A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. Her data are displayed in the provided table. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130-year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging. 98 79 147 200 130 60 51 127 105 75 120 113 200 190 81 98 160 165 134 62 152 66 68 124 190 159 60 Use technology and the provided data to determine if this sample provides evidence that the average age of the driftwood along this beach is less than 130 years. Use a 5% significance level to make your conclusion. a. State the parameters and hypotheses. heses b. Find the observed sample statistic. c. Using Statkey or another tool find the p-value. d. Are the results statistically significant? Why or why not?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question 9:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large
number of trees of this species washing up along a beach as driftwood. She takes core samples
from 27 of those trees to count the number of rings and measure the widths of the rings. Counting
the rings allows the researcher to determine the age of each tree. Her data are displayed in the
provided table. One of her interests is determining if this sample provides evidence that the
average age of the driftwood is less than the 130-year life span expected for this type of tree. It
the average age is less than 130 years it might suggest that the trees have died from unusual
causes, such as invasive beetles or logging.
98
79
147
200 130 60
51
127 105 75
120
113 200
190
81
98
160
165
134
62
152
66
68
124
190
159
60
Use technology and the provided data to determine if this sample provides evidence that the
average age of the driftwood along this beach is less than 130 years. Use a 5% significance level
to make your conclusion.
a. State the parameters and hypotheses.
hat the
assesm
ses
b. Find the observed sample statistic.
C. Using Statkey or another tool find the p-value.
d. Are the results statistically significant? Why or why not?
Transcribed Image Text:Question 9: A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. Her data are displayed in the provided table. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130-year life span expected for this type of tree. It the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging. 98 79 147 200 130 60 51 127 105 75 120 113 200 190 81 98 160 165 134 62 152 66 68 124 190 159 60 Use technology and the provided data to determine if this sample provides evidence that the average age of the driftwood along this beach is less than 130 years. Use a 5% significance level to make your conclusion. a. State the parameters and hypotheses. hat the assesm ses b. Find the observed sample statistic. C. Using Statkey or another tool find the p-value. d. Are the results statistically significant? Why or why not?
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