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

question 96

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

Suppose the test statistic was calculated to be the value, $t = 2.83$ . Use the rejection region to state the correct conclusion when testing at alpha $= 0.05$ .

• A) We accept \(\mathrm { H } _ { 0 }\).
• B) We fail to reject \(\mathrm { H } _ { 0 }\).
• C) We reject \(\mathrm { H } _ { 0 }\).

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Definitions:

Warm and Cold Receptors

Sensory nerve endings in the skin that respond to temperature changes, with some responding to warmth and others to coolness.

Temperature

A physical quantity expressing hot and cold, measured by a thermometer and determined by measuring the kinetic energy of the particles of an object.

Brain

The complex central organ of the nervous system, responsible for processing sensory information, regulating vital functions, and enabling thought, emotion, and memory.

Discriminating Odors

The ability to recognize and differentiate between various smells.