A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 90 and standard deviation σ = 27. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)

(a) x is more than 60

(b) x is less than 110

(c) x is between 60 and 110

(d) x is greater than 125 (borderline diabetes starts at 125)

You are interested in finding a 95% confidence interval for the mean number of visits for physical therapy patients. The data below show the number of visits for 10 randomly selected physical therapy patients.

a. To compute the confidence interval use a ? z t  distribution.

b. With 95% confidence the population mean number of visits per physical therapy patient is between  and   visits.

c. If many groups of 10 randomly selected physical therapy patients are studied, then a different confidence interval would be produced from each group. About  percent of these confidence intervals will contain the true population mean number of visits per patient and about  percent will not contain the true population mean number of visits per patient.

You want to compare the community diversity of two bird populations in Indonesia. The bird communities were surveyed in a pristine unlogged forest and in a selectively logged lowland. What is the Shannon Diversity Index for Community 2 and how does the diversity of community 2 compare to community 1?

a)Hs = 1.022; Diversity between the two communities is equal
b)Hs = 1.45; Diversity in Community 2 is greater
c) Hs = 0.85; Diversity in Community 2 is lower
d)Hs = 0.91; Diversity in Community two is lower
e)Hs = 1.32 Diversity in Community two is higher

The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asked the chief of police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The chief gathered the following sample information: City Police # of crimes City Police # of crimes Oxford 15 17 Holgate 17 7 Starksville 17 13 Carey 12 21 Danville 25 5 Whistler 11 19 Athens 27 7 Woodville 22 6 a) Determine the regression equation. (Show your work) b) Determine the number of crimes for a city with 20 police officers. c) Determine the standard error of estimate. d) Determine the coefficient of determination. Interpret the coefficient of determination

Income (in 1960 dollars/person) for European countries and the percent of the labor force (in %) that works in agriculture in 1960 are in the table below ('OECD economic development,' 2013). Test at the 8% level for a negative correlation between percent of labor in agriculture and income of European countries.

What is H0:

What is HA:

Test statistic, t=

t=r√(1−(r)2(n−2))t=r(1-(r)2(n-2)) =

Make a decision

State a conclusion

question 27

This morning, Alicia bought a ten-year 8% coupon bond that pays interest annually. She paid $994 for a $1,000 bond. If the market interest rate on this type of bond declines to 6.5% tonight, how much will Alicia receive for her first interest payment?

Select one:

a. $69.58

b. $40.00

c. $32.31

d. $80.00

e. $70.00

question 26

Your portfolio consists of two stocks. You have $2500 in stock A and $7500 in stock B. The returns for stock A have a standard deviation of 20% and the returns for stock B have a standard deviation of 10%. The correlation coefficient between A and B is 0.1. What is your portfolio standard deviation?

Select one:

a. 9.4%

b. 10.5%

c. 6.8%

d. 11.2%

e. 10.2%

Problem 1:

An ophthalmologist’s office operates 52 weeks per year. It purchases disposable contact lenses for $11.70 per pair. The following information is available about these lenses.

Demand = 90 pairs/week

Order cost = $54/order

Annual holding cost = 27% of purchasing cost

Desired cycle-service level = 80%

Lead time = 3 weeks

Standard deviation of weekly demand = 15 pairs

Current on-hand inventory is 320 pairs, with no open orders or backorders.

Part I   Currently, the company uses a continuous review system,

A) What is the EOQ? What would be the average time between orders (in weeks)?

B) What should be the safety stock? What should the reorder point be?

c) An inventory withdrawal of 10 pairs was just made. Is it time to reorder?

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 82 and standard deviation σ = 27. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)

(a) x is more than 60


(b) x is less than 110


(c) x is between 60 and 110


(d) x is greater than 125 (borderline diabetes starts at 125)

. Dr. Chappel wishes to investigate the relationship between birthweight and the estriol level of pregnant women. A random sample of eight women were chosen in a Houston hospital and Dr. Chappel tabulated her data as follows.

1. Calculate Pearson’s correlation coefficient r.
2. Calculate a t statistic that can be used to test whether the amount of exercise and blood pressure are correlated.
3. If the above test is performed at the 5% level, write down the critical value and specify the number of degrees of freedom that you use to determine the critical value.
4. Draw you conclusion at the 5% level.