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...
TUT 1 on Chapter 18 (linked to Ch 9 &10) Preparation
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
b) Give the value of the Sign test statistic:
c) Specify the exact distribution of 𝑥 𝑢𝑛𝑑𝑒𝑟 𝐻 :
d) Define the p-value and calculate it by using the Excel function BINOM.DIST:
e) Interpret the p-value and make a conclusion:
Question 2
The median number of part-time employees at fast-food restaurants in a particular city was
known to be at most 18 last year. City officials think the use of part-time employees may be
increasing.
A sample of 22 fast-food restaurants showed that 17 restaurants were employing more
than 18 part-time employees, 2 restaurants were employing exactly 18 part-time
employees, and 3 restaurants were employing fewer than 18 part-time employees.
Can it be concluded that the median number of part-time employees has increased? Use
the sign test and test, on a 5% level.
a) Sample size for the sign test
b) Hypotheses:
c) Value of the Sign test statistic:
d) Specify the exact distribution of 𝑋 𝑢𝑛𝑑𝑒𝑟 𝐻 :
e) Write down the normal approximation to this binomial distribution:
f) Calculate this one-sided p-value by using the Excel function NORM.S.DIST
g) Decision:
h) Conclusion:
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 $4.18. You're not tied to anything after your purchase.
