BUSINESS STATISTICS CORE MAIN EXAM 2026 QUESTIONS
AND ANSWERS SURE A+
✔✔The probability of an event is the sum of the probabilities of the sample space
outcomes that correspond to the event.
True
False - ✔✔True
✔✔A population is a set of existing units.
True
False - ✔✔True
✔✔A confidence interval for the population mean is an interval constructed around the
________.
z test statistic
Sample mean
t test statistic
Population mean - ✔✔sample mean
✔✔In a binomial experiment, the results of one trial are dependent on the results of
other trials.
True
False - ✔✔false
✔✔All continuous random variables are normally distributed.
True
False - ✔✔false
✔✔If all the points in a scatterplot lie on the least squares regression line, then the
coefficient of correlation...
must be 1.0
,must be -1.0
must be either -1.0 or 1.0
must be 0 - ✔✔must be either -1.0 or 1.0
✔✔In testing the difference between the means of two normally distributed populations
using independent random samples, the alternative hypothesis always indicates no
differences between the two specified means.
True
False - ✔✔False
✔✔For a hypothesis test about a population proportion or mean, if the level of
significance is less than the p-value, the null hypothesis is rejected.
True
False - ✔✔False
✔✔If the sampled population distribution is skewed, then in most cases the sampling
distribution of the mean can be approximated by the normal distribution if the sample
size n is at least 30.
True
False - ✔✔True
✔✔If the coefficient of correlation is a positive value, then the corresponding regression
equation...
must have a positive slope
must have a negative slope
could have either a positive or negative slope
must have a positive y-intercept - ✔✔must have a positive slope
✔✔Which of the following is a continuous distribution?
, Hypergeometric
Normal
Binomial
Poisson - ✔✔normal
✔✔A financial analyst working for a financial consulting company wishes to find
evidence that the average price-to-earnings ratio in the consumer industry is higher than
the average price-to-earnings ratio in the banking industry. The alternative hypothesis
is:
μconsumer < μbanking
μconsumer ≠ μbanking
μconsumer > μbanking
μconsumer ≤ μbanking
μconsumer = μbanking - ✔✔μconsumer > μbanking
✔✔If a null hypothesis is not rejected at a significance level of .05, it will ________ be
rejected at a significance level of .01.
Always
Never
Sometimes - ✔✔never
✔✔When the level of confidence and sample size remain the same, a confidence
interval for a population proportion p will be narrower when p(1-p) is larger than when
p(1-p) is smaller.
True
False - ✔✔false
✔✔The Central Limit Theorem states that as the sample size increases, the distribution
of the sample ________ approaches the normal distribution.
AND ANSWERS SURE A+
✔✔The probability of an event is the sum of the probabilities of the sample space
outcomes that correspond to the event.
True
False - ✔✔True
✔✔A population is a set of existing units.
True
False - ✔✔True
✔✔A confidence interval for the population mean is an interval constructed around the
________.
z test statistic
Sample mean
t test statistic
Population mean - ✔✔sample mean
✔✔In a binomial experiment, the results of one trial are dependent on the results of
other trials.
True
False - ✔✔false
✔✔All continuous random variables are normally distributed.
True
False - ✔✔false
✔✔If all the points in a scatterplot lie on the least squares regression line, then the
coefficient of correlation...
must be 1.0
,must be -1.0
must be either -1.0 or 1.0
must be 0 - ✔✔must be either -1.0 or 1.0
✔✔In testing the difference between the means of two normally distributed populations
using independent random samples, the alternative hypothesis always indicates no
differences between the two specified means.
True
False - ✔✔False
✔✔For a hypothesis test about a population proportion or mean, if the level of
significance is less than the p-value, the null hypothesis is rejected.
True
False - ✔✔False
✔✔If the sampled population distribution is skewed, then in most cases the sampling
distribution of the mean can be approximated by the normal distribution if the sample
size n is at least 30.
True
False - ✔✔True
✔✔If the coefficient of correlation is a positive value, then the corresponding regression
equation...
must have a positive slope
must have a negative slope
could have either a positive or negative slope
must have a positive y-intercept - ✔✔must have a positive slope
✔✔Which of the following is a continuous distribution?
, Hypergeometric
Normal
Binomial
Poisson - ✔✔normal
✔✔A financial analyst working for a financial consulting company wishes to find
evidence that the average price-to-earnings ratio in the consumer industry is higher than
the average price-to-earnings ratio in the banking industry. The alternative hypothesis
is:
μconsumer < μbanking
μconsumer ≠ μbanking
μconsumer > μbanking
μconsumer ≤ μbanking
μconsumer = μbanking - ✔✔μconsumer > μbanking
✔✔If a null hypothesis is not rejected at a significance level of .05, it will ________ be
rejected at a significance level of .01.
Always
Never
Sometimes - ✔✔never
✔✔When the level of confidence and sample size remain the same, a confidence
interval for a population proportion p will be narrower when p(1-p) is larger than when
p(1-p) is smaller.
True
False - ✔✔false
✔✔The Central Limit Theorem states that as the sample size increases, the distribution
of the sample ________ approaches the normal distribution.
