A Marketing Study Was Conducted to Compare the Mean Age $\mathrm { n } = 20 , \quad$

question 81

Multiple Choice

A marketing study was conducted to compare the mean age of male and female purchasers of a certain product. Random and independent samples were selected for both male and female purchasers of the product. It was desired to test to determine if the mean age of all female purchasers exceeds the mean age of all male purchasers. The sample data is shown here:

Female: $\mathrm { n } = 20 , \quad$ sample mean $= 50.30 , \quad$ sample standard deviation $= 13.215$
Male: $\mathrm { n } = 20 , \quad$ sample mean $= 39.80 , \quad$ sample standard deviation $= 10.040$

Use the pooled estimate of the population standard deviation to calculate the value of the test statistic to use in this test of hypothesis.

• A) \(t = 2.83\)
• B) \(t = 2.17\)
• C) \(t = 3.17\)
• D) \(t = 2.65\)

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Definitions:

Salience

The quality of being particularly noticeable or important; the state at which something stands out from its background or context.

Stereotype Formation

The process by which individuals develop generalized beliefs or assumptions about particular groups of people, often based on limited or biased information.

External Motive

Influences or reasons for behavior that originate outside an individual, often involving rewards or punishments from the external environment.

Implicit Prejudiced Attitudes

Implicit prejudiced attitudes refer to unconsciously held prejudiced views towards certain groups or individuals which can influence behavior and decision-making without explicit awareness.