Find the range of allowable values based on a measure of 130 inches if the values can vary by 1.4%.
1 answer:
Answer:
130 ± 1.82 inches, meaning the values range from 128.18 inches to 131.82 inches.
Step-by-step explanation:
The range indicates the values lie between the minimum and maximum figures.
Given that the values may vary by 1.4%, the range can be calculated as:
1.4% of 130 = x 130
= 0.014 x 130
= 1.82
This denotes that by adding or subtracting 1.82 from 130 inches, we obtain the desired range.
Thus,
130 - 1.82 = 128.18 inches
130 + 1.82 = 131.82 inches
The values indeed lie between 128.18 inches and 131.82 inches.
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Response:
It is inferred that the authors of the sonnets belong to a certain poet from the Elizabethan era.
Step-by-step breakdown:
The details provided in the question are as follows:
Population mean, μ = 8.9
Sample mean, = 10.2
Sample size, n = 6
Alpha, α = 0.05
Population standard deviation, σ = 2.5
Initially, we formulate the null hypothesis and the alternative hypothesis
To conduct this test, we utilize the One-tailed z test.
a) Equation:
By substituting in all relevant values, we determine:
Next,
b) The p-value is computed using the z-table.
P-value = 0.1003
The p-value surpasses the alpha of 0.05
c) Because the p-value exceeds the alpha threshold, there is insufficient evidence to dismiss the null hypothesis, thereby supporting the null hypothesis.
Consequently, it is concluded that the authorship of the sonnets belongs to a particular Elizabethan poet.