BUAL 2650 GUPTA EXAM 1 REVIEW QUESTIONS AND ALL
ANSWERS CORRECT
When describing a continuous random variable x, the uniform distribution is
appropriate.
All feasible values of x have roughly equal relative frequencies.
When np ≥ 5 and n(1 − p) ≥ 5, the binomial distribution's normal approximation
is adequate.
With a mean of 910 grams and a standard deviation of 5 grams, the fill weight
of a particular type of adult cereal is usually distributed. For a particular box of
this cereal brand, we computed the value of z, and the result was negative. This
z value is negative, meaning that
There is less than 910 grams of fill weight.
Which of the following claims about the normal probability distribution is
untrue?
Within three standard deviations of the population mean, 95.44 percent of all
possible observed values of the random variable x fall within this range.
______ percent of all potential observed values of x will fall within three
standard deviations of the mean if the random variable x is normally distributed.
99.73
The number of times that a value of x deviates from the mean is shown by the z
value.
standard deviations
, A (n) ________ distribution is a continuous probability distribution with a
rectangular shape in which the probability is uniformly distributed throughout a
range of values.
Each normal distribution's ________ and ________ mean and standard
deviation define its unique form.
For a continuous probability distribution to be considered legitimate, its area
under the curve needs to equal 1.
A normal curve with ________ standard deviation values is flatter and wider.
Bigger
A conventional normal distribution's mean is always equal to ___.
The distribution of sample means for nonnormal populations approaches a(n)
________ distribution as the sample size (n) ___ increases.
rises, typical
According to ________, sample means are roughly normally distributed if the
sample size is large enough.
The Theorem of Central Limits
The ________ determines the precise spread of the t distribution.
quantity of degrees of freedom
With a sample size of n = 15, a normally distributed population, and an
unknown population standard deviation σ, the confidence interval for the
population mean μ is based on
the distribution of t.
ANSWERS CORRECT
When describing a continuous random variable x, the uniform distribution is
appropriate.
All feasible values of x have roughly equal relative frequencies.
When np ≥ 5 and n(1 − p) ≥ 5, the binomial distribution's normal approximation
is adequate.
With a mean of 910 grams and a standard deviation of 5 grams, the fill weight
of a particular type of adult cereal is usually distributed. For a particular box of
this cereal brand, we computed the value of z, and the result was negative. This
z value is negative, meaning that
There is less than 910 grams of fill weight.
Which of the following claims about the normal probability distribution is
untrue?
Within three standard deviations of the population mean, 95.44 percent of all
possible observed values of the random variable x fall within this range.
______ percent of all potential observed values of x will fall within three
standard deviations of the mean if the random variable x is normally distributed.
99.73
The number of times that a value of x deviates from the mean is shown by the z
value.
standard deviations
, A (n) ________ distribution is a continuous probability distribution with a
rectangular shape in which the probability is uniformly distributed throughout a
range of values.
Each normal distribution's ________ and ________ mean and standard
deviation define its unique form.
For a continuous probability distribution to be considered legitimate, its area
under the curve needs to equal 1.
A normal curve with ________ standard deviation values is flatter and wider.
Bigger
A conventional normal distribution's mean is always equal to ___.
The distribution of sample means for nonnormal populations approaches a(n)
________ distribution as the sample size (n) ___ increases.
rises, typical
According to ________, sample means are roughly normally distributed if the
sample size is large enough.
The Theorem of Central Limits
The ________ determines the precise spread of the t distribution.
quantity of degrees of freedom
With a sample size of n = 15, a normally distributed population, and an
unknown population standard deviation σ, the confidence interval for the
population mean μ is based on
the distribution of t.