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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)?

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)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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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