A Researcher Wants to Estimate the Difference in the Means

question 69

Multiple Choice

A researcher wants to estimate the difference in the means of two populations.A random sample of 36 items from the first population results in a sample mean of 430.A random sample of 49 items from the second population results in a sample mean of 460.The population standard deviations are 120 for the first population and 140 for the second population.From this information, a 95% confidence interval for the difference in population means is _______.

• A)-95.90 to 35.90
• B)-85.44, 25.44
• C)-76.53 to 16.53
• D)-102.83 to 42.43
• E)98.45 to 125.48

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Definitions:

Zero-Factor Property

The rule stating if a product of two or more factors is zero, at least one of the factors must be zero.

Equation

A pronouncement in mathematics asserting the equivalence of two expressions.

Factored Form

An expression represented as the product of its factors.

Constructed Figure

A geometric shape that is drawn or created using specific rules or tools.