Please write 300-400 words Sup

Please write 300-400 words

Suppose a manufacturer of the XJ35 battery claims themean life of the battery is

500 days with a standard deviation of 25 days. You arethe buyer of this battery

and you think this claim is inflated. You would like totest your belief because

without a good reason you can’t get out of yourcontract.

What do you do?

How do you do it?

Who would you tell?



  1. First of all, we specify our variable under study. Here it isx or ‘life of the battery’. Therefore the assumed mean, orµ0=500 and σ=25.
  2. At this point, we need to collect a sample of battery liveslarge enough to test for significance of the difference between theactual and the assumed means. Hence, we collect a large sample,i.e. the lives in days of 30 or more batteries. For ease ofcalculation in this case, let n be equal to 30.
  3. Here, H0: µ=µ0=500 and H1:µ<µ0=500
  4. Say this sample gives a mean of 480. If this number was 150,183 or 310, we could have rejected the null hypothesis right away.However, since 480 looks close enough to 500, we test thisstatistically using the z-statistic.
  5. z= (µ-µ0)/(σ/sqrt(n)) = (480-500)/(25/(30^0.5)) =-4.38 which is more than two standard deviations away from themean.
  6. Testing this in R, using pnorm(480,500,25/sqrt(30)) we get avalue smaller than 0.01, which will be ourp-value. This means that, when the population meanis 500, there is less than 1% probability that we would find asample mean smaller than 480.
  7. To see whether the above probability is small enough, we checkat a particular level of significance. This depends upon the usageof the batteries. Say they are to be used in pacemakers – in thiscase, the consequences of a type II error could be fatal (ie. thebattery life is taken to be 500 days). Hence, we take α to be0.1.
  8. Now, the p-value (~0.01) is less than α (0.1), therefore, wemight want to advise the end consumers to switch batteries with asafe margin in hand, such as once every year if the sample mean isaround 480.


"Our Prices Start at $11.99. As Our First Client, Use Coupon Code GET15 to claim 15% Discount This Month!!"
Calculate the price
Make an order in advance and get the best price
Pages (550 words)
*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
Upload your instructions
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
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.
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.
Customer reviews in total
Current satisfaction rate
3 pages
Average paper length
Customers referred by a friend
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat

Sometimes it is hard to do all the work on your own

Let us help you get a good grade on your paper. Get professional help and free up your time for more important courses. Let us handle your;

  • Dissertations and Thesis
  • Essays
  • All Assignments

  • Research papers
  • Terms Papers
  • Online Classes