stastitics assignment - 76342

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1 - Doctors measure the weights (in pounds) of preterm babies. What type of data is collected?

       Nominal
       Ordinal
       Interval
       Ratio

2- A sample of 80 juvenile salmon is grouped into the resulting frequency distribution based on their weights.

 

Weight (in grams)

Frequency

100-149

15

150-199

10

200-249

30

250-299

25


 
3 The distribution of the histogram for the weights of the juvenile salmon appears:

       Normal
       Skewed left
       Uniform
       Skewed right

4- Use the following probability distribution for this next question. Biologists researching a certain type of hawk, Accipiter spp., found the following probability values for x, the number of offspring.
 

x

P(x)

0

.05

1

.19

2

.32

3

.21

4

.12

5

.08

6

.03

Find the mean of the probability distribution for offspring of Accipiter spp. . Give your answer to one decimal, e.g., 1.2 .

 

5 - A study by Medtronic, a manufacturer of a cardiac resynchronization device, on 813 patients with severe heart failure yielded the following data:
 

 

Drugs with

Drug Therapy

 

Electrical Cardiac Device

Only

Hospitalized/

159

224

Died

 

 

Not Hospitalized/

250

180

Survived

 

 

 

Find the odds ratio for patients hospitalized or died in the drug therapy group only compared to the drugs with electrical cardiac device group. Give your answer to three decimals, e.g., 5.432 .

 

 6-  Use the following probability distribution for this next question. Biologists researching a certain type of hawk, Accipiter spp., found the following probability values for x, the number of offspring. 

 

7 - Use the binomial distribution for this question. A doctor knows from experience that 10% of the patients to whom she gives a certain medication will experience undesirable side effects. Assume the doctor gives medication to the next 12 patients. Referring to the binomial distribution for the medication, find the probability that at most two of these patients will experience undesirable side effects. Give your answer to three decimals, e.g., .987 .

 

8 - Use the Standard Normal distribution to answer this question. Identify the probability corresponding to a z-score of less than -1.33.

 

9 - Use the Poisson distribution for this question. For a science laboratory experiment, the average number of radioactive particles passing through a counter in a millisecond is four. Find the probability that no particles pass through the counter in a given millisecond. Give your answer to three decimals, e.g., .987 .

 

10 - Use the normal distribution for this question. The mean maximum aerobic power (VO2MAX) score for women ages 20 to 29 is 36 ml/min/kg with a standard deviation of 7 ml/min/kg. Determine the minimum VO2MAX score for elite women ages 20 to 29 scoring in the top 10% of their peers. Give your answer to two decimals, e.g., 12.34 .

 

11 - The mileage of the Honda Fit hybrid is normally distributed with a mean of 63.4 mpg and a standard deviation of 12.6 mpg. Find the probability that the mean mileage of six Honda Insights exceeds 70 mpg. Give your answer to three decimals, e.g., .987 .

 

12 - Assume a simple random sample has been taken, the population standard deviation is known, and the population is normally distributed. According to a sample of 200 various insurance brokers and health experts, a typical childbirth in the United States costs a mean of $9500. Assume we know from a previous study, the standard deviation of the cost of the births is $2500. Use a 98% confidence level.

 

Use the sample data and confidence level to construct a confidence interval estimate of the population mean m . Give your answer in the form (1234,5678).

     

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