In Performing a Hypothesis Test Where the Null Hypothesis Is

question 46

Multiple Choice

In performing a hypothesis test where the null hypothesis is that the population mean is 6.9 against the alternative hypothesis that the population mean is not equal to 6.9, a random sample of 16 items is selected.The sample mean is 7.1 and the sample standard deviation is 2.4.It can be assumed that the population is normally distributed.The level of significance is selected as 0.05.The decision rule for this problem is to reject the null hypothesis if the observed "t" value is ___.

• A)less than -2.131 or greater than 2.131
• B)less than -1.761 or greater than 1.761
• C)less than -1.753 or greater than 1.753
• D)less than -2.120 or greater than 2.120
• E)less than -3.120 or greater than 3.120

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Definitions:

Vectors

Quantities that have both magnitude and direction, represented by arrows in physics and mathematics.

Magnitude

Refers to the size or extent of something, often used in the context of numbers, earthquakes, and vectors to denote their strength or value.

Hypotenuse

The longest side of a right-angled triangle, opposite the right angle, calculated with the Pythagorean theorem.

Inches

A unit of length in the British imperial and United States customary systems of measurement, equal to 1/12 of a foot.