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.
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.
