BUAL 2650 Final Exam Questions & Answers | 100% Verified solutions
|Questions with Correct Answers 2026 latest update!!
Suppose that a random variable x has a uniform distribution with c = 2 and d =8. Find P(3 <= x <= 5) -
(ANSWER).333
Find the area under the normal curve when P(Z > -2) - (ANSWER).9772
Find the area under the normal curve between P(1 < z <2) - (ANSWER).1359
In a manufacturing process, we are interested in measuring the average length of a certain type of bolt.
Past data indicate that the standard deviation is .25 inches. How many manufactured bolts should be
sampled in order to make us 95 percent confident that the sample mean bolt length is within .02 inches
of the true mean bolt length? - (ANSWER)601
Rejecting a true null hypothesis is called a ________ error. - (ANSWER)Type 1
A recent study conducted by the state government attempts to determine whether the voting public
supports a further increase in cigarette taxes. The opinion poll recently sampled 1,500 voting-age
citizens. 1,020 of the sampled citizens were in favor of an increase in cigarette taxes. The state
government would like to decide if there is enough evidence to establish whether the proportion of
citizens supporting an increase in cigarette taxes is significantly greater than .66. Identify the null
hypothesis. - (ANSWER)p ≤ .66
In testing H0: μ= 23; versus HA: μ > 23 using the critical value rule, when x¯ = 26, s = 6, and n = 20, what
is the value of the test statistic? Assume that the population from which the sample is selected is
normally distributed. - (ANSWER)2.24
In a manufacturing process, a random sample of 36 manufactured bolts has a mean length of 3 inches
with a standard deviation of .3 inches. What is the 99 percent confidence interval for the true mean
length of the manufactured bolt? - (ANSWER)2.228 to 3.772
A confidence interval for the population mean is an interval constructed around the ________. -
(ANSWER)sample mean
, BUAL 2650 Final Exam Questions & Answers | 100% Verified solutions
|Questions with Correct Answers 2026 latest update!!
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. - (ANSWER)the t distribution
The exact spread of the t distribution depends on the ________. - (ANSWER)number of degrees of
freedom
______ says that if the sample size is sufficiently large, then the sample means are approximately
normally distributed. - (ANSWER)The Central Limit Theorem
The mean of a standard normal distribution is always equal to ________. - (ANSWER)0
________ values of the standard deviation result in a normal curve that is wider and flatter. -
(ANSWER)larger
The area under the curve of a valid continuous probability distribution must ________. - (ANSWER)equal
1
A continuous probability distribution having a rectangular shape, where the probability is evenly
distributed over an interval of numbers is a(n) ________ distribution - (ANSWER)uniform
The specific shape of each normal distribution is determined by its ________ and ________. -
(ANSWER)mean, standard deviation
If the random variable x is normally distributed, ______ percent of all possible observed values of x will
be within three standard deviations of the mean - (ANSWER)99.73
|Questions with Correct Answers 2026 latest update!!
Suppose that a random variable x has a uniform distribution with c = 2 and d =8. Find P(3 <= x <= 5) -
(ANSWER).333
Find the area under the normal curve when P(Z > -2) - (ANSWER).9772
Find the area under the normal curve between P(1 < z <2) - (ANSWER).1359
In a manufacturing process, we are interested in measuring the average length of a certain type of bolt.
Past data indicate that the standard deviation is .25 inches. How many manufactured bolts should be
sampled in order to make us 95 percent confident that the sample mean bolt length is within .02 inches
of the true mean bolt length? - (ANSWER)601
Rejecting a true null hypothesis is called a ________ error. - (ANSWER)Type 1
A recent study conducted by the state government attempts to determine whether the voting public
supports a further increase in cigarette taxes. The opinion poll recently sampled 1,500 voting-age
citizens. 1,020 of the sampled citizens were in favor of an increase in cigarette taxes. The state
government would like to decide if there is enough evidence to establish whether the proportion of
citizens supporting an increase in cigarette taxes is significantly greater than .66. Identify the null
hypothesis. - (ANSWER)p ≤ .66
In testing H0: μ= 23; versus HA: μ > 23 using the critical value rule, when x¯ = 26, s = 6, and n = 20, what
is the value of the test statistic? Assume that the population from which the sample is selected is
normally distributed. - (ANSWER)2.24
In a manufacturing process, a random sample of 36 manufactured bolts has a mean length of 3 inches
with a standard deviation of .3 inches. What is the 99 percent confidence interval for the true mean
length of the manufactured bolt? - (ANSWER)2.228 to 3.772
A confidence interval for the population mean is an interval constructed around the ________. -
(ANSWER)sample mean
, BUAL 2650 Final Exam Questions & Answers | 100% Verified solutions
|Questions with Correct Answers 2026 latest update!!
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. - (ANSWER)the t distribution
The exact spread of the t distribution depends on the ________. - (ANSWER)number of degrees of
freedom
______ says that if the sample size is sufficiently large, then the sample means are approximately
normally distributed. - (ANSWER)The Central Limit Theorem
The mean of a standard normal distribution is always equal to ________. - (ANSWER)0
________ values of the standard deviation result in a normal curve that is wider and flatter. -
(ANSWER)larger
The area under the curve of a valid continuous probability distribution must ________. - (ANSWER)equal
1
A continuous probability distribution having a rectangular shape, where the probability is evenly
distributed over an interval of numbers is a(n) ________ distribution - (ANSWER)uniform
The specific shape of each normal distribution is determined by its ________ and ________. -
(ANSWER)mean, standard deviation
If the random variable x is normally distributed, ______ percent of all possible observed values of x will
be within three standard deviations of the mean - (ANSWER)99.73
