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- A
telephone survey uses a random digit dialing machine to call subjects. The
random digit dialing machine is expected to reach a live person 15% of the
time. In eight attempts, what is the probability of achieving exactly two
successful calls?
- The
prevalence of a trait is 76.8%.
- In
a simple random sample of n = 5, how
many individuals are expected to exhibit this characteristic?
- How
many would you expect to see with this characteristic in a simple random sample
of n = 10?
- What
is the probability of seeing nine or more individuals with this characteristic
in a simple random sample of n = 10?
- Linda
hears a story on National Public Radio stating that one in six eggs in the
United States are contaminated with Salmonella.
If Salmonella contamination occurs
independently within and between egg cartons and Linda makes a three egg
omelet, what is the probability that her omelet will contain at least one Salmonella contaminated egg?
- Suppose
that heights of 10-year old boys vary according to a Normal distribution with µ
= 138 cm and σ = 7 cm.
- What
proportion of this population is less than 150 cm tall?
- What
proportion is less than 140 cm in height?
- What
proportion is between 150 and 140 cm?
- The
Wechsler Adult Intelligence Scale scores are calibrated to vary according to a
normal distribution with µ = 100 and σ = 15. What Wechsler scores cover the
middle 50% of the population? In other words, identify the 25th
percentile and 75th percentile of the population.
- Suppose
that scores on the biological sciences section of the Medical College
Admissions Test (MCAT) are normally distributed with a mean of 9.2 and a
standard deviation of 2.2. Successful applicants to become medical students had
a mean score of 10.8 on this portion of the test. What percentage of applicants
had a score of 10.8 or greater?
- A
survey selects a simple random sample of n
= 500 people from a town of 55,000. The sample shows a mean of 2.30 health
problems per person (standard deviation = 1.65). Based on this information, say
whether each of the following statements is true
or false. Explain your reasoning in
each instance.
- The
standard deviation of the sample mean is 0.074.
- It
is reasonable to assume that the number of health problems per person will vary
according to a normal distribution.
- It
is reasonable to assume that the sampling distribution of the mean will vary
according to a normal distribution.
- Ten
people are given a choice of two treatments. Let p represent the proportion of patients in the patient population
who prefer treatment A. Among the 10 patients asked, 7 preferred method A. Assuming
there is no preference in the patient population (i.e., p = 0.5), calculate P(X >
7).
- A
simple random sample of 18 male students at a university has an average height
of 70 inches. The average height of men in the general population is 69 inches.
Assume that male height is approximately normally distributed with σ = 2.8
inches. Conduct a two-sided hypothesis test to determine whether the male students
are significantly taller than expected. Show all hypothesis testing steps.
- True
or false? The p-value refers to the
probability of the data or data more extreme assuming the null hypothesis.
- A
researcher fails to find a significant different in mean blood pressure in 36
matched pairs. The standard deviation of the difference was 5 mmHg. What was
the power of the test to find a mean difference of 2.5 mmHg at α = 0.05
(two-sided)?
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davie
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davie2019-07-02 16:03:362019-07-02 16:03:36A telephone survey uses a random digit dialing machine to call subjects. The random digit dialing machine is expected to reach a live person 15% of the time. In eight attempts, what is the probability of achieving exactly two successful calls?