12. The data below shows the annual salaries​ (in millions) and the number of viewers​ (in millions) of eight television actors and actresses. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value using a=0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two​ variables?

Salary_(x)            Viewers_(y)

91           17

13           4.7

15           5.3

30           1.5

10           10.6

5              9.8

7              13.2

4              4.6

Construct the scatterplot.

The linear correlation coefficient r is _____

(Round to three decimal places as​ needed.)

The test statistic t is _____

(Round to three decimal places as​ needed.)

The​ P-value is ______

(Round to three decimal places as​ needed.)

Because the​ P-value is (greater,less) than the significance level 0.05​, there (is not, is) sufficient evidence to support the claim that there is a linear correlation between selling price​ (in hundred​ thousands) and the list price​ (in hundred​ thousands) of homes sold for a significance level of a=0.05.

Suppose that in a large population of students, the mean amount of sleep the previous night was μ = 7.15 hours and the standard deviation was σ = 1.5 hours. Consider randomly selected samples of n = 240 students.

(a) What is the value of the mean of the sampling distribution of possible sample means?
Mean =  

(b) Calculate the standard deviation, s.d., of the sampling distribution of possible sample means. (Round your answer to three decimal places.)

s.d.(x)

=

(c) Use the Empirical Rule to find values that fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.)

For 68% of all randomly selected samples of n = 240 students, the mean amount of sleep the previous night will be between  and  hours.

(d) Use the Empirical Rule to fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.)

For 95% of all randomly selected samples of n = 240 students, the mean amount of sleep will be between  and  hours.

Genetic analysis has shown that three recessive genes d (dwarf), e (enlarged trunk) and f (fine leaf) are all found on chromosome #1 of apple. When a plant that was heterozygous for each of these markers was testcrossed, the following 1000 progenies were obtained:

wild type- 130 (+++)

fine leaf- 19 (++f)

enlarged trunk- 2 (+e+)

enlarged trunk, fine leaf – 350 (+ef)

dwarf -362 (d++)

dwarf, fine leaf -1 (d+f)

dwarf, enlarged trunk -16 (de+)

dwarf, enlarged trunk, fine leaf- 120 (def)

a) Determine the central gene.

b) Calculate recombination frequencies between each of these three pairs of genes.

c) Draw a genetic map for the location of these 3 genes on chromosome #1 of apple. Show the map distances (cM or m.u.) between each loci.

d) Determine the interference among crossover events within the region of the chromosome containing the three genes.

Managers are required to make many tough decisions over the course of a work day. One of the tough decisions a manager may be faced with is the decision to drop an existing customer from their portfolio.

Some companies refuse to drop customers (including non-profitable customers) in the hopes that these unprofitable customers will become profitable in the future.

Other companies do not want unprofitable customers impacting their bottom line year after year and choose to drop them.

In your opinion, when should unprofitable customers be dropped (if at all)? Provide personal examples or research to help support your arguments.

The average number of customers visiting the science center was 800 per day last year and the populations standard deviation is 250 customers per day.

1. In a span of a month, i.e. 30 days, write out the distribution of the sample mean

2. What is the probability that the sample mean is over 275 customers per day in a month?

3. What is the probability that the sample mean is less than 275 customers per day in a month?

4. A good month means the average number of customers is more than the average of 95% of the other month. Determine the criteria of a good month.

Assume a standard customer, Johnny Rose, at a shop will spend 20 mins in the shop. The shop has 4 customers on average and service time is random with known distribution. The shop has 4 customers on average and service time is random with known distribution. How many customers does the shop serve during a typical open hour?

Now let's say the shop would like to decrease the average number of customers at any point, but assume it cannot control/influence arrival patterns of customers or service rate. How can this be achieved? Support with calculations and clear principles.

Hank would like to know how many customers are entering his propane store within a given timeframe.  Prior data indicate that on average 8 customers arrive in a given hour.

a. Create the appropriate probability distribution below for 0-12 arrivals.

b. What is the probability that 8 or fewer customers will arrive in the next hour?

c. What is the probability that exactly 10 customers arrive in the next hour?

d. What is the probability that more than 12 customers will arrive in the next hour?

e. How likely is it that Hank has a "large crowd" entering his store in the next hour?

QUESTION 19

1. Health care insurance or health insurance is a contract between a poliyholder and a third-party payer or government health program. It exists to reimburse the policyholder for all or a portion of the cost of medically necessary treatment or preventive care provided by health care professionals.

   True

   False

3 points   

QUESTION 20

1. The POR is a systematic method of documentation that includes a database, problem list, initiitial plan and progress notes.

   True

   False

QUESTION 24

1. HIPAA has never established a security rule.

   True

   False

QUESTION 27

1. Residents in a teaching hospital are not allowed to document physicians services in the patient's medical record.

   True

   False

3 points   

QUESTION 28

1. Patients have right of access to medical records but do not own the original record.

   True

   False

Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive. What is the probability that the number will be more than 5 or odd? (Enter your probability as a fraction.)

Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number.)

rolling a 4 or doubles

Use the data in the table below, which shows the employment status of individuals in a particular town by age group.

If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?

The age distribution for the employees of a highly successful “start-up” company head-quarted in Jakarta is shown in the following data. Age 20 21 22 23 24 25 26 27 28 29 30 31 32 33 Proportion 0.02 0.04 0.05 0.07 0.04 0.02 0.07 0.02 0.11 0.07 0.09 0.13 0.15 0.12 An employee is to be randomly selected from this population.

a. Can the relative frequency distribution in the table be interpreted as a probability distribution? Explain.

b. Graph the probability distribution.

c. What is the probability that the randomly selected employee is under 30 years old?

d. What is the probability that the randomly selected employee is over 40 years old?

e. What is the probability that the randomly selected employee will be between 25 to 30 years old?