Page 1 of 43
BUAL 2650 GUPTA EXAM 1 ALL QUESTIONS
AND VERIFIED SOLUTIONS LATEST UPDATE
THIS YEAR
QUESTION: When the population is normally distributed, population standard deviation σ is
known, and the sample size is n = 50, the confidence interval for the population mean μ is
based on ___________
◦ the z (normal) distribution.
◦ the binomial distribution.
◦ the Poisson distribution.
◦ the t distribution. - ANSWER-the z (normal) distribution
QUESTION: what is the central limit theorem? - ANSWER-the sampling distribution of any
statistic will be normal or nearly normal, if the sample size is large enough
QUESTION: Type 1 Error - ANSWER-false positive
QUESTION: Type II Error - ANSWER-false negative
1
, Page 2 of 43
QUESTION: Which of the following statements is not a property of the normal probability
distribution?
•A) The normal distribution is symmetric.
•B) 95.44 percent of all possible observed values of the random variable x are within plus or
minus three standard deviations of the population mean.
•C) The mean, median, and mode are equal.
•D) The area under the normal curve to the right of the mean is equal to the area under the
normal curve to the left of the mean.
•E) All of these answers are properties of the normal distribution - ANSWER-95.44 percent of all
possible observed values of the random variable x are within plus or minus three standard
deviations of the population mean.
A standard normal distribution has a mean of ________ and standard deviation of ________. -
ANSWER-zero, one
QUESTION: The area under the normal curve between z = 0 and z = 1 is ________ the area
under the normal curve between z = 1 and z = 2. - ANSWER-greater than
QUESTION: DF = - ANSWER-n - 1
2
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QUESTION: P(z<2.13)= - ANSWER-0.9834
QUESTION: P(z>1.5)= - ANSWER-0.0668
QUESTION: P(-1<z<1)= - ANSWER-0.6826
QUESTION: ________ is rejecting H0 when H0 is true. - ANSWER-a type 1 error
QUESTION: When the population is normally distributed, population standard deviation σ is
unknown, and the sample size is n = 15, the confidence interval for the population mean μ is
based on ___________
◦ the z (normal) distribution.
◦ the binomial distribution.
◦ the Poisson distribution.
◦ the t distribution. - ANSWER-the t distribution
3
, Page 4 of 43
QUESTION: A confidence interval for the population mean is an interval constructed around the
________.
A)z test statistic
B)population mean
C)sample mean
D)t test statistic - ANSWER-sample mean
QUESTION: When the population is normally distributed, population standard deviation σ is
unknown, and the sample size is n = 12, the confidence interval for the population mean μ is
based on _______.
A) the z (normal) distribution.
B) the t distribution.
C) the binomial distribution.
D) the Poisson distribution - ANSWER-the t distribution
QUESTION: . When testing a hypothesis about a single mean, if the sample size is 51 and the
population standard deviation is known, the correct test statistic to use is ________
A) r
4
BUAL 2650 GUPTA EXAM 1 ALL QUESTIONS
AND VERIFIED SOLUTIONS LATEST UPDATE
THIS YEAR
QUESTION: When the population is normally distributed, population standard deviation σ is
known, and the sample size is n = 50, the confidence interval for the population mean μ is
based on ___________
◦ the z (normal) distribution.
◦ the binomial distribution.
◦ the Poisson distribution.
◦ the t distribution. - ANSWER-the z (normal) distribution
QUESTION: what is the central limit theorem? - ANSWER-the sampling distribution of any
statistic will be normal or nearly normal, if the sample size is large enough
QUESTION: Type 1 Error - ANSWER-false positive
QUESTION: Type II Error - ANSWER-false negative
1
, Page 2 of 43
QUESTION: Which of the following statements is not a property of the normal probability
distribution?
•A) The normal distribution is symmetric.
•B) 95.44 percent of all possible observed values of the random variable x are within plus or
minus three standard deviations of the population mean.
•C) The mean, median, and mode are equal.
•D) The area under the normal curve to the right of the mean is equal to the area under the
normal curve to the left of the mean.
•E) All of these answers are properties of the normal distribution - ANSWER-95.44 percent of all
possible observed values of the random variable x are within plus or minus three standard
deviations of the population mean.
A standard normal distribution has a mean of ________ and standard deviation of ________. -
ANSWER-zero, one
QUESTION: The area under the normal curve between z = 0 and z = 1 is ________ the area
under the normal curve between z = 1 and z = 2. - ANSWER-greater than
QUESTION: DF = - ANSWER-n - 1
2
, Page 3 of 43
QUESTION: P(z<2.13)= - ANSWER-0.9834
QUESTION: P(z>1.5)= - ANSWER-0.0668
QUESTION: P(-1<z<1)= - ANSWER-0.6826
QUESTION: ________ is rejecting H0 when H0 is true. - ANSWER-a type 1 error
QUESTION: When the population is normally distributed, population standard deviation σ is
unknown, and the sample size is n = 15, the confidence interval for the population mean μ is
based on ___________
◦ the z (normal) distribution.
◦ the binomial distribution.
◦ the Poisson distribution.
◦ the t distribution. - ANSWER-the t distribution
3
, Page 4 of 43
QUESTION: A confidence interval for the population mean is an interval constructed around the
________.
A)z test statistic
B)population mean
C)sample mean
D)t test statistic - ANSWER-sample mean
QUESTION: When the population is normally distributed, population standard deviation σ is
unknown, and the sample size is n = 12, the confidence interval for the population mean μ is
based on _______.
A) the z (normal) distribution.
B) the t distribution.
C) the binomial distribution.
D) the Poisson distribution - ANSWER-the t distribution
QUESTION: . When testing a hypothesis about a single mean, if the sample size is 51 and the
population standard deviation is known, the correct test statistic to use is ________
A) r
4
