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BIOSTASTISTICS
1. Which of the following best describes the term "population" in statistics?
A) A sample of data from a specific group
B) The entire group being studied
C) A random selection of individuals
D) A group of data points collected from one source
Answer: B) The entire group being studied
Explanation: A population in statistics refers to the complete set of items or individuals that are
being studied or analyzed. A sample is a subset of the population.
2. What is the primary difference between descriptive and inferential statistics?
A) Descriptive statistics summarize data, while inferential statistics make predictions about a
population.
B) Descriptive statistics focus on making predictions, while inferential statistics summarize data.
C) Descriptive statistics and inferential statistics have the same purpose.
D) Inferential statistics involve qualitative data, while descriptive statistics involve quantitative
data.
Answer: A) Descriptive statistics summarize data, while inferential statistics make predictions
about a population.
Explanation: Descriptive statistics are used to summarize or describe a set of data, while
inferential statistics are used to make conclusions or predictions about a population based on a
sample.
3. Which of the following is a type of sampling method where every member of
the population has an equal chance of being selected?
A) Stratified sampling
B) Random sampling
C) Convenience sampling
D) Systematic sampling
,Answer: B) Random sampling
Explanation: Random sampling ensures that every individual in the population has an equal
chance of being selected for the sample, reducing bias in the selection process.
4. What is the mean of the following dataset: 2, 4, 6, 8, 10?
A) 4
B) 6
C) 7
D) 5
Answer: B) 6
Explanation: The mean is calculated by summing the numbers and dividing by the count of
numbers:
(2+4+6+8+10)/5=30/5=6(2 + 4 + 6 + 8 + 10) / 5 = = 6(2+4+6+8+10)/5=30/5=6
5. If the standard deviation of a dataset is 10, what is the variance?
A) 100
B) 10
C) 20
D) 5
Answer: A) 100
Explanation: Variance is the square of the standard deviation. If the standard deviation is 10,
then variance = 102=10010^2 = 100102=100.
6. What is the purpose of hypothesis testing in statistics?
A) To summarize data
B) To estimate population parameters
C) To assess the validity of a claim about a population
D) To calculate the mean of a sample
Answer: C) To assess the validity of a claim about a population
Explanation: Hypothesis testing is used to evaluate whether there is enough evidence to reject a
null hypothesis about a population parameter.
,7. In a normal distribution, what percentage of the data lies within one standard
deviation of the mean?
A) 50%
B) 68%
C) 95%
D) 99.7%
Answer: B) 68%
Explanation: In a normal distribution, approximately 68% of the data lies within one standard
deviation of the mean.
8. Which of the following measures of central tendency is most affected by
outliers?
A) Mean
B) Median
C) Mode
D) Range
Answer: A) Mean
Explanation: The mean is most sensitive to outliers because extreme values can heavily
influence the total sum, skewing the average.
9. In hypothesis testing, what is the p-value used to determine?
A) The sample size
B) The probability of the null hypothesis being true
C) The likelihood of obtaining the observed data if the null hypothesis is true
D) The probability of the alternative hypothesis being true
Answer: C) The likelihood of obtaining the observed data if the null hypothesis is true
Explanation: The p-value represents the probability of observing data as extreme as what is
actually observed, assuming the null hypothesis is true. A small p-value suggests that the null
hypothesis may not be valid.
10. What is the formula for the coefficient of variation (CV)?
, A) CV = (mean / standard deviation) * 100
B) CV = (standard deviation / mean) * 100
C) CV = (variance / mean) * 100
D) CV = (mean / variance) * 100
Answer: B) CV = (standard deviation / mean) * 100
Explanation: The coefficient of variation is a measure of relative variability and is calculated by
dividing the standard deviation by the mean and multiplying by 100 to express it as a percentage.
11. What is the primary purpose of a confidence interval in biostatistics?
A) To estimate a sample's mean
B) To provide a range of values that is likely to contain the population parameter
C) To determine the sample size
D) To compare two groups
Answer: B) To provide a range of values that is likely to contain the population parameter
Explanation: A confidence interval gives an estimated range of values that is likely to contain
the true population parameter, providing a level of certainty (e.g., 95% confidence).
12. Which of the following describes a type I error in hypothesis testing?
A) Rejecting the null hypothesis when it is true
B) Failing to reject the null hypothesis when it is false
C) Making a decision based on insufficient evidence
D) Calculating the sample mean incorrectly
Answer: A) Rejecting the null hypothesis when it is true
Explanation: A Type I error occurs when the null hypothesis is rejected even though it is actually
true. It is also known as a "false positive."
13. In a study, you are comparing two groups: a treatment group and a control group. What
type of statistical test would you most likely use?
A) Chi-square test
B) Paired t-test
C) Independent t-test
D) Wilcoxon rank-sum test