1.3 1.1 1.5 0.9 1.1 1.6 1.6 1.3 1.4 1.2 1.3 1.6 0.9 1.4 1.7 0.9 0.6 0.9 1.8 1.4 1.1 1.3 1.9 1.3 1.5 0.8 1.6 1.3

Do the data provide enough evidence to allow us to infer at the5% significance level that hinges made with Alloy 1 last longerthan hinges made with Alloy 2?

Given Level Of Significance = 5%

So, = 0.05

We need to check if hinges made with Alloy 1 last longer thanhinges made with Alloy 2

Let 1 = Mean for Alloy1

2 = Mean for Alloy2

Hypotheses are:

Ho: 1 < 2

Ha: 1 > 2

For this we need to perform t-test to compare means for datasets

 Alloy 1 Alloy 2 1.5 1.4 1.8 1.3 1.6 0.7 1.3 1.2 1.2 0.8 1.1 1.1 1.3 1.3 1.1 1.4 0.9 0.6 1.1 1.5 1.5 0.9 1.6 1.3 1.2 1.2 0.9 0.8 1.3 0.7 1.5 1.4 0.8 1.1 1.6 1.2 1.4 0.9 1.3 0.8 0.9 1.3 1.3 0.9 1.2 1.1 1.5 1.2 1.4 1.1 1.1 0.8 0.8 1.5 1.6 1.3 1.7 1.8 1.9 1.6 1.3 0.8 1.5 1.4 1.8 0.9 1.6 1.1 1.4 1.4 1.5 0.8 1.1 0.9 1.3 1.6 0.9 1.4 1.3 1.3

1 = 1.323, 2 =1.145

sample standard deviation

s1 = 0.2833, s2 = 0.2935

n1 = n2 = 40

So, t-statistic = 2.76

degree of freedom, df = n1 + n2 – 2 = 78

Hence p-value = 0.0036

Since p-value < 0.05, we can reject the Null Hypotheses.

Hence we conclude that hinges made with Alloy 1 last longer thanhinges made with Alloy 2

##### "Our Prices Start at \$11.99. As Our First Client, Use Coupon Code GET15 to claim 15% Discount This Month!!"
Calculate the price
Pages (550 words)
\$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with brilliantassignmenthelp.com
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
Testimonials
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
11,595
Customer reviews in total
96%
Current satisfaction rate
3 pages
Average paper length
37%
Customers referred by a friend
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat