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Nataliya [291]
1 year ago
6

A company that makes hair-care products had 5,000 people try a new shampoo. Of the 5,000 people, 15 had a mild allergic

Mathematics
1 answer:
Stels [109]1 year ago
6 0

A manufacturer of hair care products tested a new shampoo on 5,000 people, and 0.3 percent of the participants experienced a moderate allergic response. 15 of the 5,000 individuals experienced a minor allergic response.

<h3>Define percentage.</h3>

The easiest approach to utilizing percentages is to compare two numbers while setting the second amount's base to 100. Consider for a moment that we are interested in the proportion of working women. A percentage (%) is a number that represents how many out of 100 it is and may also be written as a decimal or fraction. To convert a percentage to a fraction, place the percentage's value in the numerator and 100 in the denominator.

Given,

15 of the 5,000 individuals experienced a minor allergic response.

Dividing the percentage of the population that had a minor reaction.

15 ÷ 5000

0.003

Multiplying it by 100 for percentage:

0.003 × 100%

0.3%

0.3% percent of the people had mild allergic reactions.

To learn more about percentages, visit:

brainly.com/question/18509159

#SPJ1

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Weights were recorded for all nurses at a particular hospital, the mean weight for an individual nurse was 135 lbs. with a stand
Aloiza [94]
Given:
population mean, &mu; =135
population standard deviation, &sigma; = 15
sample size, n = 19

Assume a large population, say > 100,
we can reasonably assume a normal distribution, and a relatively small sample.
The use of the generally simpler formula is justified.

Estimate of sample mean
\bar{x}=\mu=135

Estimate of sample standard deviation
\s=\sqrt{\frac{\sigma^2}{n}}
=\sqrt{\frac{15^2}{19}}=3.44124  to 5 decimal places.

Thus, using the normal probability table,
P(125
=P(\frac{125-135}{3.44124}
=P(-2.90593
=P(Z
=P(Z

Therefore 
The probability that the mean weight is between 125 and 130 lbs 
P(125<X<130)=0.0731166-0.0018308
=0.0712858



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