Modern Business Statistics with Microsoft (R) Office Excel (R) (with XLSTAT Education Edition Printed Access Card)
Master STK120 with Confidence! Stressed about acing your STK120 exams and tests? We've got the ultimate study pack to boost your understanding and exam performance. Our comprehensive collection of past STK120 tutorial papers and detailed memos provides valuable insights into exam format, key c...
1
TUT 1 on Chapter 18 (linked to Ch 9 &10) Preparation MEMO
Question 1
The computer laboratory where students do their practical tests is undecided whether to
increase or decrease the capacity of the laboratory. From past experience they know that
the median number of students who do their practical tests per session is 80.
A simple random sample of 10 sessions is taken to test the hypothesis.
88 90 82 81 86 78 76 92 80 84
Use the exact sign test to test at a 5% level of significance that the median number of
students per session is different from 80 students.
a) Formulate the hypotheses
𝐻 : population median = 80
𝐻 : population median 80
b) Give the value of the Sign test statistic:
𝑥 number of positive signs 7
Sample size decreases from 10 to 𝑛 9 since there is a tie on one sample value.
c) Specify the exact distribution of 𝑥 𝑢𝑛𝑑𝑒𝑟 𝐻 :
𝑥~𝑏𝑖𝑛𝑜𝑚𝑖𝑎𝑙 9 ; 0.5
d) Define the p-value and calculate it by using the Excel function BINOM.DIST:
p-value (= 0.1796) 𝛼 (= 0.05) ⇒ 𝐻 can not be rejected
Conclusion:
The population median number of students per session is not significantly different
from 80 at the 5% level of significance.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller thembisilemagudulela. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $4.00. You're not tied to anything after your purchase.
