An Evergreen Nursery Sells a Certain Shrub After 4 Years $d h / d t = 2.5 t + 6$

question 55

Multiple Choice

An evergreen nursery sells a certain shrub after 4 years. The growth rate of the shrub is given by $d h / d t = 2.5 t + 6$ , where t is the time in years and h is the height in centimeters. The seedlings are 10 centimeters tall when planted (t = 0) . How tall are the shrubs when they are sold?

• A)36 centimeters
• B)40 centimeters
• C)44 centimeters
• D)54 centimeters
• E)70 centimeters

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Definitions:

Standardized Test Statistic

A test statistic that has been converted into a standard form so that it can be directly compared to a distribution.

Rank Sum

A statistical measure used to compare the distributions of two or more groups by summing ranks assigned to their observations.

Alternative Hypothesis

A statistical hypothesis that suggests a difference or effect, contrary to the null hypothesis.

Critical Value

A point on the scale of the test statistic beyond which we reject the null hypothesis, given the significance level of the test.