Mathematics, 12.02.2020 01:20 stevend0599

For the most recent year available, the mean annual cost to attend a private university in the United States was $20,232. Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,350.

Ninety-five percent of all students at private universities pay less than what amount? (Round z value to 2 decimal places and your final answer to the nearest whole number

Answers: 1

Show answers

Answers

Answer from: lauren21bunch

Ninety-five percent of all students at private universities pay less than $27,366.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 20232, \sigma = 4350$

Ninety-five percent of all students at private universities pay less than what amount?

They will pay less than the 95th percentile, that is, less than X when Z = 1.64. So

$Z = \frac{X - \mu}{\sigma}$

$1.64 = \frac{X - 20232}{4350}$

X - 20232 = 1.64*4350

X = 27366

Ninety-five percent of all students at private universities pay less than $27,366.

Answer from: DissTrack

Step-by-step explanation:

Since the cost to attend a private university in the United States, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = cost to attend a private university.

µ = mean cost

σ = standard deviation

From the information given,

µ = $20232

σ = 4350

The probability of Ninety-five percent of all students at private universities is 0.95. Looking at the normal distribution table, the z is score corresponding to 0.95 is 1.65

Therefore

1.645 = (x - 20232)/4350

Cross multiplying, it becomes

1.65 × 4350 = x - 20232

x = 7177.5 + 20232 = 27409.5

x = 27410 to the nearest whole number

Answer from: Quest

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

what is the figure? attach a picture.

Another question on Mathematics

Mathematics, 21.06.2019 16:00

To make a monster appear large in a movie, a human actor wore a costume and walked through a scale model of a city. the scale used was 1 inch = 15 feet. the actor is 60 inches tall. how tall does the monster appear in the movie? question 5 options: 720 feet 75 feet 4 feet 900 feet

Answers: 2

Answer

Mathematics, 21.06.2019 16:30

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

The radius of a sphere is 3 inches. which represents the volume of the sphere?

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Julie goes to the sports store and spends $40.50 before tax. she buys a pair of shorts for $21.75 and 3 pairs of socks that each cost the same amount. how much does each pair of socks cost? $$

Answers: 1

Answer

You know the right answer?

For the most recent year available, the mean annual cost to attend a private university in the Unite...

Questions

Mathematics, 10.11.2019 05:31

Select the postulate or theorem that you can use to conclude that triangles are similar.