SUMMATIVE ASESSMENT IN STATISTICS AND PROBABILITY Q1

What is used to estimate a population parameter using range of values?

• Confidence Interval

• Sample Mean

• Point Estimator

• Interval Estiamtor

The ages (in years) of five randomly selected customers of a shop are shown below. What is the best point estimate of the population mean age 𝜇 of customers of the shop?

(a)  

What is used to estimate a population parameter using a single number?

• A. Confidence interval

• B. Sample mean

• C. Point estimator

• D. Population parameter

What is a normal random variable?

• A. A variable that follows a normal distribution

• B. A variable that follows a uniform distribution

• C. A variable that follows an exponential distribution

• D. A variable that follows a binomial distribution

Which mathematical concept is used to calculate the expected value in a discrete probability distribution?

• A. Median

• B. Mode

• C. Mean

• D. Standard deviation

What does the sum of probabilities across all possible outcomes in a discrete probability distribution equal?

• A. 0

• B. 1

• C. Infinity

• D. Depends on the number of outcomes

What refers to the entire group that is under study or investigation?

• A. Population

• B. Sample

• C. Random Sampling

• D. Subset

What is a numerical quantity that is assigned to the outcome of an experiment?

• A. Random Variable

• B. Variable

• C. Probability

• D. Probability Distribution

Which of the following represents a characteristic of a discrete probability distribution?

• A. Assigns probabilities to a continuous range of values

• B. Allows for infinite possible outcomes

• C. Describes the probability of each specific outcome

• D. Assumes a normal distribution shape

What is the formula used in finding for the mean of the sample means?

• A. µx̄=Σ[x∙Pµ]

• B. µx̄=Σ[µ∙Px]

• C. µx̄=Σ[n∙Px]

• D. µx̄=Σ[x̄∙Px̄]