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erastova [34]
3 years ago
11

The average time spent sleeping (in hours) for a group of medical residents at a hospital can be approximated by a normal distri

bution. The average is 6.1 hours with a standard deviation of 1 hour. a. What is the shortest time spent sleeping that would place a resident in the top 5% of sleeping times
Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Answer:

7.75 hours

Step-by-step explanation:

Given that:

Mean, m = 6.1

Standard deviation, s = 1

Shortest Time spent sleeping in other to be in top 5% of sleeping time.

5% = 0.05

Zscore for P(Z > 0.05) = 1.645 (Z probability calculator)

To obtain the shortest time, x

Zscore = (x - m) / s

1.645 = (x - 6.1) / 1

1.645 = x - 6.1

1.645 + 6.1 = x

7.745 = x

x = 7.75

Sgirtws sleep time = 7.75 hours

You might be interested in
Is -3 a natural number a whole number a integer a rational number or irrational number
BaLLatris [955]

Answer:

-3 is a rational integer.

Step-by-step explanation:

An integer is a superset of the whole numbers that includes the negated values as well as 0.

A rational number is simply anything that can be expressed as a fraction.

-3 is by these definitions, a negated 3, and any non fractional number can be expressed as a fraction.

-3 is not a natural number, as that is the set of numbers {1, 2, 3, 4, 5, ... etc} and -3 is not a whole number, as that is the set of numbers {0, 1, 2, 3, 4, ... etc}.

And -3 is also not an irrational number since it can be expressed as a fraction.

Thus, -3 is a rational integer.

Cheers.

7 0
3 years ago
UDISJKDFJSFJDGLFS HELP
zhuklara [117]

Answer:

I think E

Step-by-step explanation:

You know the shortest building is 25 m.

to find the rest, use trigo so Tan(20)=opposite/adjacent.

Adjacent is 50. Do the math and add the answer with 25.

4 0
3 years ago
Read 2 more answers
Researchers at Gallup were interested in whether there was a decrease in the proportion of nonretirees (in other words, people w
Lera25 [3.4K]

Answer:

A. We have extremely strong evidence to reject H0.

Step-by-step explanation:

Let P be the proportion of non-retirees in 2015 who did not think that Social Security would be able to pay a retirement benefit by the time that they retire.

According to the data null and alternative hypotheses should be:

  • H_{0}: P=0.60
  • H_{a}: P<0.60

Test statistics is -4.29 and p-value of the statistics is p<0.001

At every significance levels higher than 0.001, we can reject the null hypothesis since p<0.001.

8 0
4 years ago
José sets up computers. He has been working
lakkis [162]
Correct answer should be= 1.5 hours.
3 0
3 years ago
Continuing the pattern, what do the following terms equal?
rodikova [14]

The series formed by using exponential property we get : \frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} .

What is Exponential Property?

  • Properties of Exponents : It is also called power or degree.
  • It tells us how many times the base will be multiplied by itself.
  • The properties of exponents or laws of exponents are wont to solve problems involving exponents.
  • These properties also are considered as major exponents rules to be followed while solving exponents.

Using exponential property on given values we get,

2^1=1/ 2\\2^2=1/4\\2^3=1/8\\2^4= 1/16\\2^5= 1/32\\2^6 = 1/64\\2^7 = 1/128\\2^8 = 1/256\\2^9 = 1/512\\2^10 = 1/1024\ ...

Complete series using exponent property is:\frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} ,

Learn more about exponential property here:

brainly.com/question/25633462

#SPJ9

4 0
2 years ago
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