Use the following to answer the questions below:
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 | |
Define the appropriate parameter(s) and state the hypotheses for testing if this sample provides evidence that the average age of the driftwood along this beach is less than 130 years.
▸ Parameter:
μ = average age of driftwood trees along this beach
Hypotheses:
H0 :
μ > 130 versus
Ha :
μ = 130
▸ Parameter:
μ = average age of driftwood trees along this beach
Hypotheses:
H0 :
μ = 130 versus
Ha :
μ > 130
▸ Parameter:
μ = average age of driftwood trees along this beach
Hypotheses:
H0 :
μ = 130 versus
Ha :
μ < 130
▸ Parameter:
μ = average age of driftwood trees along this beach
Hypotheses:
H0 :
μ < 130 versus
Ha :
μ = 130
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