A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food and another nine plants have not been given the plant food. After the period of eight weeks, the sample mean height of plants that given the plant food and not given the plant food is 16 and 14 inches respectively. Based on the past research result, the standard deviation of the height of plants that given the plant food and not given the plant food is known to be 2.5 and 1.5 inches respectively. The researcher thinks the food makes the plants grow taller. (a) Test the researcher's claim at 4% level of significance. (b) Find the p-value for the test in (a). (c) What is the assumption needed for the test in (a)?

MATLAB: An Introduction with Applications
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(a) Test the researcher’s claim at 4% level of significance.
(b) Find the p-value for the test in (a).
(c) What is the assumption needed for the test in (a)?

A researcher is testing the effects of plant food on plant growth. Nine plants have been
given the plant food and another nine plants have not been given the plant food. After
the period of eight weeks, the sample mean height of plants that given the plant food
and not given the plant food is 16 and 14 inches respectively. Based on the past research
result, the standard deviation of the height of plants that given the plant food and not
given the plant food is known to be 2.5 and 1.5 inches respectively. The researcher
thinks the food makes the plants grow taller.
(a) Test the researcher's claim at 4% level of significance.
(b) Find the p-value for the test in (a).
(c) What is the assumption needed for the test in (a)?
Transcribed Image Text:A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food and another nine plants have not been given the plant food. After the period of eight weeks, the sample mean height of plants that given the plant food and not given the plant food is 16 and 14 inches respectively. Based on the past research result, the standard deviation of the height of plants that given the plant food and not given the plant food is known to be 2.5 and 1.5 inches respectively. The researcher thinks the food makes the plants grow taller. (a) Test the researcher's claim at 4% level of significance. (b) Find the p-value for the test in (a). (c) What is the assumption needed for the test in (a)?
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