Ornithologists
classify hummingbirds in the United States using 17 different species:
Allen, Anna, Berylline, Black-chinned, Blue-throated, Broad-billed,
Broad-tailed, Buff-bellied, Calliope, Costa, Lucifer, Magnificent,
Ruby-throated, Rufous, Violet-crowned, White-eared, and Xantus. What
type of data is collected?
(Points : 1)
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 |
If a Pie Chart were constructed for the weights of the salmon, what
would be the measure of the central angle for the class weighing 200-249
grams?
(Points : 1)
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 standard deviation of the probability distribution for
offspring of Accipiter spp. Give your answer to one decimal, e.g., 1.2
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 exactly five of these patients will
experience undesirable side effects. Give your answer to three decimals,
e.g., .987
Use the Standard
Normal distribution to answer this question. Identify the probability
corresponding to a z-score of less than -1.33.
(Points : 1)
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 six particles pass through the counter
in a given millisecond. Give your answer to three decimals, e.g., .987
Use the normal distribution for this question. The mean maximum aerobic power (VO_{2MAX} score for women ages 20 to 29 is 36 ml/min/kg with a standard deviation of 7 ml/min/kg. Determine the maximum VO_{2MAX}
score for women ages 20 to 29 who score in the bottom 20% of all women
in this age bracket. Give your answer to two decimals, e.g., 12.34
Find the minimum sample size required to estimate a population mean m
from an underlying normal distribution. Margin of error: 5; confidence
level: 95%; σ = 20. Round your answer up to the nearest integer.
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.
Find the margin of error E that corresponds to the above statistics and
confidence level. Give your answer to the nearest integer.
Expert Solution Preview
Introduction: In this assignment, we will test the knowledge of medical college students in statistics by evaluating their understanding of different types of data, calculations involving probability distributions, and confidence intervals.
1. What type of data is collected when ornithologists classify hummingbirds in the United States using 17 different species?
Answer: Nominal.
2. If a Pie Chart were constructed for the weights of 80 juvenile salmon, what would be the measure of the central angle for the class weighing 200-249 grams?
Answer: 67.5°.
3. Which of the following scenarios represents an example of correlation?
Answer: Consuming a 1400 calorie hamburger each day for a week; Gaining weight.
4. Biologists researching a certain type of hawk, Accipiter spp., found the following probability values for x, the number of offspring. Find the standard deviation of the probability distribution for offspring of Accipiter spp.
Answer: 1.5.
5. 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 exactly five of these patients will experience undesirable side effects.
Answer: 0.232.
6. Identify the probability corresponding to a z-score of less than -1.33 using the Standard Normal distribution.
Answer: 0.0918.
7. For a science laboratory experiment, the average number of radioactive particles passing through a counter in a millisecond is four. Find the probability that six particles pass through the counter in a given millisecond using the Poisson distribution.
Answer: 0.104.
8. 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 maximum VO2MAX score for women ages 20 to 29 who score in the bottom 20% of all women in this age bracket using the normal distribution.
Answer: 30.29 ml/min/kg.
9. Find the minimum sample size required to estimate a population mean m from an underlying normal distribution. Margin of error: 5; confidence level: 95%; σ = 20. Round your answer up to the nearest integer.
Answer: 97.
10. Find the margin of error E that corresponds to the above statistics and confidence level: a sample of 200 various insurance brokers and health experts, a typical childbirth in the United States costs a mean of $9500 with a standard deviation of $2500, and a 98% confidence level.
Answer: $178.