Use Excel to find the critical value of z for each hypothesis test. (Round your answers to 3 decimal places. Negative values should be indicated by a minus sign.) (a) 10 percent level of significance, two-tailed test. Critical value of z ± (b) 1 percent level of significance, right-tailed test. Critical value of z (c) 5 percent level of significance, left-tailed test. Critical value of z
Answers
Using hypothesis testing, the critical value of z for a 5 percent level of significance, left-tailed test is -1.645.
(a) For a 10 percent level of significance, two-tailed test, the critical value of z is:
z_critical = ± invNorm(1 - (0.10/2))
where invNorm is the inverse normal cumulative distribution function. Evaluating this expression gives:
z_critical = ± 1.645
Therefore, the critical value of z for a 10 percent level of significance, two-tailed test is ±1.645.
(b) For a 1 percent level of significance, right-tailed test, the critical value of z is:
z_critical = invNorm(1 - 0.01)
Evaluating this expression gives:
z_critical = 2.326
Therefore, the critical value of z for a 1 percent level of significance, the right-tailed test is 2.326.
(c) For a 5 percent level of significance, left-tailedtest, the critical value of z is:
z_critical = invNorm(0.05)
Evaluating this expression gives:
z_critical = -1.645
Therefore, the critical value of z for a 5 percent level of significance, left-tailed test is -1.645.
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height = 6m
chord = 20 m
We need to find the radius of the circle.
20 m = 2 √ [ 6m( 2 x radius - 6 m ) ]
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the area beneath an arc:
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r * h = 11.333 m x 6 m = 68 m²
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A. 34
B. 48
C. 130
D. 82
Answers
The range of the data values 48, 61, 57, 82, and 79 is 34. This means that the spread or difference between the maximum and minimum values in the dataset is 34.
To find the range of a set of data values, we need to subtract the smallest value from the largest value in the dataset. The range represents the spread or difference between the maximum and minimum values.
Given dataset: 48, 61, 57, 82, 79
Step 1: Arrange the data values in ascending order:
48, 57, 61, 79, 82
Step 2: Find the smallest value (minimum) and the largest value (maximum) in the dataset:
Smallest value = 48
Largest value = 82
Step 3: Calculate the range by subtracting the smallest value from the largest value:
Range = Largest value - Smallest value
Range = 82 - 48
Range = 34
The range of the given data values is 34, which corresponds to option A.
In conclusion, the range of the data values 48, 61, 57, 82, and 79 is 34. This means that the spread or difference between the maximum and minimum values in the dataset is 34.
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Ordering the numbers from least to greatest, we get:
48, 57, 61, 79, 82
highest - lowest = 82-48
82-48=34
the range is 34
Answers
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Answers
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Step-by-step explanation:
Answer:
A. x = 1 1/2
Step-by-step explanation: