Which answer is correct

A large university offers STEM (science, technology,engineenng. and mathematics) intemshups to women in STEM majors at the unive

ValentinkaMS [17]

Answer:

a) Probability of a randomly sampled women not being qualified for the internship = 0.223

b) Probability that at least 30 percent of the women in the sample will not meet the age requirement for the internships = 0.03216

c) A woman who does not meet the age requirement is more likely to be selected with a stratified random sample than with a simple random sample.

Step-by-step explanation:

Age | Probability

17 | 0.005

18 | 0.107

19 | 0.111

20 | 0.252

21 | 0.249

22 | 0.213

23 or older | 0.063

a) Only 20+ year olds are qualified for the internship

So, probability of being qualified for the internship = P(x ≥ 20)

Probability of not being qualified for the internship = P(x < 20) = P(x=17) + P(x=18) + P(x=19) = 0.005 + 0.107 + 0.111 = 0.223

b) According to the Central limit theorem, a sampling distribution of sample size as large as 100 selected from this population distribution will approximate a normal distribution. It also has that

Mean proportion of sampling distribution of women who do not meet the internship requirements = Population proportion of women who do not meet the internship requirements = p = 0.223

The standard deviation of the is given by

σₓ = √[p(1-p)/n]

n = sample size = 100

σₓ = √[(0.223×0.777)/100] = 0.041625833 = 0.04163

So, to obtain the probability that at least 30 percent of the women in the sample will not meet the age requirement for the internships

P(x ≥ 0.30)

We first standardize 0.30

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (0.30 - 0.223)/0.04163 = 1.85

The required probability

P(x ≥ 0.30) = P(z ≥ 1.85)

We'll use data from the normal probability table for these probabilities

P(x ≥ 0.30) = P(z ≥ 1.85) = 1 - P(z < 1.85)

= 1 - 0.96784 = 0.03216

c) Probability of women not meeting the internship requirements = 0.223

Probability of women meeting the internship requirements = 1 - 0.223 = 0.777

Or

Probability of women meeting the internship requirements = P(x ≥ 20)

= P(x=20) + P(x=21) + P(x=21) + P(x ≥ 23) = 0.777

But as the stratified sample only contains women who do not meet the internship requirements, it is more likely that A woman who does not meet the age requirement is selected with a stratified random sample than with a simple random sample.

Hope this Helps!!!

4 0

3 years ago

I only need help with 15,16,17,18 please help me

blagie [28]

Okay, so to find like denominators you need to find a number that both denominators go into. For 15, they both go into 45. 9 goes in 5 times and 15 goes in 3 times. So multiply their numerators by 5 and 3. It would be 25/45 for 5/9 and it would be 12/45 for 4/15. Do the same for 16 and 17, for 16 they both go into 42 and for 17 they both go into 42.

7 0

4 years ago

Read 2 more answers

How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compoun

algol [13]

Answer:

Matthew's money will double fastest in 6 years.

Step-by-step explanation:

The complete question is

Answer the question for each scenario by applying the rule of 72. How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%. Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%. Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%. Whose money will double fastest?

we know that

The Rule of 72 is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return.

so

Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%

$\frac{72}{12}=6\ years$

Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%.

$\frac{72}{8}=9\ years$

Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%

$\frac{72}{4.5}=16\ years$

therefore

Matthew's money will double fastest in 6 years.

7 0

3 years ago

How does the volume of a sphere compare to that of a cylinder with a height and radius equal to the radius of the sphere?

disa [49]

1) The height of the cylinder is equal to the diameter of the sphere.

3) The radius of the sphere is half the height of the cylinder.

5) The volume of the sphere is two-thirds the volume of the cylinder.

Hope this helped! :)

8 0

3 years ago

A 1-ounce serving of cream cheese contains 8.3 grams of saturated fat. How much saturated fat is in 7 ounces of cream cheese?

alexandr402 [8]

Answer: = 58.1 ounces of saturated fat

Step-by-step explanation:

If 1 ounce of cream contains 8.3 grams of saturated fat, 7 ounces would be 7 times that amount:

= 8.3 * 7

= 58.1 ounces of saturated fat

4 0

3 years ago