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 cumulative frequency distribution were constructed for the weights of the salmon, what would be the cumulative frequency for the class weighing less than 200 grams?
15
25
55
80
2. Select the complement of the event: All 80 participants in a study are kidney donors.
At least one of the participants is a kidney donor.
Less than 40 of the participants are kidney donors.
None of the participants are kidney donors.
More than 40 of the participants are kidney donors.
3. 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.
4. 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 three of these patients will experience undesirable side effects. Give your answer to three decimals, e.g., .987.
5.Use the Standard Normal distribution to answer this question. Identify the probability corresponding to a z-score of less than -1.33.
.0918
.9082
.8165
.6239
6. 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.
7. 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. Find the probability of a woman between the ages of 20 to 29 having a VO2MAX score of greater than 45 ml/min/kg. Give your answer to three decimals, e.g., .987 .
8. Find the minimum sample size required to estimate a population proportion p . Margin of error: four percentage points; confidence evel: 95%; from a prior study, p is estimated by = .125 . Round your answer up to the nearest integer.
9. Assume that a simple random sample has been taken, the population standard deviation is not known, and the population is normally distributed. Medical researchers studying cochlear implants, devices placed behind the bone in the ear to improve hearing, found the following number of implants over the last twelve years in children under 3 years old. Use a 90% confidence level and the following sample data:
40 90 99 120 150 220 300 320 460 520 600 650
Use the sample data and confidence level to construct a confidence interval estimate of the population mean µ. Give your answer to with one decimal, e.g., (123.4,567.8) .
10. Biologists measure the water temperature of the Merrimack River in New Hampshire. What type of data is collected?
Nominal
Ordinal
Interval
Ratio.