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JoeWeiss674
27.05.2021 •
Mathematics
Work Time Lost due to Accidents At a large company, the Director of Research found that the average work time lost by employees due to accidents was hours per year. She used a random sample of employees. The standard deviation of the sample was hours. Estimate the population mean for the number of hours lost due to accidents for the company, using a confidence interval. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to the nearest whole number.
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Ответ:
(95.215 ; 100.785)
(95 ; 101) (nearest whole number)
Step-by-step explanation:
To obtain the confidence interval :
Mean ± margin of error
Mean = 98 hours
Margin of Error = Tcritical * (s/√n)
samole standard deviation, s = 5.6 hours
df = n - 1 = 18 - 1 = 17
Tcritical at (0.05, df = 17) = 2.110
Hence ;
Margin of Error = 2.110 * (5.6/√18) = 2.785
Confidence interval :
98 ± 2.785
Lower boundary = 98 - 2.785 = 95.215
Upper boundary = 98 + 2.785 = 100.785
(95.215 ; 100.785)
Ответ:
Cylinders have two circular bases
Cones have one circular base
The lateral area of a cylinder is related to circumference of the circular bases.
Step-by-step explanation:
In Determining the statements that characterize cylinders and cones. All that apply in this context are :
1) Cylinders have two circular bases
2) Cones have one circular base
3) The lateral area of a cylinder is related to circumference of the circular bases.
Furthermore, in a general context, A cylinder has traditionally been or comprises of a three-dimensional solid, one of the most basic of curvilinear geometric shapes or curves. It is the idealized version of a solid physical tin can which processed lids on top and bottom. While a cone is a three-dimensional geometric shape or a set of line segment that taper smoothly from a flat base (though not necessarily, but mostly circular) to a point called the vertex.