Which statement best describes the qualifications for information technology professions

The united states department of agriculture (usda) found that the proportion of young adults ages 20–39 who regularly skip eatin

deff fn [24]

Full Question

The united states department of agriculture (usda) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.238. suppose that lance, a nutritionist, surveys the dietary habits of a random sample of size n=500 of young adults ages 20–39 in the united states.

Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals, ?, in Lance's sample who regularly skip breakfast is greater than 122. You may find table of critical values helpful.

Express the result as a decimal precise to three places.

Answer:

The probability using the Normal Approximation that out of lance’s sample more than 122 people is 0.356

Explanation:

Given

n = Sample Size = 500

p = Probability = 0.238

Using the normal approximation to binomial distribution,

Let X = Event such that a person skips breakfast

If X ~ Binomial (n,p)

Using normal approximation

X ~ Normal (np,npq)

Where n = 500 and p = 0.238

So, X ~ Binomial (n,p) becomes

X ~ Binomial (500 , 0.238)

Using Normal Approximatiom

X ~ (119, 90.678)

The critical table is then constructed as follows;

Binomial --------- Normal

P(X = a) --------- P(a - 0.5 < X < a + 0.5)

P(X ≥ a) --------- P(X > a - 0.5)

P(X > a) --------- P(X > a + 0.5)

P(X ≤ a) --------- P(X < a + 0.5)

P(X < a) --------- P(X < a - 0.5)

Calculating the probability using the Normal Approximation that out of lance’s sample more than 122 people skips

This can be written as P(X > 122)

Looking at the critical table above.

P(X>a) ----- P(X>a + 0.5)

So,

P(X > 122) ---- P(X > 122 + 0.5)

P(X > 122) ---- P(X > 122.5)

Calculating Z score using

z = (x - u)/√σ²

X = 122.5

From X ~ (119, 90.678)

u =mean = 119

σ = standard deviation = √90.678

So,

Z = (122.5 - 119)/√90.678

z = 0.367550550865750

Z = 0.37 ---- Approximated

P(X > 122.5) = P(Z > 0.37)

P(X > 122.5) = 1 - P(Z<0.37) --- using z table

P(X > 122.5) = 1 - 0.6443

P(X > 122.5) = 0.3557

P(X > 122.5) = 0.356 -- Approximated

6 0

4 years ago

if the fixed cost for the Job Shop were changed to $305,000, what would the new break-even point in numbers of units

elena55 [62]

Answer:

The question you have provided is missing important information needed for the calculation of break even point.

However step by step approach for the calculation of the break even point is given below :

Understand what break even point is :

Break even point is the level of operation where a Company neither makes a profit nor a loss.

Break even point in units calculation :

<em>Break even point in units calculation = Fixed Costs for the Period ÷ Contribution per unit</em>

Where, <em>Contribution per unit = Selling Price per Unit less Variable Cost (Manufacturing and Non Manufacturing) per unit</em>

Conclusion :

At Break Even Point level,Total Contribution will equal Total Fixed Cost (thus no profit nor loss)

The only data the question provided is :

Fixec Cost - $305,000

7 0

3 years ago

The following materials standards have been established for a particular product: Standard quantity per unit of output 1.7 meter

Maurinko [17]

Answer:

Direct material quantity variance= $6,732 favorable

Explanation:

Giving the following information:

Standard quantity per unit of output 1.7 meters

Standard price $19.80 per meter

Actual materials purchased 5,800 meters

Actual materials used in production 5,100 meters

Actual output 3,200 units

First, we need to determine the standard quantity of material to produce 3,200 units:

Standard quantity= 1.7*3,200= 5,440 meters

Now, using the following formula, we can calculate the direct material quantity variance:

Direct material quantity variance= (standard quantity - actual quantity)*standard price

Direct material quantity variance= (5,440 - 5,100)*19.8= $6,732 favorable

It is favorable because it used less material than estimated.

5 0

3 years ago

suppose the game is infinitely repeated, and the interest rate is 5 percent. both firms agree to charge a high price, provided n

Roman55 [17]

The present interest value of firm b's payoffs is 60%.

Present value of infinite period profit of 20 = current profit + periodic profit / rate of interest = 20 + 20/10% = 220. Select 220

2) Current profit will be 50 but lifetime periodic profit will be 0. Hence present value is 50. Select 50

3) Maximum interest rate is found at

20 > or = 50(1 – d) + 0

20 > or = 50 – 50d

-30 > or = -50d

d is > OR = 30/50 = 60%.

In finance and economics, interest is the price from a borrower or deposit-taking economic institution to a lender or depositor of a quantity above repayment of the most important sum, at a particular rate. it's far distinct from a fee that the borrower may pay the lender or some 1/3 party.

Learn more about interest here: brainly.com/question/24924853

#SPJ4

6 0

2 years ago

Natalia notices that if she does not sleep a lot at night, she feels tired the next day. What relationship (if any) exists betwe

GalinKa [24]

Answer:

The correct answer is letter "B": There is a negative correlation.

Explanation:

In the world of Finance, Correlation is a statistical measure of how two securities move in relation to each other. Correlation is represented by the correlation coefficient with ranges between (-1) and (+1). When two variables move in a similar direction, they are considered positively correlated. If the variable move in different directions they are negatively correlated.

5 0

4 years ago