What value of z* should be used to construct a 97 confidence interval of a population mean?
1 answer:
The value of z* should be used to construct a 97 confidence interval of a population mean is 2.17.
<h3>What is confidence interval?</h3>A degree of uncertainty and certainty in a sample process is measured by confidence intervals. They can choose from a variety of probability limitations, the most frequent becoming a 95% or 99% confidence level.
Some characteristics of confidence interval are-
- Statistical tools, such as the t-test, are used to compute confidence intervals.
- Confidence intervals are used by statisticians to quantify uncertainty in such a sample variable.
- A researcher, for example, may randomly select multiple samples drawn from the same population and compute a confidence interval for every sample to determine how well it might represent the real value of a population variable.
- The generated datasets are all unique; some intervals contain the genuine population parameter while others do not.
Now, according to the question;
The confidence level is given 97%.
Thus, the crucial value of z for a 97% confidence interval is 2.17, as determined by a z score table, which is as follows:
Therefore the obtained probability for the z-score of 2.17 is 0.97.
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Answer:
Length of Shorter leg = 27 feet
Length of Longer leg = 36 feet
Length of Hypotenuse = 45 feet
Step-by-step explanation:
Given:
Let,
Length of Shorter leg = x,
According to the given condition we have
∴ Length of Longer leg = x + 9 feet
∴ Length of Hypotenuse = 2x - 9 feet
To Find:
Length of Shorter leg = ?
Solution:
Now In Right Angle Triangle, By Pythagoras theorem we have
substituting the given values we get
By using Identity (A ± B)² = A² ± 2AB +B² we get
Substituting x=27 we get
∴ Length of Longer leg = x + 9 =27 +9 = 36 feet
∴ Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet
The function A(x) = 2x²-3x-2 represents the area of the garden.
Step-by-step explanation:
Given,
Length of rectangular garden is given by;
L(x) = 2x+1
Width of rectangular garden is given by;
W(x) = x-2
Area of rectangular garden;
A(x) = L(x) * W(x)
The function A(x) = 2x²-3x-2 represents the area of the garden.
Keywords: Area, rectangle
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