Tutorial 10
Hypothesis testing with two populations
ALWAYS activate TP as you settle in for the session
1
Session ID: id85
,Chapter 10 Hypothesis Testing: Inference about 2 means
, Two population hypothesis testing
Question 1 is based on the following information:
A tobacco cigarettes manufacturer claims that the mean age of males and
females starting to smoke cigarettes do not differ. A researcher would like
to investigate the manufacturer’s claim and took random samples of 20
females and 30 males from independent normal populations and the
descriptive statistics for the age of the respondents are tabulated below.
Use 𝜶 = 𝟎. 𝟎𝟒
Females Males
𝐧𝟏 = 𝟐𝟎 𝐧𝟐 = 𝟑𝟎
𝐱ത 𝟏 = 𝟐𝟎 𝐱ത 𝟐 = 𝟏𝟖
𝛔𝟏 = 𝟐. 𝟕 𝛔𝟐 = 𝟐. 𝟑
Let: 𝝁𝟏 = population mean of the age of females
𝝁𝟐 = population mean of the age of males
a. Formulate the hypotheses.
b. Give the expected value of 𝐱ത 𝟏 − 𝐱ത 𝟐 under 𝐇𝟎 .
c. Determine the rejection rule using the critical value approach.
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 $4.13. You're not tied to anything after your purchase.