Mathematics, 14.07.2019 00:00 Animallover100

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.9 cm. a. find the probability that an individual distance is greater than 212.50 cm. b. find the probability that the mean for 25 randomly selected distances is greater than 198.70 cm. c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

Answers: 1

Show answers

Answers

Answer from: samtuck33

$z = \dfrac{ 212.50 - 200}{8.9} = 1.4$

Looking up 1.4 in the standard normal table,

P(z1.4) = 1 - .9192 = 0.0808

8.1%

The standard deviation of the average is the standard deviation of an individual sample divided by the square root of n.

$z = \dfrac{198.70 - 200}{ 8.9/\sqrt{25} } = - .7303$

P(z -.7303) = 1 - P( z .7303) = P(z < .7303) = .7674

76.7%

We know the data is normal so so is its sum and average. The standard deviation of the individual observations is given so the standard deviation of an average of n is easily calculated. We use t tests when we're estimating the standard deviation from the data.

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Answer from: Quest

answer: i think one of the answer is $150 and $300?

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 12:50

Tori examined the pattern of exponents in the table. based on the pattern, which statements are true? check all that apply.

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

Arecipe calls for 32 fluid ounces of heavy cream.how many 1 pint containers of heavy cream are needed to make the recipe?

Answers: 2

Answer

Mathematics, 21.06.2019 22:30

According to the 2008 u.s. census, california had a population of approximately 4 × 10^7 people and florida had a population of approximately 2 × 10^7 people. which of the following is true? a. the population of california was approximately two times the population of florida. b. the population of florida was approximately twenty times the population of california. c. the population of florida was approximately two times the population of california. d. the population of california was approximately twenty times the population of florida.

Answers: 1

Answer

Mathematics, 21.06.2019 23:20

Triangle xyz, with vertices x(-2, 0), y(-2, -1), and z(-5, -2), undergoes a transformation to form triangle x? y? z? , with vertices x? (4, -2), y? (4, -3), and z? (1, -4). the type of transformation that triangle xyz undergoes is a . triangle x? y? z? then undergoes a transformation to form triangle x? y? z? , with vertices x? (4, 2), y? (4, 3), and z? (1, 4). the type of transformation that triangle x? y? z? undergoes is a .

Answers: 2

Answer

You know the right answer?

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a s...

Questions