We feel that more than 10% of Americans lost someone due to inability to pay for healthcare from 2014-2019. From 655 Americans we find 88 that did lose someone due to inability to pay for healthcare. Test the claim using a = 0.10

1. What is the claim? What are the null and alternate hypotheses? Will it be a one or two tailed test?

2. Do we use z-scores or nothing? Why?

3. Define the rejection region. Put it into words also.

4. Summarize the sample information and then find z*. Also find the p-value.

5. What is your conclusion?

6. Looking back at number 1, state the two types of error possible.

Darren is considering adding three one‑year bonds to his portfolio. The face value on each bond is equal to $1,000.

If the current market interest rate is 44%, determine the present value (PV) of each bond. Enter your answers to two decimal places.

PV ABC : $

PV GHI: $

PV DEF: $

QUESTION 50

1. Suppose the income tax rate is 0 percent on the first $10,000; 10 percent on the next $20,000; 20 percent on the next $20,000; 30 percent on the next $20,000; and 40 percent on all income above $70,000. Family A has income of $100,000 while Family B has income of $40,000. The marginal tax rates faced by the two families are

   		30 percent on A and 30 percent on B.
   		40 percent on A and 10 percent on B.
   		40 percent on A and 20 percent on B.
   		30 percent on A and 20 percent on B.

Do all hypothesis testing steps here:

Presented below are scores on two tests. The teacher wants to know if there is a relationship between the two tests. The following data is from a group of participants for their performance on a test of perceptual skills and on a test of reading ability.

A.Also make a scatterplot (by hand) for this data. (this is your hint it's a Pearson’s R)

B.Calculate the regression equation for predicting scores on the Y’(Reading test) variable.

C.Predict Y for X = 17

D.Predict Y for X = 20

(X)Perceptual Test: 15 14 10     9    8 8       7 6   4        2

(Y)Reading Test: 4     6      4   8    7       8 10      9 14 12   

Remember these are paired up so the N=10

Twenty laboratory mice were randomly divided into two groups of 10. Each group was fed according to a prescribed diet. At the end of 3 weeks, the weight gained by each animal was recorded. Do the data in the following table justify the conclusion that the mean weight gained on diet B was greater than the mean weight gained on diet A, at the α = 0.05 level of significance? Assume normality. (Use Diet B - Diet A.)

(a) Find t. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer correct to four decimal places.)

The number of customer arrivals at a bank's drive-up window in a 15-minute period is Poisson distributed with a mean of seven customer arrivals per 15-minute period. Define the random variable x to be the time (in minutes) between successive customer arrivals at the bank's drive-up window. (a) Write the formula for the exponential probability curve of x. (c) Find the probability that the time between arrivals is (Round your answers to 4 decimal places.) 1.Between one and two minutes. 2. Less than one minute 3. More than three minutes. 4. Between 1/2 and 3½ minutes. (d) Calculate μx, σ2x , and σx. (e) Find the probability that the time between arrivals falls within one standard deviation of the mean; within two standard deviations of the mean. (Round your answers to 4 decimal places.)

21.5% of flowers of a certain species bloom "early" (before May 1st). You work for an arboretum and have a display of these flowers

a) In a row of 35 flowers, what is the probability that 8 will bloom early?

b) In a row of 35 flowers, what is the probability that fewer than 9 will bloom early?

c) As you walk down a row of these flowers, how many flowers do you expect to have to observe (on average) in order to see the first one that blooms early? (Keep your answer as a decimal.)

d) In a row of 50 flowers, what is the probability that more than 8 will bloom early?

e) In a row of 50 flowers, what is the probability that between 8 and 14 (inclusive) will bloom early?

f) In a row of flowers, what is the probability that you will have to observe 6 flowers in order to see the first one that blooms early?

g) In a row of flowers, what is the probability that you will observe more than 7 flowers to see the first one that blooms early?

Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean μ = 83 and estimated standard deviation σ = 44. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed.

(a) What is the probability that, on a single test, x < 40? (Round your answer to four decimal places.)

What is the probability that x < 40? (Round your answer to four decimal places.) Repeat part '

(b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)

Repeat part (b) for n = 5 tests taken a week apart. (Round your answer to four decimal places.)

Problem 1:

Raner, Harris & Chan is a consulting firm that specializes in information systems for medical and dental clinics. The firm has two offices—one in Chicago and one in Minneapolis. The firm classifies the direct costs of consulting jobs as variable costs. A contribution format segmented income statement for the company’s most recent year is given:

Assume that Minneapolis’ sales by major market are:

The company would like to initiate an intensive advertising campaign in one of the two market segments during the next month. The campaign would cost $11,200. Marketing studies indicate that such a campaign would increase sales in the Medical market by $98,000 or increase sales in the Dental market by $84,000.

Required:

1. How much would the company's profits increase (decrease) if it implemented the advertising campaign in the Medical Market?

2. How much would the company's profits increase (decrease) if it implemented the advertising campaign in the Dental Market?

1. Flip a fair coin ten times. Find the probability of at least seven heads.

2. Draw five cards at once from a deck. Find the probability of getting two pairs.

3. Roll a die infinitely times. Find the probability that you see an even number before you see an one.

4. You and your friend take turns to draw from an urn containing one green marble and one hundred blue marbles, one at a time and you keep the marble. Whoever draw the green marble wins. Suppose you draw first. What is the probability that you win?