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lawyer [7]
3 years ago
12

The Commerce Department reported receiving the following applications for the Malcolm Baldrige National Quality Award: 23 from l

arge manufacturing firms, 18 from large service firms, and 30 from small businesses. What percentage of the applications came from small businesses (to 1 decimal)?
Mathematics
2 answers:
Mrac [35]3 years ago
7 0

Answer:

42.3%

Step-by-step explanation:

to calculate the percentage of the applications from small businesses, the first step is to find the total number of applications received from all the firms

total number of awards = 23 + 18 + 30

                                      =71 awards

percentage of applications from small businesses = \frac{30}{71} × 100

                                                                                  =42.2535

                                                                                ≈42.3% to 1 decimal place

42.3% of the applications came from small businesses

Rzqust [24]3 years ago
4 0

Answer:

42.2% of the applications came from small businesses

Step-by-step explanation:

the percentage of applications that came from small businesses can be calculated through:

percentage from small businesses = applications from small businesses / total number of applications = 30 / (23+18+30) = 0.422 (42.2%)

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A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those date
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Answer:

Confidence interval variance [21.297 ; 64.493]

Confidence interval standard deviation;

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Step-by-step explanation:

Given :

Variance, s² = 34.34

Standard deviation, s = 5.86

Sample size, n = 27

Degree of freedom, df = 27 - 1 = 26

Using the relation for the confidence interval :

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From the chi distribition table :

X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844

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[34.34*26 / 41.923] ; [34.34*26 / 13.844]

[21.297 ; 64.493]

The 95% confidence interval for the population variance is :

21.297 < σ² < 64.493

Standard deviation is the square root of variance, hence,

The 95% confidence interval for the population standard deviation is :

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