Answer:
(a) The 95% confidence interval for the population mean stress level is (73, 83).
(b) Increasing the confidence level to 99% from 95% the margin of error would be greater than 5.
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population mean is:
The information provided is:
= 78
Confidence level = 95%
MOE = 5
(a)
Compute the 95% confidence interval for the population mean stress level as follows:
Thus, the 95% confidence interval for the population mean stress level is (73, 83).
(b)
The formula to compute the margin of error (MOE) is:
The margin of error is affected by:
- Standard deviation
- Sample size
- Confidence level.
On increasing the confidence level the critical value of <em>z</em> increases.
And if the critical value is increased then the margin of error will also increase.
Thus, increasing the confidence level to 99% from 95% the margin of error would be greater than 5.
Answer:
66
Step-by-step explanation:
What is the angle of elevation θ that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.
Distance from Home plate to the center field fence: 425 ft
Height of the center field fence: 8 ft
____________________________
ANSWER:
The fence height = 8ft
The fence height takes 2 ft from the ground and doesn't count towards the angle.
Therefore subtract the difference = 8-2 = 6ft
The fence height from the 2ft to the fence top = 6ft
Angle of elevation (θ):
Tan(θ) = opposite/adjacent
Adjacent = Distance from Home plate to the center field fence = 425 ft
Opposite = 6ft
- Tan(θ) = 6/425
- Tan(θ) = 0.0141
- θ = arctan(0.0141)
- arctan = inverse of tangent = tan-¹
- θ = 0.8078°
- Angle of elevation (θ) = 0.81°
Option D: is the equation of line in point - slope form
Explanation:
Given that the slope is and the point
We need to determine the equation of the line in point - slope form.
The point - slope form can be determined using the formula,
Let us substitute the point and the slope in the above formula.
Thus, we have,
Simplifying the terms, we get,
Thus, the equation of the line in point - slope form is
Therefore, Option D is the correct answer.