Question

Statistics For Business And Economics

The National Center for Health Statistics has estimated the life expectancy of males and females at birth over a multiple year period. The 15-year data sample of life expectancy is summarized in the following table:

We are interested in obtaining the linear relationship between year of birth (YEAR) and life expectancy (LE). Analysis has shown the life expectancy for males follows the relationship:

LE = 0.143*YEAR-212.5

You are expected to obtain the life expectancy relationship for females over the same time period. You may use Excel to tabulate the summations, but not to calculate any of the parameters of the regression analysis directly.

\text { a) Calculate } \boldsymbol{\Sigma} X_{\boldsymbol{i}} \text {. (You may calculate this table in Excel). }

\text { b) Calculate } \bar{\Sigma} Y_{i} \text {. (You may calculate this table in Excel). }

\text { c) Calculate } \bar{\Sigma} X_{i} X_{i} \text {. (You may calculate this table in Excel). }

\text { d) Calculate } \sum Y_{i} Y_{i} \text {. (You may calculate this table in Excel). }

\text { e) Calculate } \sum X_{i} Y_{i} \text {. (You may calculate this table in Excel). }

Using the least squares approach, calculate the slope m and y-intercept b for the straight line which best fits the data in the table. You may NOT use Excel.

Calculate the coefficient of correlation, r, for the line found in step f. You may NOT useExcel.

plot both the male and female data found in the table along with the trend line evaluated in step f. You may present the plot using Excel output.  Verified  ### Question 45696  Statistics For Business And Economics

(1 point) A biotechnology company produced 182 doses of somatropin, including 12 which were defective. Quality control test 14 samples at random, and rejects the batch if any of the random samples are found defective. What is the probability that the batch gets rejected?

### Question 45695  Statistics For Business And Economics

(1 point) Assume that the monthly worldwide average number of airplaine crashes of commercial airlines is 2.2. What is the probability that there will be
(a) at most 5 such accidents in the next month?
(b) less than 4 such accidents in the next 3 months?
(c) exactly 8 such accidents in the next 5 months?

### Question 45694  Statistics For Business And Economics

(1 point) A certain typing agency employs two typists. The average number of errors per article is 1 when typed by the first typist and 3.2 when typed by the second. If your article is equally likely to be typed by either typist, find the probability that it will have no errors.

### Question 45693  Statistics For Business And Economics

(1 point) The mean number of patients admitted per day to the emergency room of a small hospital is 2. If, on any given day, there are only 7 beds available for new patients,what is the probability that the hospital will not have enough beds to accommodate its newly admitted patients?

### Question 45692  Statistics For Business And Economics

nt) Given that x is a random variable having a Poisson distribution, compute the following:
\text { (a) } P(x=7) \text { when } \mu=0.5
P(x \leq 6) \text { when } \mu=4.5
\text { c) } P(x>3) \text { when } \mu=5.5
P(x<9) \text { when } \mu=4.5

### Question 45691  Statistics For Business And Economics

B. Compute the probability that in the next 8 hours, more than 24 cars will arrive.
A. Determine the probability that over the next hour, only one car will arrive.
Cars arriving for gasoline at a Shell station follow a Poisson distribution with a mean of 9 per hour.

### Question 45690  Statistics For Business And Economics

Complaints about an Internet brokerage firm occur at a rate of 5 per day. The number of complaints appears to be Poisson distributed.
A. Find the probability that the firm receives 4 or more complaints in a day.
Probability =%3D
B. Find the probability that the firm receives 22 or more complaints in a 5-day period.
Probability =

### Question 45689  Statistics For Business And Economics

Flaws in a carpet tend to occur randomly and independently at a rate of one every 150 square feet. What is the probability that a carpet that is 9 feet by 13 feet contains noflaws?
Probability:

### Question 45688  Statistics For Business And Economics

The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 3.4 per week. Find the probability of the following events.
.4 or more accidents occur in a week.
A. No accidents occur in one week.
One accident occurs today.

### Question 45687  Statistics For Business And Economics

(1 point) An airline company is considering a new policy of booking as many as 271 persons on an airplane that can seat only 260. (Past studies have revealed that only 89%of the booked passengers actually arrive for the flight.) Estimate the probability that if the company books 271 persons. not enough seats will be available.

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